50 Higher-Order Thinking Skills (HOTS) MCQs (Level 3) on Rotational and Circular Motion, Physics (Unit-Wise MCQs Practice):
Whether you are preparing for Board Exams, school tests, college assessments, university exams, ECAT, MDCAT, NTS, PIEAS, GIKI, or other competitive examinations, this comprehensive Rotational & Circular Motion MCQs Collection is designed to strengthen your conceptual understanding and problem-solving skills.
This chapter covers all the essential topics, including angular displacement, angular velocity, angular acceleration, rotational kinematics, circular motion, centripetal force, torque, couple, moment of inertia, angular momentum, conservation of angular momentum, rolling motion, banking of roads, satellite motion, orbital velocity, escape velocity, rotational kinetic energy, and real-life applications.
The MCQs are organized into four progressive sections:
- 100 Basic Conceptual MCQs – Build a strong foundation with essential concepts, laws, definitions, and formulas.
- 100 Advanced & Numerical MCQs – Improve calculation, analytical, and application-based problem-solving skills.
- 50 Higher-Order Thinking Skills (HOTS) MCQs – Challenge yourself with conceptual reasoning, real-life applications, and competitive exam-level questions.
- 50 Challenging MCQs Quiz with Answers (1–50) – A carefully selected mix of conceptual, numerical, and HOTS questions for quick revision and self-assessment.
Every MCQ Includes:
✔ Four carefully designed answer options
✔ Instant correct answer
✔ Detailed concept-based explanation
✔ Exam-focused learning approach
This collection is ideal for Board Exams, FBISE, ECAT, MDCAT, NTS, PIEAS, GIKI, UET, FAST, NUST, and other competitive entrance examinations. By practicing these 250 MCQs and the Top 50 Challenging Quiz, you will improve your conceptual clarity, numerical ability, logical reasoning, and confidence in solving objective-type Physics questions.
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Rotational and Circular Motion NCQs (Level 3) – 50 Higher-Order Thinking Skills (HOTS) MCQs (201–250)
MCQ No. 201
Two discs have the same mass, but one has twice the radius of the other. If both rotate with the same angular velocity, which disc possesses greater angular momentum?
a. Smaller disc
b. Larger disc
c. Both have the same angular momentum
d. Cannot be determined
Correct Answer: b. Larger disc
Explanation:
For a solid disc, . Since angular momentum , doubling the radius increases the moment of inertia by a factor of four. Therefore, the larger disc has four times the angular momentum.
MCQ No. 202
A car moves around a circular track at constant speed. Which statement is correct?
a. No force acts on the car.
b. No acceleration acts on the car.
c. The car accelerates because its direction of motion changes continuously.
d. The car accelerates because its speed increases.
Correct Answer: c. The car accelerates because its direction of motion changes continuously.
Explanation:
Acceleration is the rate of change of velocity. Even when speed is constant, continuous change in the direction of velocity produces centripetal acceleration.
MCQ No. 203
A student says, "An astronaut is weightless because there is no gravity in space." Which statement is correct?
a. The student is correct.
b. Gravity disappears outside the atmosphere.
c. Astronauts are weightless because both they and the spacecraft are in continuous free fall.
d. Weightlessness occurs because astronauts have no mass.
Correct Answer: c. Astronauts are weightless because both they and the spacecraft are in continuous free fall.
Explanation:
Gravity still acts strongly on satellites. Weightlessness is experienced because everything inside the spacecraft falls together.
MCQ No. 204
A cyclist negotiates a sharp turn without reducing speed. What is the greatest risk?
a. Falling inward
b. Falling backward
c. Skidding outward due to insufficient centripetal force
d. Losing weight
Correct Answer: c. Skidding outward due to insufficient centripetal force
Explanation:
If friction cannot provide the required centripetal force, the cyclist moves outward relative to the curved path.
MCQ No. 205
A figure skater pulls in her arms while spinning. Which pair of quantities changes?
a. Moment of inertia decreases, angular velocity increases.
b. Moment of inertia increases, angular velocity decreases.
c. Both remain constant.
d. Both increase.
Correct Answer: a. Moment of inertia decreases, angular velocity increases.
Explanation:
Since no external torque acts, angular momentum remains constant. Therefore, reducing moment of inertia increases angular velocity.
