Question # 1

The quadratic equation 8 sec2θ - 6 secθ +1 =0 has

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Infinitely many roots

Exactly two roots

Exactly four roots

No roots

A square matrix A for which A^t= A is called a

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Column matrix

Symmetric matrix

Skew-symmetric matrix

Row matrix

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a^xIn a + c

a^x+ c

x a^x+ c

n(n - 1) (n - 2) in factorial form is

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The solution set of the equation |3x + 2| = 5 is

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The range of the function f : x→ y is defined by

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{x| y = f (x) ∀x∈ X ∧y∈y}

{(x,y) |y = f (x)∀x∈ X}

{y|y = f (x) ∀x∈ X ∧y∈y}

Y

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The graph of linear equation 2x + 3y = 10

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Parabola

Circle

Hyperbola

Straight line

Range of tan x is ______

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[-1, -]

R

Negative real numbers

R - {x | - 1 < x < 1}

Which of the following is a vector.

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distance

temperature

energy

acceleration

The matrix A = [aij]1xn is a

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Vector

Rectangular matrix

Column vector

Square matrix

If the cutting plane is slightly tilted and cuts only one nappe of the cone, the resulting section is:

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an ellipse

Circle

a hyperbola

a parabola

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P(A) + P(B)

P(A) - P(B)

P(A) . P(B)

P(A) / P(B)

In order of A is m x n and order of B is n x p then order of AB is

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m x m

n x n

m x p

p x m

For any set B, BUB' is

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Is set B

Set B'

Universal set

None of these

If sin 6θ+ sin 4θ+ sin 2θ, thenθ=

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A

0

Unit vector

None

The harmonic mean between a and b is

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Out of 40 consecutive natural numbers, two are chosen at random. Probability that the sum of the numbers is odd, is

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14 / 29

20 / 39

1 / 2

n

The centre fo the circle x²+ y²+ 12x -10 = 0 is

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(12, -10)

(6, -5)

(-12, 10)

(-6, 5)

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c = 0

c = -1

c = -2

c = 1

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28 / 81

28 / 243

81 / 28

243 / 82

A fraction in which the degree of the numerator is greater than or equal to the degree of the denominator is called

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A proper fraction

An improper fraction

An equation

An identity

The distance of the point (-2 , 3) from y-axis is

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2

-2

3

1

An observer on the top of a cliff 200 m above the sea level, observes the angles of depression of two ships on opposite sides of the cliff to be 45° and 30°, respectively. The distance between the ships if the line joining them points to the base of cliff is

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cos (180° -θ)=

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sinθ

- cosθ

- sinθ

None of above

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36

360

24

6

The distance of the point (-2, -3) from the origin is

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2

-5

-3

For non-trival solution |A| is

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A = 0

A^t= 0

|A| = 0

None of these

Which of the following is the subset of all sets

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Φ

{1,2,3}

{Φ}

{0}

The n numbers A₁,A₂,A₃,.....A_nare called an arithmetic means between a and b if a.A₁,A₂,A₃.....A_n, b is ______

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An arithmetic series

An arithmetic sequence

A geometric sequence

A harmonic sequence

sin (α+β) + sin (α-β)

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2 sinαcosβ

sin (2αβ)

sinαcosα

None of these

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30°

60°

45°

None of these

For non-trival solution |A| is

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non zero

A = 0

|A| = 0

At = 0

An equation containing at least one derivative of a depends variable with respect to independent variable is a (an)

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Implicit equation

Differential equation

General equation

None of these

The multiplicative inverse ofx^(-1) is

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x

a-2

0

1

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0

-4

none of these

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The domain of y =√(x^2-9) is

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R

(0 , +∞)

(-∞ , -3 )∪ (3 , +∞)

(0 ,∞)

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0

-1

1

2

The approximate increase in the area of a circular disc if its diameter increased form 44cm to 44.4cm is

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0.4cm

8.8πcm

17.6 πcm

35.2πcm

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Roots of the equation x²+ 5x - 1 = 0 are

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Rational

Irrational

Complex

None of these

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1/2

2

1/4

4

In how many ways can 5 persons be seated at a round table

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5!

4!

3!

120

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x = f(y)

y = f(x)

x = f(x)

y = f(y)

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0

1

undefined

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For all points (x,y) in first quadrant

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x > 0 , y < 0

x > 0 , y > 0

x < 0 , y < 0

x < 0 , y > 0

The sides of a right angled triangle are in A.P The ratio of sides is

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1:2:3

3:4:5

2:3:4

5:8:3

f(x) = sin x + cos²x is

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trigonometric function

algebraic function

exponential function

logarithmic function

A function whose domain is a subset of natural numbers is called ______

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Identity function

Sequence

Onto function

Series

What is the conjugate of -7 -2i ?

