Question # 1

The half life of a radio-isotope is 5 years The fraction of atoms decayed in this substance after 15 years will be

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1

3/4

7/8

5/8

The velocity v of a particle at time t is given by:

v = at + b / t + c

The dimensional formula of a,b and c care respectively:

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L² ; T and LT²

LT² ; LT and L

LT^-2; L and T

L;LT and T^-2

Two point charge +3μC and +8μC repel each other with a force of 40 N. if a charge of -5μC is added to each of them then the force between will become

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-10N

+10N

+20N

-20N

When boron is added as an impurity to silicon the resulting material is

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n type conductor

n type semiconductor

p-type conductor

p-type semiconductor

The direction of induced current is such that it opposes the very cause that has produced it This is the law of

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Lenz

Faraday

Kirchoff

Fleming

In a capacitive circuit

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Current leads voltage by phase of π/2

Voltage leads current by phase of π/2

Current and voltage are in same phase

Sometime current and sometime voltage leads

Two bodies of masses m₁ and m₂ have equal momentum their kinetic energies E₁ and E₂ are in the ratio

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√m₁ : √m₂

m₁: m₂

m₂: m₁

m₁² : m₂²

Electrons in the atom are held in the atom due to

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Coulomb forces

Nuclear forces

Gravitational forces

Van der Waal's forces

A cable breaks if stretched by more than 2 mm it is cut into two equal parts how much either part can be stretched without breaking?

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0.25 m

0.5 m

1 mm

2 mm

A capacitor acts as an infinite resistance for

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AC

DC

Both AC and DC

The average binding energy of a nucleon inside an atomic nucleus is about

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8 MeV

8 eV

8 Joules

8 ergs

A body moving in circular motion with constant speed has

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Constant velocity

Constant acceleration

Constant kinetic energy

Constant displacement

A man pushes a wall but fails to displace it. He does:

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Negative work

Maximum positive work

Positive work but not maximum

No work

The mass of a proton is 1847 times that of an electron. An electron and a proton are projected into a uniform electric field in a direction at right angles to the direction of the field with the same initial kinetic energy.The

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Both the trajectories will be equally curved

The proton trajectory will be less curved than the electron trajectory

The electron trajectory will be less curved than the proton trajectory

The relative curving of the trajectories will be dependent on the value of the initial kinetic energy

A wire is stretched to double of its length. The strain is

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2

1

zero

0.5

What will be the duration of the day and night (in hour) if the diameter of the earth is suddenly reduced to half its original value, the mass remaining constant?

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12

6

3

2

Blood has a density

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Equal to water

Greater then water

Lesser then water

None of these

A planet is observed by an astronomical refracting telescope having an objective of focal length 16 m and an eyepiece of focal length 2 cm.

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The distance between the objective and the eyepiece is 8 m

The angular magnification of the planet is 200

The image of the planet is inverted

The objective is smaller than the eyepiece

When light wavelength 300 nm (nanometer) falls on a photoelectric emitter, photoelectrons are liberated. For another emitter, however, light of 600 nm wavelength is sufficient for creating photoemission. What is the ratio of the work functions of the two emitters?

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1 : 2

2 : 1

4 : 1

1 : 4

Surface tension of water is due to

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Inter molecular attractions

Intermolecular spaces

Inter molecular repulsion

None of above

A sun rise or sun set, the sun looks reddish because:

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The sun is coldest at these times

Of the effects of reflection and refraction

The sun is hottest at these times

Of the scattering of light

The nucleus 6C12 absorbs an energetic neutron and emits a beta particle (β). The resulting nucleus is

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₇N¹⁴

₅B¹³

₇N¹³

₆C¹³

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