MCQ No. 206
Two particles rotate with the same angular velocity. One particle is twice as far from the axis as the other. Which statement is correct?
a. Both have the same linear speed.
b. The farther particle has twice the linear speed.
c. The nearer particle has twice the linear speed.
d. Linear speed is independent of radius.
Correct Answer: b. The farther particle has twice the linear speed.
Explanation:
Linear speed is given by . Doubling the radius doubles the linear speed.
MCQ No. 207
A force acts through the axis of rotation of a wheel. What will happen?
a. Maximum torque is produced.
b. Zero torque is produced.
c. Torque depends on mass.
d. Infinite torque is produced.
Correct Answer: b. Zero torque is produced.
Explanation:
Since the perpendicular distance from the axis is zero, the torque is zero regardless of the magnitude of the force.
MCQ No. 208
A satellite suddenly loses all engine power while orbiting Earth. Assuming no atmospheric resistance, it will:
a. Fall straight toward Earth.
b. Move away into space.
c. Continue in nearly the same orbit.
d. Stop immediately.
Correct Answer: c. Continue in nearly the same orbit.
Explanation:
Once in orbit, a satellite does not require continuous engine thrust. Gravity alone maintains its orbital motion.
MCQ No. 209
Why are door handles placed far from the hinges?
a. To increase friction.
b. To increase torque for the same applied force.
c. To reduce the door's weight.
d. To reduce the force of gravity.
Correct Answer: b. To increase torque for the same applied force.
Explanation:
Torque equals force multiplied by the perpendicular distance from the axis. A larger distance produces greater torque.
MCQ No. 210
A child and an adult sit on opposite sides of a seesaw. The adult sits closer to the pivot. Why?
a. To reduce gravity.
b. To balance the torques.
c. To increase friction.
d. To increase momentum.
Correct Answer: b. To balance the torques.
Explanation:
For equilibrium, clockwise torque must equal anticlockwise torque.
MCQ No. 211
Which requires greater torque to produce the same angular acceleration?
a. Thin ring
b. Solid disc
c. Solid sphere
d. All require the same torque.
Correct Answer: a. Thin ring
Explanation:
The thin ring has the greatest moment of inertia among these bodies for the same mass and radius, so it requires the greatest torque.
MCQ No. 212
A body rotates with constant angular velocity. Which quantity must be zero?
a. Angular displacement
b. Torque
c. Angular momentum
d. Moment of inertia
Correct Answer: b. Torque
Explanation:
Constant angular velocity means angular acceleration is zero. Therefore, net torque is zero.
MCQ No. 213
A stone is whirled in a horizontal circle and released. It moves:
a. Toward the centre.
b. Along the radius.
c. Along the tangent at the point of release.
d. Along another circular path.
Correct Answer: c. Along the tangent at the point of release.
Explanation:
After release, the centripetal force disappears and the stone continues in the direction of its instantaneous velocity.
MCQ No. 214
Why are roads banked on sharp curves?
a. To reduce friction.
b. To increase vehicle speed only.
c. To help provide centripetal force through the normal reaction.
d. To reduce the weight of vehicles.
Correct Answer: c. To help provide centripetal force through the normal reaction.
Explanation:
The horizontal component of the normal force contributes to the required centripetal force.
MCQ No. 215
Which situation demonstrates conservation of angular momentum?
a. A ball falling vertically.
b. A skater pulling in her arms.
c. A stone dropped from a building.
d. A car accelerating on a straight road.
Correct Answer: b. A skater pulling in her arms.
Explanation:
Reducing moment of inertia increases angular velocity while angular momentum remains constant.
MCQ No. 216
Two satellites orbit Earth in different circular orbits. Which satellite has the greater orbital speed?
a. The one in the higher orbit.
b. Both have the same speed.
c. The one in the lower orbit.
d. Speed depends only on satellite mass.
Correct Answer: c. The one in the lower orbit.
Explanation:
Orbital speed decreases as orbital radius increases.
MCQ No. 217
Which graph best represents centripetal acceleration versus speed for a fixed radius?
a. Straight line through origin
b. Horizontal line
c. Upward-opening parabola
d. Downward-opening parabola
Correct Answer: c. Upward-opening parabola
Explanation:
Since , centripetal acceleration is proportional to the square of the speed.
