Chapter 4: Rotational Motion & Gravitation (Set-2)

Angular momentum of a rigid body rotating with angular velocity ω is:

A L = mv
B L = Iω
C L = rF
D L = ω/r

Torque is maximum when angle between force and lever arm is:

A
B 30°
C 90°
D 180°

Precession of spinning tops occurs due to:

A Weight
B Angular velocity
C Torque due to gravity
D Linear momentum

If angular momentum increases, torque must be:

A Zero
B Negative
C Non-zero
D Constant

Angular momentum of a planet around Sun is conserved because:

A Sun exerts constant force
B Gravity is central force
C Distance never changes
D Velocity is constant

Units of angular momentum:

A N
B J
C kg·m²/s
D m/s²

When a ballet dancer folds arms inward, rotation:

A Slows down
B Speeds up
C Stops
D Remains same

Angular momentum is a:

A Scalar
B Vector
C Tensor
D Dimensional constant

A rigid body rotates faster when:

A MoI increases
B MoI decreases
C Mass increases
D Force decreases

A rolling ball has:

A Only rotational KE
B Only translational KE
C Sum of rotational + translational KE
D Zero KE

MoI of a rod about one end is:

A 1/12 ML²
B 1/2 ML²
C ML²
D 1/3 ML²

For same mass, which shape has smallest MoI?

A Ring
B Disc
C Solid sphere
D Hollow sphere

MoI depends on:

A Speed
B Radius distribution
C Temperature
D Time

A thin rod spins faster when rotated about:

A End
B Centre
C Any point
D It never spins

The rotational kinetic energy formula uses:

A Mass only
B Radius only
C Moment of inertia
D Torque

Radius of gyration is defined as:

A √(I/M)
B I/M
C M/I
D I²/M

If all mass is concentrated at axis, MoI =

A Zero
B Infinite
C Maximum
D Negative

Greater MoI means body:

A Rotates faster
B Rotates slower
C Cannot move
D Has zero energy

Using parallel axis theorem helps compute MoI about:

A Only centre
B Any axis parallel to COM axis
C Only rotational axis
D Only fixed axis

MoI of uniform disc about its diameter is:

A 1/2 MR²
B 1/4 MR²
C 3/4 MR²
D 2/3 MR²

A body in rotational equilibrium has:

A Zero force
B Zero torque
C Zero mass
D Zero velocity

Angular acceleration is proportional to:

A Torque
B Mass
C Height
D Area

If MoI increases while torque constant, angular acceleration:

A Increases
B Decreases
C Remains same
D Becomes negative

A wheel speeds up when:

A MoI increases
B Torque applied
C Gravity increases
D Mass constant

Rotational work done is:

A Fd
B τθ
C mv²
D

Rotational power is:

A τ+ω
B τ/ω
C τω
D I/α

A disc and ring roll down incline. Which reaches first?

A Disc
B Ring
C Both same
D Neither

In rolling motion, point of contact has:

A Maximum speed
B Zero speed
C Constant speed
D Infinite speed

Angular velocity is related to linear velocity by:

A v = ω/r
B v = rω
C v = r/ω
D v = ω²r

A torque always produces:

A Linear motion
B Circular motion
C Angular acceleration
D Increase in mass

In central force motion, torque about centre is:

A Maximum
B Minimum
C Zero
D Infinite

Non-central forces cause:

A No change in angular momentum
B Change in angular momentum
C No motion
D Zero work

Planetary motion is planar because:

A Mass is constant
B Forces are central
C Speed uniform
D Orbit is circular

A central force depends only on:

A Position
B Time
C Path taken
D Temperature

Non-central force example:

A Gravity
B Electric attraction
C Magnetic force on moving charge
D Gravitational field of Earth

Gravitational force varies as:

A r
B 1/r
C 1/r²
D

If distance increases by 3 times, gravity becomes:

A 1/3
B 1/6
C 1/9
D 1/27

Formula for gravitational force:

A GMm/r²
B GMm/r
C GMm/r³
D GM/mr²

G is a:

A Constant varying with mass
B Universal constant
C Constant of Earth only
D Temperature-dependent constant

Value of G experimentally found by:

A Young
B Cavendish
C Newton
D Kepler

Weight of object on Moon is:

A Same as Earth
B Greater than Earth
C One-sixth of Earth
D Double Earth

A satellite stays in orbit due to:

A No gravity
B Balance of gravitational & centrifugal effect
C Zero mass
D Zero velocity

Escape velocity varies with:

A Body’s mass
B Earth’s mass & radius
C Shape of body
D Temperature

Gravitational potential energy is maximum at:

A Surface
B Pole
C Centre
D Infinity

Value of g at centre of Earth is:

A g
B Infinite
C Zero
D Maximum

Orbital speed is independent of:

A Mass of satellite
B Radius of orbit
C Mass of planet
D G

Total energy of satellite in orbit is:

A Positive
B Zero
C Negative
D Infinite

Kepler’s second law states:

A T² ∝ r³
B Planets move fastest at perihelion
C Orbit is circular
D Mass independent

Gravitational force is always:

A Repulsive
B Attractive
C Zero
D Variable but repulsive

Work done by gravity in lifting object is:

A Positive
B Negative
C Zero
D Cannot be determined