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-7 + 2i

7 +2i

7 -2i

√53

The graph of a quadratic function is

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Circle

Ellipse

Parabola

Hexagon

If distance between (3,b) and (0,0) is 3 then b = _______

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3

9

0

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The function discontinuous at x = 0 is (1) tan x (II) cot x (III) sec x (iv)cosec x)

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I & III

I & IV

II & IV

II & III

The matrix A = [aij]mxn with m ≠n is always

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Symmetric

Hermition

Skew-symmetric

None

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The point ________ is in the solution of the inequality 4x - 3y < 2

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(0,1)

(2,1)

(2,2)

(3,3)

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-3

-7

1

0

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If 2x^1/3+ 2x^-1/3= 5, then x is equal to

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1 or -1

2 or 1/2

8 or 1/8

4 or 1/4

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none of these

The value of k (k > 0) for which the equation x²+ kx + 64 = 0 and x²- 8x + k = 0 both will have real roots is

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8

-16

-64

16

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0

-2

1

4

The cube roots of 8 are

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The square root of 2i - 20i is

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+-(5 - 2i)

+-(5 + 2i)

(5 - 2i)

None of these

Additive inverse of -a -b is

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a

-a + b

a - b

a + b

If b²- 4ac = 0 then the roots of the equation are

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Real and distinct

Real and equal

Imaginary

None of these

There is no integer n for which 3n is

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Even

Prime

Odd

Real

tan^-1(1/4) + tan^-1(2/9) is equal to

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1/2 cos^-1(3/5)

1/2 sin^-1(3/5)

1/2 tan^-1(3/5)

tan^-11/2

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4

6

8

10

x = ________ is in the solution of 2x - 5 > 0

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0

2

-2

3

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(1, 3)

(-1, -3)

(1, -3)

(-1, 3)

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cotθ= sin 2θifθ=

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The sum of all even numbers less than 100 is

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2450

2352

2272

2468

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In f(x) + c

f(x) - c

a chord passing through the focus of a parabola is called a:

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Focal chord

Latus rectum

Tangent

Directrix

Which one is a pair of allied angles

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(180° -θ)

(180° -θ,180° +θ)

(180° +θ)

None of these

When rational fraction is separated into partial fractions, the result is

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an identity

A fraction

A partial sum

Improper fraction

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The set {-1,1} is closed under the binary operation of

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Addition

Multiplication

Subtraction

Division

A ________ divides the plane into left and right half planes.

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Vertical line

Horizontal line

Non vertical line

Inequality

The line l is horizontal if

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m is undefined

m=0

m=1

m=0-1

Tan^-11/x = ______

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sin x

sec^-1X

cot^-1X

None of these

A = B if

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A is equivalent to B

The domain of the principal tan function is

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Even

Odd

Prime

None of these

A farmer possesses 100 hectometers of land and wants to grow corn and wheat. Cultivations of corn requires 3 hours per hectometer while cultivation of wheat requires 2 hours per hectometer. Working hours cannot exceed 240. If he gets a profit of Rs. 20 per hectometer for corn and Rs. 15 per hectometer for wheat. The profit function for the farmer is

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P(x, y) = 20x + 15y

P(x, y) = 2x + 3y

P(x, y) = x + y

P(x, y) = 3x + 2y

The energy of ionization of an atom is the energy difference between orbital

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Which is used to identify Cu²⁺ions

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Nitric acid

Sulfuric acid

NaOH

HCI

Which one of the following equations represent the reaction that occurs when calcium nitrate is heated strongly

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The order of reactivity for a given halogen in Grignard's reagent is:

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CH₃X > C₂H₅X > C₃H₄X > C₄H₄X

C₂H₅X > C₃H₇X > C₄H₅X > CH₄X

C₃H₇X > C₄H₇X > CH₃X > C₂H₅X

C₄H₄X > C₃H₇X > C₂H₅X > CH₄X

Which statement is true for Na and Na⁺

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Size of Na is smaller than Na⁺

Size of Na is greater than Na⁺

Both have same properties.

Both have equal sizes.

