Rotational Dynamics MCQs with Answers Pdf Download
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Rotational Dynamics MCQs with Answers Class 12:
Preparing for MHT-CET, NEET, or Class 12 Physics? Conquer rotational dynamics MCQs with our free chapter-wise MCQs PDF – designed for Maharashtra Board, CBSE, and competitive exam success! This resource packs 25+ rotational motion questions and answers covering torque, moment of inertia, angular momentum, and rolling motion.
Each rotational dynamics MCQ includes step-by-step solutions for complex problems like parallel axis theorem, conservation of angular momentum, and pure rolling acceleration. Specifically curated for MHT-CET aspirants, our PDF features previous years’ MHT-CET rotational motion questions (2019-2025) with NTA-style answer keys. Class 11 students gain foundational practice on kinematics of rotation, while Class 12/JEE learners tackle advanced problems on gyroscopes and rotational work-energy theorem. Optimized for quick revision, this downloadable PDF includes:
1) The moment of inertia of a body does not depend upon the
(a) mass of the body
(b) position of the axis of rotation
(c) distribution of the mass
(d) the angular acceleration of the body
Answer: d
Explanation: Moment of inertia is a property of mass distribution with respect to the axis of rotation. It depends on the mass, shape, and the axis but not on the angular acceleration.
Read: Class 11 Physics MCQ Chapter Wise
2) The SI unit of moment of inertia is
(a) gram-cm²
(b) kg-m²
(c) kg/m²
(d) kg-m
Answer: b
Explanation: Moment of inertia is mass × distance², hence its SI unit is kg·m².
Read: MCQ of Physics Class 12 Chapter Wise with Answers Pdf
3) The dimensional formula for the moment of inertia of a body is
(a) L⁰M¹T⁻²
(b) L²M¹T⁰
(c) L¹M¹T⁻¹
(d) L⁰M²T⁻¹
Answer: b
Explanation: Moment of inertia = mass × (length)², so dimensional formula = [M][L²] = L²M¹T⁰.
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4) The dimensional formula for the radius of gyration of a body is
(a) L⁰M⁰T⁰
(b) L¹M⁰T⁰
(c) L¹M¹T⁰
(d) L⁰M²T⁻¹
Answer: b
Explanation: Radius of gyration is a length, so its dimensional formula is [L¹].
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5) The SI unit of torque is
(a) N/m
(b) Nm²
(c) N-m
(d) N²m
Answer: c
Explanation: Torque = force × distance. SI unit of force is N, and distance is m. So unit = N·m.
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6) Which is the axial vector from the following?
(a) Linear Momentum
(b) Torque
(c) Velocity
(d) Acceleration
Answer: b
Explanation: Torque is an axial vector because it results from the cross product of two polar vectors (r × F).
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7) The rotational analogue of force is
(a) Moment of Inertia
(b) Angular Momentum
(c) Torque
(d) Angular Acceleration
Answer: c
Explanation: In rotational motion, torque plays the same role as force in linear motion.
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8) The physical quantity in translational motion, which is analogous to torque in rotational motion is
(a) Mass
(b) Linear Momentum
(c) Force
(d) Work
Answer: c
Explanation: Torque causes angular acceleration just like force causes linear acceleration.
Read: Distance and Displacement MCQ
9) Torque per unit moment of inertia is
(a) Radius of gyration
(b) Angular velocity
(c) Angular displacement
(d) Angular acceleration
Answer: d
Explanation: Torque = I × α. So, torque per unit moment of inertia = α (angular acceleration).
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10) The physical quantity in translational motion, which is analogous to the moment of inertia in rotational motion is
(a) Velocity
(b) Force
(c) Energy
(d) Mass
Answer: d
Explanation: Moment of inertia in rotational motion is equivalent to mass in linear motion.
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11) Moment of inertia depends upon
(a) position of the axis of rotation
(b) distribution of particles
(c) mass
(d) all of these
Answer: d
Explanation: Moment of inertia depends on the mass, its distribution, and the location of the axis.
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12) If all the ice on the polar caps of the earth melts, due to global warming then the day will be
(a) 24 hours
(b) more than 24 hours
(c) less than 24 hours
(d) 12 hours
Answer: b
Explanation: Melting of polar ice increases the Earth’s moment of inertia, so rotational speed decreases, increasing the length of the day.
13) Which of the following types of circular bodies, Same mass and radius will have the largest moment of inertia?
(a) Solid disc
(b) Cylindrical disc
(c) Ring
(d) Annular disc
Answer: c
Explanation: The ring has all its mass at the maximum distance from the axis, giving it the highest moment of inertia.
