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A mass of 0.5 kg moving with a speed of $1.5 m s^{- 1}$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k = 50 N m^{- 1}$ . The maximum compression of the spring would be

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Important Questions on Physical World

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Physics>Mechanics>Physical World>Nature of Physical Laws

Match the columns I and II

	Column I		Column II
A	Stoke's law	I	Pressure and energy
B	Turbulence	II	Hydraulic lift
C	Bernoulli's Principle	III	Viscous drag
D	Pascal's law	IV	Reynold's number

The correct match is

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

Which of the following statement is incorrect?

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

The ratio

(\frac{E}{W})

of relative strength of electromagnetic force

(E)

to weak nuclear force

(W)

is,

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

Which of the following interactions is the weakest?

HARD

Physics>Mechanics>Physical World>Nature of Physical Laws

A train is moving slowly at

2 m / s

next to a railway platform. A man,

1.5 m

tall, alights from the train such that his feet are fixed on the ground. Taking him to be a rigid body, the instantaneous angular velocity (in

rad / s

) is

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

Choose the correct statement from following.

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

Which of the following is a possible final step in applying the scientific method?

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

A particle is moving uniformly along a straight line as shown in the figure. During the motion of the particle from $A$ to $B$ , the angular momentum of the particle about ${}^{'}O^{'}$

Question Image

MEDIUM

Physics>Mechanics>Physical World>Nature of Physical Laws

A shell of mass

20 g

is fired by a gun of mass

100 kg .

If the shell leaves the gun with a speed of

800 m / s,

the speed of recoil of the gun is

HARD

Physics>Mechanics>Physical World>Nature of Physical Laws

The maximum and minimum distances of a comet from the sun are

1.4 \times 10^{12} m

and

7 \times 10^{10}

m .

If it's velocity nearest to the sun is

6 \times 10^{14} m / s,

what is its velocity in the farthest position? (Assume the comet to be spherical)

MEDIUM

Physics>Mechanics>Physical World>Nature of Physical Laws

A gas molecule of mass

M

at the surface of the earth has kinetic energy equivalent to

0 ° C

. If it were to go up straight without colliding with any other molecules, how high would it rise? Assume that the height attained is much less than the radius of the earth. (

k_{B}

is Boltzmann constant)

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

Let

G, W, S

and

E

be relative strengths of gravitational, weak nuclear, strong nuclear and electromagnetic forces. Identify the correct option

HARD

Physics>Mechanics>Physical World>Nature of Physical Laws

Three point masses each of mass

m

are kept at the corners of an equilateral triangle of side

L

. The system rotates about the center of the triangle without any change in the separation of masses during rotation. The period of rotation is directly proportional to

(\cos 30 ° = s i n 60 ° = \frac{\sqrt{3}}{2})

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

(A) Ratio of the relative strength of gravitational to weak force is nearly $10^{- 3}$
(B) Ratio of the relative strength of gravitational to weak force is less than $10^{- 3}$
(C) Ratio of the relative strength of strong nuclear to electromagnetic force is nearly $10^{2}$
(D) Ratio of the relative strength of strong nuclear to electromagnetic force is nearly $10^{- 2}$ .

Which of the following is true?

HARD

Physics>Mechanics>Physical World>Nature of Physical Laws

A uniformly thick wheel with moment of inertia

I

and radius

R

is free to rotate about its centre of mass (see fig). A massless string is wrapped over its rim and two blocks of masses

m_{1}

and

m_{2} (m_{1} > m_{2})

are attached to the ends of the string. The system is released from rest. The angular speed of the wheel when

m_{1}

descends by a distance

h

is:

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

A force acts on a

2 kg

object so that its position is given as a function of time as

x = 3 t^{2} + 5 .

What is the work done by this force in first

5

seconds?

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

A particle which is experiencing a force, given by

\vec{F} = 3 \hat{i} - 12 \hat{j}

, undergoes a displacement of

\vec{d} = 4 \hat{i}

. If the particle had a kinetic energy of

3 J

at the beginning of the displacement, what is its kinetic energy at the end of the displacement?

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

Which of the following forces have highest range?
(a) Gravitational force
(b) Weak Nuclear force
(c) Electromagnetic force
(d) Strong Nuclear force

HARD

Physics>Mechanics>Physical World>Nature of Physical Laws

In a particle accelerator, a current of

500 μ A

is carried by a proton beam in which each proton has a speed of

3 \times 10^{7} m / s

. The cross-sectional area of the beam is

1.50 m m^{2} .

The charge density in this beam (in

C / m^{3})

is close to

EASY

Physics>Mechanics>Physical World>Nature of Physical Laws

Which of the following represents fundamental forces of nature?

A mass of 0.5 kg moving with a speed of 1.5 m s-1 on a horizontal smooth surface, collides with a nearly weightless spring of force constant k=50 N m-1. The maximum compression of the spring would be

Important Questions on Physical World

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A mass of 0.5 kg moving with a speed of $1.5 m s^{- 1}$ on a horizontal smooth surface, collides with a nearly weightless spring of force constant $k = 50 N m^{- 1}$ . The maximum compression of the spring would be