The largest number of molecules are present in

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3.6 g of H₂O

4.8 g of C₂H₅OH

2.8 g of CO

5.4 g of N₂O₅

[Co(NH₃)₆]³⁺will form ______ structure

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Square planar

Tetrahedral

Octahedral

Trigonal bipyamidal

Protein may have

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Primary structure

Secondary structure

Tertiary structure

All of these

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Br_2(aq)

2, 4-dinitrophenylhydrazine

NaBH

Tollen's reagent

B-atom in BF₃has

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sp³hybridization

sp²hybridization

sp hybridization

no hybridization

The acid present in vinegar is

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CH₃COOH

HCI

H₂SO₄

HCOOH

The boiling point of heavy water is

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108°C

101.4°C

99°C

110°C

Caroxyl group has functional in it.

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one

two

three

four

n-butane and iso butane are an example of

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Chain isomerism

Positional isomerism

Meta merism

Functional group isomerism

Which of the substances Na, Hg, S Pt and graphite can be used as electrodes in electrolytic cells having aqueous solution?

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Na, Pt and graphite

Na and Hg

Pt and graphite only

Na and S only

The rate of reaction determined at a given time is called

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Average rate

Instantaneous rate

Specific rate

Overall rate

Hydrogenation of alkenes/alkynes inthe presence of Ni as catalyst at 3000°C result in the formation of corresponding alkanes. This reaction is known as

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Sabatier-senderens reaction

kolbes reaction

Cannizaro's reaction

Haloform reaction

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32 g

3.2 g

5.6 g

9.6 g

In the ground state of an atom the electron is present

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In the nucleus

In the second shell

Nearest to the nucleus

Farthest from the nucleus

Oleum is

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Castor oil

Oil of vitriol

Fuming of H₂SO₄

None of them

H₂+ L₂----2Hl

In the above equilibrium system, if the concentration of reactants at 25°C is increased, the value K_C will :

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Remains Constant

Increases

Cecreases

Depends upon nature of reactans

The heat of formation of SO₂(g) is -70.9 Kcal. The energy required for the decomposition of 1 mole of SO₂(g) is

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35.50 Kcal

70.9 Kcal

141.8 Kcal

-35.9 Kcal

Turnbull's blue is a compound called?

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Ferricyanide

Ferrous ferricyanide

Ferrous cyanide

Ferri - Ferro cyanide

Le-chatlier's principle is applied on the reversible reaction in order to

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Determine the rate of reaction

Predict the direction of reaction

Determine the extent of reaction

Find best conditions for favorable shifting the position of equilibrium

Which one of the following has no units of its K_cvalue

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Non-formation of menisus by Hg in presence of O₃is due to the formation of

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Mercuric oxide

Mercurous oxide

Mercuric chloride

Mercurous chloride

With increases of 10°C temperature the rate of reactiondoubles. This increase in rate of reactionis due to :

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Decrease in activation energy or reaction.

Decrease in number of collisions between reactant molecules.

Increase in activation energy of reactants.

Increase in number of effective collisions

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Electrophilic addition

Electrophilic substitution

Free radical substitution

Nuclophilic addition

Which of the following has magnesium?

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Carbonic anhydrase

Haemocyanin

chlorophyll

Vitamin B₁₂

Which is the derived lipid?

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Common fats

Vitamin-D

Common oils

Spinolipids

The process in which solvent particles surround solute particles is called

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Hydrolysis

Hydration

Solvation

Dissolution

A sequence of how many nucleotides in massenger RNA makes a codon for an amino acid

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Three

Four

One

Two

Propyne on hydrolysis in presence of H₂SO₄and HgSO₄gives

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Acetaldehyde

Acetone

Formaldehyde

None

The orbital in Rutherford's model is

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Spiral

Circular

Both

None

Zwitter ion is ______ ion an amino acid

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Polar

Monopular

Dipolar

Non polar

95% ethanol is called :

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Rectified ether.

Diesel.

Rectified spirit.

Petrol.

Maximum potential energy that an electron can have within the atom is:

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Equal to zero.

Less than zero.

Greater than zero.

Infinite

Choose an answer

Cu

H

N

O

Grignard's reagent was prepared in:

Choose an answer

1900

1910

1920

1930

Which is used as an antifreeze?

