JEE PHYSICS UNIT 5
QUIZ NO 2
TOTAL QUESTIONS = 20
1. A disc is rotating with angular velocity ω. If a constant torque is applied, its angular velocity after time t will be
A. ω + αt
B. ω - αt
C. ωt
D. ω + 2αt
2. A solid sphere of mass M and radius R rolls without slipping. The ratio of its rotational kinetic energy to its total kinetic energy is
A. 1/2
B. 2/5
C. 2/7
D. 5/7
3. A body of moment of inertia I is rotating with angular velocity ω. Its rotational kinetic energy is
A. 1/2 Iω
B. 1/2 Iω^2
C. Iω
D. Iω^2
4. A thin uniform rod of length L and mass M is rotating about an axis passing through its end and perpendicular to its length. The moment of inertia of the rod is
A. 1/3 ML^2
B. 1/4 ML^2
C. 1/12 ML^2
D. 1/2 ML^2
5. The angular velocity of a flywheel increases from 60 rad/s to 120 rad/s in 10 seconds. The angular acceleration is
A. 6 rad/s²
B. 10 rad/s²
C. 12 rad/s²
D. 8 rad/s²
6. A circular disc is rotating with an angular velocity of 10 rad/s. If a torque acts on it such that it comes to rest in 5 seconds, the angular retardation is
A. 10 rad/s²
B. 2 rad/s²
C. 5 rad/s²
D. 15 rad/s²
7. The moment of inertia of a solid cylinder about its own axis is given by
A. 1/2 MR²
B. 1/4 MR²
C. MR²
D. 2/5 MR²
8. A wheel is rotating at 900 rpm. Its angular velocity in rad/s is approximately
A. 94.25
B. 94.2
C. 94
D. 94.3
9. A uniform disc of radius R is rolling without slipping on a horizontal surface. The ratio of its rotational kinetic energy to its total kinetic energy is
A. 1/3
B. 1/2
C. 2/3
D. 1/4
10. The torque required to rotate a body is directly proportional to
A. Angular velocity
B. Angular displacement
C. Moment of inertia
D. Angular acceleration
11. A solid sphere rolls down an inclined plane without slipping. The ratio of translational to rotational kinetic energy is
A. 5:2
B. 2:5
C. 7:2
D. 2:7
12. If the angular momentum of a system is conserved, which of the following remains constant?
A. Torque
B. Angular velocity
C. Moment of inertia
D. No external torque
13. A particle is moving in a circle with constant angular speed. The angular acceleration is
A. Zero
B. Constant
C. Variable
D. None of these
14. The angular momentum of a system is given by
A. Iω
B. mvr
C. Iα
D. Both Iω and mvr
15. A rigid body is free to rotate about an axis. A torque of 10 Nm produces an angular acceleration of 5 rad/s². The moment of inertia of the body is
A. 1 kg·m²
B. 2 kg·m²
C. 0.5 kg·m²
D. 5 kg·m²
16. A thin circular ring of mass M and radius R is rotating about its diameter. The moment of inertia is
A. 1/2 MR²
B. 1/4 MR²
C. MR²
D. 1/8 MR²
17. If the moment of inertia of a body about an axis is increased, its angular velocity will
A. Increase
B. Decrease
C. Remain the same
D. None of these
18. A sphere and a cylinder of the same mass and radius roll down an inclined plane. Which reaches the bottom first?
A. Sphere
B. Cylinder
C. Both simultaneously
D. Depends on incline angle
19. A thin rod of length L is pivoted at one end. Its time period of oscillation for small angular displacement is
A. 2π√(L/g)
B. π√(L/2g)
C. 2π√(2L/3g)
D. None of these
20. The angular acceleration of a body is proportional to
A. Torque
B. Moment of inertia
C. Mass
D. Radius
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