According to first law of motion if some external force is
acting on a body then the velocity of object is constant.

• A) false
• B) true
• C)
• D)

The force field $\vec{F}=3x\hat{i}-2y\hat{\hat{j}}$ is

• A) conservative
• B) non conservative
• C)
• D)

The frequency $f$ of an oscillatory system is equal to

• A) $f=e^{-T}$
• B) $f=-\frac{1}{T}$
• C) $f=e^{T}$
• D) $f=\frac{1}{T}$

Find the time period $T$ of the vibrating mass with $m=10$ and $f=30$

• A) $T=\frac{1}{30}$
• B) $T=\frac{1}{3}$
• C)
• D)

Newton's first law is also called

• A) law of inertia
• B) law of conservation of momentum
• C)
• D)

The restoring force of a harmonic oscillator is proportional to ......

• A) displacement
• B) velocity
• C) acceleration
• D) time

If position of a vibrating mass at any time is defined as $y(t)=10sin(\frac{1}{3}t)$. Then the amplitude is

• A) $\frac{1}{3}$
• B) 10
• C)
• D)

Friction is a

• A) non conservative force
• B) conservative force
• C)
• D)

Find the time period $T$ of the vibrating mass with $m=5$ and $f=10$

• A) $T=\frac{1}{10}$
• B) $T=\frac{1}{2}$
• C)
• D)

A person is pushed forward into his seat belt when car stops. Which of Newton's laws explains this motion?

• A) Newton's third law of motion
• B) Newton's second law of motion
• C) None of these
• D) Newton's first law of motion

In general when a body rotates about fixed point, the angular velocity and the angular momentum vector about the fixed point are in the same direction.

• A) False
• B) True
• C)
• D)

Let 64kgms-2 be the rate of linear momentum of a particle moving with the acceleration 16ms-2 then mass of the particle would be _____kg.

• A) 28
• B) 4
• C) 14
• D) 8

If a system is isolated, then the total external torque (moment of force) remains constant in ______.

• A) direction
• B) number of particles of the system
• C) magnitude
• D) both magnitude and direction

Let P be any point on the ellipsoid of inertia and 0.25kgm2 be the moment of inertia about any line OP of the rigid body. The length of line OP will be _____m.

• A) 4
• B) 5
• C) 1
• D) 2

Let 1.2kg be the mass and 3m be the length of a thin solid rod. Its moment of inertia about the axis perpendicular to the rod through the center of mass will be ____kgm2.

• A) 3.6
• B) 2.7
• C) 5.4
• D) 1.8

If no external force is acting on the system of two colliding bodies, then by the principle of conservation of linear momentum which of the following statement is correct?

• A) Total momentum before the collision is less than the total momentum after the collision.
• B) Total momentum before the collision is greater than the total momentum after the collision.
• C) Total momentum before the collision is equal to the total momentum after the collision.
• D) Total momentum before the collision is reciprocal of the total momentum after the collision.

Let 5kg be the mass and 0.1m be the radius of a solid sphere. Its moment of inertia about the diameter will be ____kgm2.

• A) 0.01
• B) 0.10
• C) 0.05
• D) 0.02

A solid metal sphere having the moment of inertia of 0.44kgm2 is rotating with an angular speed of 2 rad/s.Its rotational kinetic energy would be _____ J.

• A) 0.66
• B) 0.76
• C) 0.48
• D) 0.88

A solid metal sphere having the moment of inertia of 0.03kgm2 is rotating with an angular speed of 13.8 rad/s. Its angular momentum would be _____kgm2s-1.

• A) 0.440
• B) 0.414
• C) 0.204
• D) 0.354

$${\text{Let}}\,\vec r = 2\hat i\,{\text{be}}\,{\text{the}}\,{\text{position vector of a particle and}}\,\,\vec p = 3\hat i\,{\text{be its momentum}}\,{\text{then}}\,{\text{the magnitude of angular momentum }}\vec L{\text{ of the particle will be - - - - - }}{\text{.}}$$

• A) 1
• B) 6
• C) 0
• D) 5