Choose an answer

Glycol

Ethyl alcohol

Water

Methanol

Grignad reagent is reactive due to

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The presence of halogen atom

The presence of Mg atom

The polarity of C - Mg bond

None of above

In the reaction K₂Cr₂O₇+ HCl + CrCl₃+ Cl₂+ H₂O the element which is reduced is

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K

Cl

Cr

H

The pH of 10^-3mole dm^-3of an aqueous solution of H₂SO₄is

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3.0

2.7

2.0

1.5

What is the most common catalyst used in hydrogenation of oils

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Cobalt

Nickel

Tungsten

Copper

The total number of d-bock transition element is

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10

14

40

30

A chemical inert and heat resistant plastic, that is made form tetrafluoroethlene, is called

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Teflon

PVC

Bakelite

Polyamide

Derivative of water is:

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Alcohals

Phenols

Either

Phenol

Most metals are conductors of electricity because of the :

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Light weight.

Immobility of the electrons.

Lustrous surfaces

Relatively free movement of their electrons

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Decrease in temperature favour more dissolution of the salt

Increase in temperature favour more dissolution of the salt

Lowering pressure favour more dissolution of the salt

Increasing pressure favour more dissolution of the salt

Formalin is an aqueous solution of

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Furfural

Fluorescein

Formaldehyde

Formic acid

Who one mole of each of the following is completely burned in oxygen, which gives the largest mass of carbon dioxide?

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Carbon monoxide

Diamond

Ethane

Methane

Which is not true about acetophenone?

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Reacts to form 2,4-dintrophenyl hydrazine

Reacts with Tollen's reagent to form silver mirror

Reacts with I₂/NaOH to form iodoform

On oxidation with alkaline KMnO₄followed by hydrolysis gives benzoic acid

Pressure volume work is

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The next homologue of C₁₀H₂₂will be

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C₉H₂₀

C₁₂H₂₆

C₁₁H₂₄

C₁₃H₂₈

Light emitted from a source has its wave length 500nm, then its wave number will be

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2 x 10⁶m^-1

2 x 10⁷m^-1

5 x 10⁸m^-1

5 x 10⁹m^-1

The electropositive elements from

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Acidic oxides

Basic oxides

Neutral oxides

None

Vinyl acetylene combines with HCI to form

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Poly acetylene

Benzene

Chloroprene

Divinylacetylene

The reaction rate is expressed in the units of

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mol dm^-3S^-

mol dm^-3

mol dm^-3N^-

dm^-3S^-

Choose an answer

Reversible reaction

Irreversible reaction

Spontaneous reaction

None of these

Quantum number value for 2p orbitals are:

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n=2 ,l=1

n=1 ,l=2

n= ,l=0

n=2 ,l=0

The nature of positive rays depend on:

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Nature of discharge tube.

Nature of resident gas.

Nature of electrode.

All of above.

When carbon dioxide is passed through the R - Mg - X is produced

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Any carboxylic acid

Propanoic acid

Propanedioic acid

None of these

Which one of the following statements of glucose and sucrose is incorrect?

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Both are soluble in water

Both are naturally occuring

Both are carbohydrates

Both are disaccharides

The cell which generates electricity as a result of spontaneous oxidation-reduction reaction is called

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Electrolytic cell

Nelson's cell

Galvanic cell

Down's cell

One of the environmental problem is the formation of oil slicks when oil is spilled from tankers in sea water. Which treatment is suitable to remove oil slicks

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Blow air

Add Na₂CO₃

Use a specially made sorbent having flouring trapped in it

Use a sorbent having Al₂O₃trapped in it

Which have better penetrating power

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Alpha rays

Beta rays

Gamma rays

X-rays

Bakelite is obtained from phenol by reacting with

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Acetaldehyde

Acetal

Formaldehyde

Chlorobenzene

N₂ + 3H₂ ⇌2NH₃

The unit of K_c for tis reaction will be:

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mol² dm^-6

mol^-2 dm⁺⁶

mol dm^-3

mol^-1 dm⁺³

Synthesis rubber is made by polymerization :

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Chloroform

Acetylene

Divinyl acetylene

Butene

Objects of the size of an atom can be observed in

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An electron microscope

An x-ray spectrum

Atomic absorption spectrum

A visible spectrum

Carboxylic acids having carboxyl group one is called:

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Mono carboxylic acid

Di-carboboxylic acid

Tri carboxilic acid

Tetra carboxylic acid

Analytical chemistry is the science of :

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Chemical Characterization.

Physical Characterization.

Biological Characterization.

Biochemical Characterization.

The solution of which acid is used for seasoning of food

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Formic acid

Acetic acid

Benzoic acid

Butanoic acid

Which of the following is obtained by condensation polymerization?