MCQ No. 218
A body is rotating freely in space. If no external torque acts, which quantity cannot change?
a. Angular momentum
b. Angular velocity
c. Moment of inertia
d. Shape
Correct Answer: a. Angular momentum
Explanation:
Angular momentum remains constant in the absence of external torque, although the body may change shape and angular velocity.
MCQ No. 219
Why does a washing machine spin clothes rapidly during drying?
a. To increase gravitational force.
b. To throw water outward due to inertia while the drum provides centripetal force to the clothes.
c. To reduce the mass of water.
d. To reduce the moment of inertia.
Correct Answer: b. To throw water outward due to inertia while the drum provides centripetal force to the clothes.
Explanation:
Water tends to move tangentially through the holes in the drum, while the clothes are kept moving in a circular path.
MCQ No. 220
If the radius of a rotating platform is doubled while angular velocity remains constant, the centripetal acceleration becomes:
a. Half
b. Double
c. Four times
d. Unchanged
Correct Answer: b. Double
Explanation:
Using , doubling the radius doubles the centripetal acceleration.
MCQ No. 221
Why is a flywheel made with most of its mass near the rim?
a. To decrease its moment of inertia.
b. To increase its moment of inertia and store more rotational energy.
c. To reduce its angular momentum.
d. To reduce torque.
Correct Answer: b. To increase its moment of inertia and store more rotational energy.
Explanation:
Concentrating mass near the rim increases the moment of inertia, allowing the flywheel to store more rotational kinetic energy.
MCQ No. 222
If the net external torque on a rotating system suddenly becomes zero, the angular momentum will:
a. Increase continuously.
b. Decrease continuously.
c. Remain constant.
d. Become zero immediately.
Correct Answer: c. Remain constant.
Explanation:
This is the law of conservation of angular momentum.
MCQ No. 223
A merry-go-round is rotating freely. Several children move toward its centre. What happens?
a. The rotation slows down.
b. The rotation speeds up.
c. The rotation stops.
d. The angular momentum decreases.
Correct Answer: b. The rotation speeds up.
Explanation:
Moving toward the centre decreases the moment of inertia. To conserve angular momentum, angular velocity increases.
MCQ No. 224
Why is it easier to loosen a tight nut using a longer wrench?
a. It reduces friction.
b. It increases the perpendicular distance from the axis, producing greater torque.
c. It increases the weight of the wrench.
d. It decreases the applied force.
Correct Answer: b. It increases the perpendicular distance from the axis, producing greater torque.
Explanation:
For the same applied force, a longer lever arm produces a larger torque.
MCQ No. 225
A body rotates at constant speed in a circle. Which statement is true?
a. The net force is zero.
b. The net acceleration is zero.
c. A constant inward force continuously changes the direction of velocity.
d. The velocity remains constant in both magnitude and direction.
Correct Answer: c. A constant inward force continuously changes the direction of velocity.
Explanation:
In uniform circular motion, the inward (centripetal) force continuously changes the direction of the velocity while keeping its magnitude constant.
MCQ No. 226
A solid disc and a thin ring have the same mass and radius. Both roll down an inclined plane without slipping. Which one reaches the bottom first?
a. Thin ring
b. Solid disc
c. Both reach together
d. Cannot be determined
Correct Answer: b. Solid disc
Explanation:
The solid disc has a smaller moment of inertia than the thin ring. Therefore, less rotational kinetic energy is required, resulting in greater acceleration down the incline.
MCQ No. 227
A cyclist increases both the speed and radius of a turn by the same factor of 2. The centripetal acceleration becomes:
a. Half
b. Same
c. Double
d. Four times
Correct Answer: c. Double
Explanation:
Since
Thus, centripetal acceleration doubles.
MCQ No. 228
A rotating platform has no external torque acting on it. A person standing on it stretches both arms outward. What happens?
a. Angular velocity increases.
b. Angular momentum decreases.
c. Angular velocity decreases while angular momentum remains constant.
d. Both angular velocity and angular momentum increase.
Correct Answer: c. Angular velocity decreases while angular momentum remains constant.
Explanation:
Stretching the arms increases the moment of inertia. Since angular momentum is conserved, the angular velocity decreases.