14) A flywheel rotating about a fixed axis has a kinetic energy of 225 J when its angular speed is 30 rad/s. What is the moment of inertia of the flywheel about its axis of rotation?
(a) 0.5 kg m²
(b) 0.6 kg m²
(c) 0.8 kg m²
(d) 0.3 kg m²
Answer: a
Explanation: KE = ½ Iω² → 225 = ½ × I × (30)² → I = 0.5 kg·m².
15) The mass of a flywheel is concentrated near its rim. This is done to
(a) decrease its moment of inertia
(b) increase its moment of inertia
(c) increase the strength of the flywheel
(d) increase its linear momentum
Answer: b
Explanation: Placing mass at a larger radius increases the moment of inertia and energy storage capacity.
16) A wheel of mass 4 kg and radius of gyration 0.4 m is making 300 r.p.m. Its moment of inertia is
(a) 6.4 kg m²
(b) 0.64 kg m²
(c) 0.32 kg m²
(d) 64 kg m²
Answer: b
Explanation: I = m × k² = 4 × (0.4)² = 0.64 kg·m².
17) Two circular rings A and B of radii nR and R are made from the same wire. The M.I. of A about an axis passing through the center and perpendicular to the plane of A is 27 times that of the smaller loop B. What is the value of n?
(a) 2
(b) 3
(c) 4
(d) 5
Answer: b
Explanation: Moment of inertia ∝ R² → n² = 27 → n = 3.
18) When the speed of a flywheel is increased from 240 r.p.m. to 360 r.p.m., the energy spent is 484 J. What is the moment of inertia of the flywheel?
(a) 4.9 kg-m²
(b) 9.8 kg-m²
(c) 2 kg-m²
(d) 15 kg-m²
Answer: a
Explanation: ΔE = ½I(ω₂² – ω₁²), convert rpm to rad/s and solve to get I = 4.9 kg·m².
19) A torque of 100 N-m acting on a wheel at rest, rotates it through 200 radians in 10s. What is the moment of inertia of the wheel?
(a) 10 kg-m²
(b) 15 kg-m²
(c) 20 kg-m²
(d) 25 kg-m²
Answer: d
Explanation: Work = Torque × θ = 100 × 200 = 20000 J = ½ Iω². Using ω = θ/t = 20, solve for I = 25 kg·m².
20) If the external torque acting on a body is zero, then it’s
(a) angular momentum is zero
(b) angular momentum is conserved
(c) angular momentum is the maximum
(d) angular acceleration is the maximum
Answer: b
Explanation: In absence of external torque, angular momentum remains conserved.
21) When the external torque acting on a system is zero, then there will be a conservation of
(a) total energy
(b) angular momentum
(c) linear momentum
(d) mass
Answer: b
Explanation: Angular momentum is conserved when no external torque is applied.
22) When a torque acting on a system is increased, then which one of the following quantities will increase?
(a) linear momentum
(b) Angular momentum
(c) force
(d) Displacement
Answer: b
Explanation: Torque causes change in angular momentum. Higher torque → more change in angular momentum.
23) The moment of inertia of a copper disc, rotating about an axis passing through its center and perpendicular to its plane
(a) increases if its temperature is increased
(b) changes in its axis of rotation are changed
(c) increases if its angular velocity is increased
(d) both (a) and (b) are correct
Answer: d
Explanation: (a) Thermal expansion increases radius → I increases. (b) I depends on axis, so it changes if axis changes.
24) When a steady torque acts on a body, the body
(a) rotates at a constant speed
(b) continues in its state of rest or of uniform motion along a straight line
(c) gets a linear acceleration
(d) gets an angular acceleration
Answer: d
Explanation: Constant torque produces constant angular acceleration (Newton’s second law for rotation).
25) The moment of inertia of a body is considered only in the case of
(a) Rectilinear motion
(b) Rotational motion
(c) Curvilinear motion
(d) Translational motion
Answer: b
Explanation: Moment of inertia is a rotational analogue of mass and applies only to rotational motion.
26) When the external torque acting on a rotating body is zero, the quantity that will remain constant is the
(a) linear momentum
(b) angular momentum
(c) force
(d) linear displacement
Answer: b
Explanation: Angular momentum remains unchanged in absence of external torque.
27) Which is the wrong relation from the following?
(a) Force = Mass x Acceleration
(b) Torque = Moment of Inertia x Angular Acceleration
(c) Moment of Inertia = Torque x Angular Acceleration
(d) Angular Momentum = Moment of Inertia x Angular Velocity
Answer: c
Explanation: Correct formula is Torque = I × α, not I = Torque × α.
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