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Polyethene

Teflon

Phenol formaldehyde resin

Nitrile rubber

The open chain compounds are also called

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Aliphatic

Alicylic

Aromatic

Both a and b

As it passes into food chain, the concentration of DDT

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Remains same

Decreases

Increases

Unpredictable

Choose an answer

Neutrons are attracted by nucleus

Neutrons carry out nuclear reactions

Neutrons carry no charge

Neutrons are electromagnetic radiations

Plastics are a pollution problem because many plastics

Choose an answer

Are made from petroleum

Are very inflammable

Burn to produce toxic fumes

Decompose to produce toxic products

Surface and ground water sources are contaminated by various human activities. Which of the followings is not a human activity that causes contamination in fresh water

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Live stock waste

Oil leaks and spills

Disposal of industrial effluents

Rain

Ozone layer of stratosphere requires protection from indiscriminate use of

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Fungicides, insecticides, bactericides and medicines

Aerosols and high flying jets

Atomic explosions and industrial wastes

Baloons and turbo-prop aeroplanes

The organic compounds which derivative of hydrocarbons due to oxygen is:

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Phenol

Alcohol

Alkyl halide

Either

Hydrolysis of an ester gives a carboxylic acid which on Kolbe's electrolysis yields ethane. the easter is

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Ethyl methonoate

Methyl ethanoate

Propylamine

Ethylamine

Which of the following organic compounds exhibits positive Fehling test as well as iodoform test?

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Methanal

Ethanol

Propanone

Ethanal

Aromatic aldehydes undergo disproportionation in presence of sodium or potassium hydroxide to give corresponding alcohol and acid. The reaction is known as

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Wurtz reaction

Cannizzaro reaction

Friedel Craft reaction

Claisen reaction

Splitting of spectral lines when atoms are subjected to strong electron field is called

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Zeeman effect

Stark effect

Photoelectric effect

Compton effect

Factors affecting denaturation of proteins:

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Change in temp and pH

Strong reducing agent

Strong oxidizing agent

All of these

The temp. and pressure used for PVC polymerization is

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10°C and 10 atm

20°C and 20 atm

52°C and 9 atm

100°C and 10 atm

CO+ is an example of

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Stable molecule

Anionic molecule ion

Cationic molecular ion

Free radical

The reaction of 4-bromobenzyl chloride with NaCN in ethanol leads to

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4-Bromobenzyl cyanide

4-Cyanobenzyl chloride

4-Cyanobenzyle cyanide

4-Bromo 2-cyanobenzyl chloride

Which one of the following substances is a synthetic polyester

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Cotton

Nylon

Rayon

Terylene

Eka-aluminium and Eka-silicon are known as

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Gallium and Germanium

Aluminium and silicon

Iron and sulphur

Proton and silicon

When electricity is passed through molten electrolyte consisting of alumina and cryolite, 13.5 g of Al are deposited. The number of faradays of electricity passed must be

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2.0

1.5

1.0

0.5

In the electronic configuration of Cr one electron from 4s sub-shell is transfered to 3d sub-shell because

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The 3rd orbital is of lower energy than 4s

The 4s orbital is of equal energy to 3d orbital

The half filled d-subshell is more stable than incomplete d-sub shell

6 unpaired electrons make Cr more paramagnetic

On heating glycerol with conc. Sulphuric acid a compound with unpleasant odour is obtained. The compound is

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Methyl alcohol

Formic acid

Prop-2-enal

Glycerol sulphate

Which of the following oxides is unlikely to dissolve in aqueous hydroxide

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Al₂O₃

MgO

SO₂

SIO₂

Acetone reacts with HCN to form a cyanohydrin. It is an example of

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Electrophilic addition

Electrophilic substitution

Nucleophilic addition

Nucleophilic substitution

One mole of C₂H₅OH contains the number of H-atoms

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6.02 x 10²³

3.61 x 10²⁴

1.81 x 10²⁴

6.02 x 10²⁴

The formula of lime stone is

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CaCl₂

MgCO₃

Na₂CO₃

CaCO₃

Wohler synthesized first of all the organic compound:

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Carbohydrates

Urea

Aniline

Toluene

Chromium (VI) is highly toxic and can cause

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Blindness

Cancer

Liver problems

Blood problems

Acid rain is due to increase in atmospheric concentration of

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Ozone and dust

CO₂and CO

SO₃and CO

SO₂and NO₂

Curie is a unit of

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reluctance

resistivity

binding energy

radioactivity

The closed loop gain of the inverting amplifier is written as

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G = R₂/R₁

G = 1 + R₂/R₁

G = -R₂/R₁

G = 1 - R₂/R₁

When two waves with same frequency and constant phase difference phase difference interfere