MCQ No. 229
A satellite is orbiting Earth in a perfectly circular orbit. If Earth's mass suddenly became four times larger while the orbital radius remained unchanged, the satellite's orbital speed would become:
a. Half
b. Double
c. Four times
d. Unchanged
Correct Answer: b. Double
Explanation:
Orbital speed is
If Earth's mass becomes four times larger,
MCQ No. 230
A mechanic applies the same force to two wrenches of lengths 20 cm and 40 cm. Which statement is correct?
a. Both produce the same torque.
b. The 40 cm wrench produces twice the torque.
c. The 20 cm wrench produces twice the torque.
d. Torque is independent of wrench length.
Correct Answer: b. The 40 cm wrench produces twice the torque.
Explanation:
Torque is directly proportional to the perpendicular distance from the pivot.
MCQ No. 231
A child sitting at the edge of a merry-go-round walks slowly toward the centre while it rotates freely. Which quantity increases?
a. Rotational kinetic energy only
b. Angular velocity
c. Moment of inertia
d. Radius only
Correct Answer: b. Angular velocity
Explanation:
Moving toward the centre decreases the moment of inertia. To conserve angular momentum, angular velocity increases.
MCQ No. 232
A car moves around a circular track at constant speed. Which of the following is continuously changing?
a. Speed only
b. Magnitude of velocity only
c. Direction of velocity only
d. Mass of the car
Correct Answer: c. Direction of velocity only
Explanation:
The magnitude of velocity remains constant, but its direction changes continuously, producing centripetal acceleration.
MCQ No. 233
If the angular velocity of a rotating body is doubled, its rotational kinetic energy becomes:
a. Double
b. Four times
c. Eight times
d. Sixteen times
Correct Answer: b. Four times
Explanation:
Rotational kinetic energy is
Doubling angular velocity increases energy by a factor of four.
MCQ No. 234
Which object stores the greatest rotational kinetic energy if all have the same moment of inertia?
a. Object rotating at 5 rad/s
b. Object rotating at 10 rad/s
c. Object rotating at 15 rad/s
d. Object rotating at 20 rad/s
Correct Answer: d. Object rotating at 20 rad/s
Explanation:
Rotational kinetic energy is proportional to the square of angular velocity.
MCQ No. 235
A body is rotating freely in space. It changes its shape, increasing its moment of inertia. Which quantity definitely remains constant?
a. Angular velocity
b. Rotational kinetic energy
c. Angular momentum
d. Torque
Correct Answer: c. Angular momentum
Explanation:
In the absence of external torque, angular momentum is conserved.
MCQ No. 236
A driver suddenly applies brakes while taking a turn. The car skids because:
a. Friction becomes greater than required.
b. The available friction becomes insufficient to provide the required centripetal force.
c. Gravity disappears.
d. Torque becomes zero.
Correct Answer: b. The available friction becomes insufficient to provide the required centripetal force.
Explanation:
Braking reduces tire grip, so friction may not be enough to provide the necessary centripetal force.
MCQ No. 237
A wheel rotates with constant angular velocity. Which graph correctly represents angular displacement versus time?
a. Horizontal line
b. Straight line with constant slope
c. Upward parabola
d. Downward parabola
Correct Answer: b. Straight line with constant slope
Explanation:
With constant angular velocity,
Hence, angular displacement increases linearly with time.
MCQ No. 238
A satellite moves to an orbit having twice the orbital radius. Which quantity decreases?
a. Orbital period
b. Orbital speed
c. Potential energy
d. Moment of inertia
Correct Answer: b. Orbital speed
Explanation:
Orbital speed decreases with increasing orbital radius.
MCQ No. 239
Which statement best explains why a gymnast tucks during a somersault?
a. To increase gravitational force.
b. To decrease angular momentum.
c. To reduce moment of inertia and increase angular velocity.
d. To increase air resistance.
Correct Answer: c. To reduce moment of inertia and increase angular velocity.
Explanation:
The conservation of angular momentum allows the gymnast to rotate faster by reducing moment of inertia.
MCQ No. 240
A rotating wheel is suddenly released from its driving motor. Neglecting friction, it will:
a. Stop immediately.
b. Continue rotating with constant angular velocity.
c. Rotate with increasing speed.
d. Reverse its direction.