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There is a gain of energy

There is a loss of energy

The energy is redistributed and the distribution changes with time

The energy is redistributed and the distribution remains constant with time

The pressure exerted by the gas is

Choose an answer

directly proportional to the P.E

inversely proportional to the P.E

inversely proportional to the K.E

directly proportional to the K.E

Electric potential of earth is taken to be zero because the earth is good

Choose an answer

Semiconductor

Conductor

Insulator

Dielectric

The waves produced in a microwave oven have frequency

Choose an answer

2450 Hz

2450 K Hz

2450 M Hz

2450 G Hz

Direction of motion_______ in circular of motion:

Choose an answer

Changes off and on

Changes continuously

Does not change

None of them

Current is measured in

Choose an answer

volts

watt

ohm

ampere

A cube of metal is given a positive charge Q. For the above system, which of the following statements is true?

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Electric potential at the surface of the cube is zero

Electric potential within the cube is zero

Electric filed is normal to the surface of the cube

Electric filed varies within the cube

When two protons are brought closer potential energy of both of them:

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Increases

Decreases

Remains same

None of these

In which process the condition for the application of Boyle's law on the gas is fulfilled

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isochoric process

adiabatic process

isothermal process

none of them

The special theory of relativity is based on the

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one postulate

two postulates

three postulates

four postulates

X-rays produced in a tube operating at 10⁵V. The speed of X-rays produced is

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3 x 10⁸m/s

3.1 x 10⁸m/s

2.8 x 10⁸m/s

1.88 x 10⁸m/s

A stone is dropped from rest from the top of a tower 19.6 m high. The distance traveled during the last second of its fall is (giving g=9.8 m/s^s)

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9.8 m

14.7 m

4.9 m

19.6 m

Density is defined as:

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Mass per volume

Volume per mass

Mass X volume

Mass per length

In the forward biases situation, the current flowing across the p-n junction is a few:

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amperes

Milli amperes

Micro amperes

Pico amperes

None of these

Beta particles are

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hydrogen nuclei

helium nuclei

electrons

photons

Work done is independent of path followed in _______

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Gravitational field

Magnetic field

Electric field

All of these

Which one of the following phenomenon cannot be explained on the bases of Huygen's theory

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Refraction

Reflection

Diffraction

Formation of spectrum

When angular acceleration is positive, the body rotates:

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Slower

Slowest

Faster

None of these

The principle of superposition states that

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The total displacement due to several waves is the sum of the displacement due to those waves acting individually

Two stationary waves superimpose to give two progressive waves

A diffraction pattern consists of many interference patterns superimposed on one another

Two progressive waves superimpose to give a stationary wave

The field in which work done in moving a body between two points depends upon the path followed is called:

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Conservative field

Non-conservative field

Electric field

None of these

Glass and high carbon steel are the examples of

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brittle substances

ductile substances

plastic substances

elastic substances

During the negative half-cycle of the half-wave rectification, the diode

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does not conduct

conducts

either of these

none of these

In the study of thermodynamics, which gas is considered as the working substance

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real gas

ideal gas

any gas may be ideal or real

none of them

When a constant potential difference is applied across the conductor, the drift velocity of electrons:

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Increases

Decreases

Remains the constant

Either of these

None of these

CRO deflects the beam of

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proton

a-particle

electron

neutron

During the upward motion of the projectile, the vertical component of velocity.

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Decreases

Increases

Remains constant

None of these

Deep water almost runs still when surface water flow in rivers. What does it explains

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Magnus effect

Equation of continuity

Surface energy

Bernoulli's equation

Associated with the motion of a driven harmonic oscillator, there is a very striking phenomenon, know as

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waves

beat

interference

resonance

Dimensions of velocity are

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[L]

[T]

[LT^-1]

[LT^-2]

Substances which break just after the elastic limit is reached, are known as

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brittle substances

ductile substances

plastic substances

elastic substances

Total number of base units are

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Three

Five

Seven

Nine

During the whole carnot cycle

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Thermal equilibrium is maintained

mechanical equilibrium is maintained

both the thermal and mechanical equilibriumis maintained

both the thermal and mechanical equilibrium is not maintained

One KWh is equal to:

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3.6 x 10²J

3.6 KJ

3,6 x 10¹KJ

3,6 MJ

Radium was discovered by:

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Becquerel

Marie curie

Pierre curie

Rutherford

Both (B) and (C)

When a falling body hits ground, its KE changes to _____ energy.

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Potential

Chemical

Mechanical

sound and heat

The relation between the charge Q of a parallel plate capacitor and the P.D between its plates is

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Q=V/C

Q=C/V

Q=1/2CV

Q=CV

Radioactivity

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is exhibited more by semiconductors in general

in exhibited more by the element when they are coupled

with other radioactive elements by a covalent bond

is an atomic property of radioactive elements

If an iron ball and a wooden ball of the same radius was released from a height 'h' in vacuum, then time taken by both of them to reach ground will be

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Unequal

Exactly equal

Roughly equal

Zero

SI unit of frequency is

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second

hertz

revolution

vibrations/sec

The first series which was identified in the spectrum of hydrogen is called:

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Lyman series

Balmer series

Paschen series

Brackett series

Pfund series

The rain drop falling from the sky reach the ground with

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Constant terminal velocity

Constant gravitational acceleration

Variable acceleration

acceleration greater than g

The value of relative permittivity of different dielectrics are:

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Equal

Different

Greater than one

Smaller than one

Both (B) and (C)

Charge on proton is

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1.59 x 10^-9C

1.59 x 10^-7C

-1.59 x 10^-19C

1.59 x 10^-19C

When a shall explodes a mid-air, the total momentum of its fragments is

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less than the momentum of shell

equal to the momentum of shell

greater than the momentum of shell

none of them

Rate of change of momentum is called

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Impulse

Force

Torque

Momentum

The neighbours of every molecule in crystalline solids are arranged in

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an irregular manner

a regular manner

any manner

none of them

The inkjet printer ejects a thin stream of:

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Water

Oil

Ink

Any of above

None of these

Significant figures in 0.0010 are

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Four

Three

Two

One

Fire fighters have jet attached to the head of their water pipes in order to

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Increase the mass of water flowing per second

Increase the velocity of water flowing out

Increase the volume of water flowing per second

Avoid wastage of water

While describing the motion of a simple pendulum, the frictional effects are

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taken into account

completely ignored

partially ignored

none of them

If a wave can be polarized, it must be

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An electromagnetic wave

A longitudinal wave

A progressive wave

A transverse wave

The loudness and pitch of a sound note depends on

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Intensity and velocity

Frequency and velocity

Intensity and frequency

Frequency and number of harmonic

What must be changing when a body is accelerating uniformly?

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the force acting on a body

the velocity of the body

the mass of the body

the speed of the body

The rate of change of momentum of a molecule is equal to:

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Pressure

Work

Density

Force

F = I(L x B) is a

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vector

scalar

unit vector

none of these

The branch of physics which concerned with the ultimate particles of which the universe is composed is known as

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SolidState physics

Particle Physics

Nuclear Physics

Atomic Physics

According to kinetic theory of gases, molecules of a gas behave like

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Inelastic spheres

Perfectly elastic rigid sphere

Perfectly elastic non-rigid spheres

Inelastic non-rigid spheres

Above a certain velocity of a fluid is called

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turbulent flow

steady flow

either of them

both of them

In bringing an electron towards another electron, electrostatic potential energy of system

Choose an answer

Decreases

Increases

Remains uncharged

Becomes zero

The chemical behaviour of an atom is determined by

Choose an answer

binding energy

atomic number

mass number

number of isotopes

A metal road of length 1m is moving at a speed of 1 ms^-1In a direction making angle of 30º with 0.5 Y magnetic field. The emf produced in the rod is:

Choose an answer

0.25 N

0.25 V

2.5 V

2.5 N

25 V

If yellow light emitted by sodium lamp in Young's double slit experiment is replaced by blue light of the same intensity

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Fringe width will decrease

Fringe width will increase

Fringe width will remain unchanged

Fringe will become less intense

Balmer series was identified in:

Choose an answer

1685

1785

1885

1985

1585

For maximum linear distance of travel, a projectile must be fired at an angle of

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0°

45°

90°

60°

When a body moves along a circular path with constant speed, it has an acceleration, which is always directed

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Along the tangent

Towards the centre

Away from the centre

None of them

A solar cell converts energy of the Sun into:

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Heat energy

Magnetic energy

Light energy

Sound energy

A projectile on its path gets divided into two pieces at its highest point. Which is true?