Correct Answer: b. Continue rotating with constant angular velocity.
Explanation:
With no external torque, Newton's First Law for rotational motion applies.
MCQ No. 241
Which quantity is responsible for keeping planets in nearly circular orbits around the Sun?
a. Centrifugal force
b. Magnetic force
c. Gravitational force acting as centripetal force
d. Atmospheric pressure
Correct Answer: c. Gravitational force acting as centripetal force
Explanation:
The Sun's gravitational attraction continuously provides the centripetal force required for planetary motion.
MCQ No. 242
A student claims that centrifugal force acts on a stone tied to a string and moving in a circle. From an inertial frame, this statement is:
a. Completely correct.
b. Incorrect because only centripetal force acts on the stone.
c. Correct only for satellites.
d. Correct because centrifugal force pulls the stone inward.
Correct Answer: b. Incorrect because only centripetal force acts on the stone.
Explanation:
In an inertial frame, the string provides the inward centripetal force. Centrifugal force is a fictitious force observed only in a rotating frame.
MCQ No. 243
Which situation involves the largest torque?
a. A 20 N force applied 0.5 m from the pivot
b. A 10 N force applied 1 m from the pivot
c. A 40 N force applied 0.25 m from the pivot
d. All produce the same torque
Correct Answer: d. All produce the same torque
Explanation:
Each produces
MCQ No. 244
A body rotates under a constant torque. Which quantity increases uniformly?
a. Angular acceleration
b. Angular displacement
c. Angular velocity
d. Moment of inertia
Correct Answer: c. Angular velocity
Explanation:
Constant torque produces constant angular acceleration. Therefore, angular velocity increases uniformly with time.
MCQ No. 245
Which of the following best explains why satellites remain in orbit instead of falling directly to Earth?
a. There is no gravity in space.
b. Satellites continuously move forward while gravity bends their path.
c. Air resistance supports them.
d. Their engines run continuously.
Correct Answer: b. Satellites continuously move forward while gravity bends their path.
Explanation:
The satellite is in continuous free fall, but its tangential velocity keeps it moving around Earth.
MCQ No. 246
A wheel rotates freely. A lump of clay sticks to its rim. Immediately after collision, the wheel's angular velocity decreases because:
a. Angular momentum is destroyed.
b. The moment of inertia increases while angular momentum is approximately conserved.
c. Torque becomes infinite.
d. The radius decreases.
Correct Answer: b. The moment of inertia increases while angular momentum is approximately conserved.
Explanation:
Adding mass at the rim increases the moment of inertia, reducing angular velocity to conserve angular momentum.
MCQ No. 247
Two identical wheels rotate with the same angular velocity. One has twice the moment of inertia of the other. Which has greater rotational kinetic energy?
a. First wheel
b. Second wheel
c. Both have equal rotational kinetic energy
d. Cannot be determined
Correct Answer: b. Second wheel
Explanation:
Since
the wheel with the larger moment of inertia stores more rotational kinetic energy.
MCQ No. 248
A driver wants to negotiate a curve safely without changing the radius of the turn. Which action is most effective?
a. Increase speed.
b. Decrease speed.
c. Turn off the engine.
d. Increase the vehicle's mass.
Correct Answer: b. Decrease speed.
Explanation:
Since
reducing speed greatly reduces the required centripetal force.
MCQ No. 249
A body rotates with constant angular acceleration. Which graph correctly represents angular velocity versus time?
a. Horizontal line
b. Straight line with constant positive slope
c. Upward-opening parabola
d. Downward-opening parabola
Correct Answer: b. Straight line with constant positive slope
Explanation:
Angular velocity changes linearly with time when angular acceleration is constant:
MCQ No. 250
A student says, "Increasing the radius of a flywheel always makes it harder to stop." Which statement best explains this?
a. A larger radius increases torque.
b. A larger radius increases moment of inertia, so more torque or time is required to stop it.
c. A larger radius reduces angular momentum.
d. Radius has no effect on rotational motion.
Correct Answer: b. A larger radius increases moment of inertia, so more torque or time is required to stop it.
Explanation:
A larger radius places more mass farther from the axis of rotation, increasing the moment of inertia. As a result, the flywheel has greater resistance to changes in rotational motion, making it harder to stop.
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