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Momentum increases

Momentum decreases

Kinetic energy increases

Kinetic energy decreases

The short distance between two points direction from its initial point to final point is called:

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Velocity

Displacement

Speed

Distance

The modulus of elasticity can be written as

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stress x strain

strain/stress

1/2 x stress x strain

stress/strain

A water hose with an internal diameter of 20 mm at the outlet discharges 30 kg of water in 60 s. What is water speed at the outlet if density of water is 1000 kg/m³during its steady flow

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1.3 m/s

1.6 m/s

1.9 m/s

2.2 m/s

In gases, the charge carries are:

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Electrons

Positive ions

Negative ions

Both (A) and (C)

Both (A) and (B)

When the shear stress and shear stain are involved, then their ratio is called

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Young's modulus

Bulk modulus

Shear modulus

all of them

The body oscillates due to _____ accelerates and overshoots the rest position due to______,:

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Applied force, inertial

Restoring force, friction

Frictional force, inertial

Restoring force, inertial

If we draw a graph between d (along x-axis) and F (along y-axis) and get a straight line horizontal to x-axis, then area under this straight line represents:

Choose an answer

Power

Work

Pressure

None of these

The number of countries who manage the largest satellite system is:

Choose an answer

3

24

126

200

At constant temperature, if the density of the gas is increased, its pressure will:

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One kg of a substance

Unit volume of a substance

One mole of a substance

None of these

Distance covered by a freely failing body n the first second of its motion will be:

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4.9 m

9.8 m

19.6 m

29.4 m

Pressure exerted by a gas on the walls of its container in due to

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adhesion between the gas molecules and the container

cohesion between the gas molecules and the container

collision between the gas molecules and the container

surface tension of the gas

Which of the following is an example of SHM(in ideal situations)

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Motion of simple pendulum

Motion of horizontal spring man system

Motion of violin string

All of these

A P-N juction or semiconductor diode cannot be used as

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A rectifier

Detector

Oscillator

An amplifier

Which one of the following Electro-magnetic wave have the highest frequency and shortest wave-length

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X-rays

Ultraviolet rays

y-rays

Cosmic rays

Eddy current is produced when:

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A metal is kept in varying magnetic field

A metal is kept in steady magnetic field

A circular coil is placed in a steady magnetic field

A current is passed through a circular coil

Experiments revealed that the ratio of the stress to the strain is a constant value for

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different material

all materials

a given material

all of them

If the instantaneous velocity of a body does not change. the body is said to be moving with

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average velocity

uniform velocity

instantaneous velocity

variable velocity

Bodies failing freely under gravity provide good example of motion under

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non-uniform acceleration

uniform acceleration

variable acceleration

increasing acceleration

The liquid which conduct current is known as

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heating effect

chemical energy

electrolyte

ohm's law

Electrons are

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positive charged

negatively charged

massless

neutral

Specific heat at constant pressure is greater than the specific heat at constant volume because

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Heat is used up to increase temperature at constant pressure

Heat is used by gas for expansions purposes at constant pressure

Heat is use dup to increase internal energy

The above statement is invalid

The transitions of electrons in the hydrogen atom result in the emission of spectral lies in the:

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Ultra red region

Visible region

Ultraviolet region

Any of these

None of these

A heater coil rated at (1000 W - 200 V) is connected to 110 volt line. What will be the power consumed?

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200 W

302.5

250 W

350 W

The smooth or steady streamline flow is known as

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laminar flow

turbulent flow

both of them

none of them

An alpha particle is accelerated through a potential difference of 10⁶volt. Its kinetic energy will be

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1 MeV

2 MeV

4 MeV

8 MeV

The valence band of an atom in a solid

Choose an answer

is always empty

may or may not be empty

can never be empty

none of them

A point charge A of charge +4μC and another B of charge -1μC are placed in air at a distance 1 m apart. Then the distance of the point on the line joining the charge B, where the resultant electric field is zero, is (in m)

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2

1

0.5

1.5

Which of the following changes at an antinode in a stationary wave?

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Density only

Pressure only

Both pressure and density

Neither pressure nor density

The whole shape of the black body spectrum for all wavelengths was explained by the formula proposed by

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Max plank

Newton

Einstein

J.J. Thomson

The word amorphous means:

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Without any structure

With definite structure

Regular arrangement of molecules

Both (B) and (C)

None of these

The reverse saturation current in a PN junction diode is only due to

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Majority carriers

Minority Carriers

Acceptor ions

Donor ions

In case of metallic conductors, the charge carriers are

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Protons

Electrons

Antiprotons

Positrons

Both A and B