100 Important MCQs (Level -1) 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 MCQs (Level 1) – 100 Basic (Concept Building) MCQs (MCQs 1–100)
MCQ No. 1
Rotational motion is the motion of a body:
a. Along a straight line
b. About a fixed axis
c. Along a curved path only
d. Randomly in space
Correct Answer: b. About a fixed axis
Explanation:
Rotational motion is the motion of a rigid body about a fixed axis. Every particle of the body moves in a circular path around that axis.
MCQ No. 2
Circular motion is the motion of a body:
a. Along a straight line
b. Along the circumference of a circle
c. In a zigzag path
d. In an elliptical path
Correct Answer: b. Along the circumference of a circle
Explanation:
In circular motion, an object moves along a circular path while maintaining a constant distance from the center.
MCQ No. 3
Angular displacement is defined as:
a. Distance travelled by a rotating body
b. The angle through which a body rotates
c. The speed of rotation
d. The radius of rotation
Correct Answer: b. The angle through which a body rotates
Explanation:
Angular displacement is the angle through which a body rotates about its axis and is measured in radians.
MCQ No. 4
The SI unit of angular displacement is:
a. Degree
b. Revolution
c. Radian
d. Meter
Correct Answer: c. Radian
Explanation:
The SI unit of angular displacement is the radian (rad).
MCQ No. 5
The relation between linear displacement and angular displacement is:
a. s = θ/r
b. s = rθ
c. s = r²θ
d. s = θ²r
Correct Answer: b. s = rθ
Explanation:
The arc length travelled by a particle moving in a circle is equal to the product of the radius and the angular displacement.
MCQ No. 6
Angular velocity is:
a. Rate of change of angular displacement
b. Rate of change of linear velocity
c. Distance travelled per second
d. Force producing rotation
Correct Answer: a. Rate of change of angular displacement
Explanation:
Angular velocity measures how quickly the angular displacement changes with time.
MCQ No. 7
The SI unit of angular velocity is:
a. m/s
b. rad/s
c. rad/s²
d. m/s²
Correct Answer: b. rad/s
Explanation:
Angular velocity is measured in radians per second.
MCQ No. 8
The relationship between linear velocity and angular velocity is:
a. v = ω/r
b. v = rω
c. v = r²ω
d. v = ω²r
Correct Answer: b. v = rω
Explanation:
The linear velocity of a point on a rotating body is equal to the product of radius and angular velocity.
MCQ No. 9
Angular acceleration is the rate of change of:
a. Angular displacement
b. Angular velocity
c. Linear velocity
d. Radius
Correct Answer: b. Angular velocity
Explanation:
Angular acceleration describes how rapidly angular velocity changes with time.
MCQ No. 10
The SI unit of angular acceleration is:
a. rad
b. rad/s
c. rad/s²
d. m/s²
Correct Answer: c. rad/s²
Explanation:
Angular acceleration is measured in radians per second squared.
MCQ No. 11
The relation between tangential acceleration and angular acceleration is:
a. a = α/r
b. a = rα
c. a = r²α
d. a = α²r
Correct Answer: b. a = rα
Explanation:
Tangential acceleration is directly proportional to angular acceleration and radius.
MCQ No. 12
Which quantity remains constant in uniform circular motion?
a. Velocity
b. Speed
c. Acceleration
d. Force
Correct Answer: b. Speed
Explanation:
Although the direction of velocity changes continuously, its magnitude (speed) remains constant.
MCQ No. 13
The instantaneous velocity of a particle in circular motion is always:
a. Towards the center
b. Tangential to the path
c. Away from the center
d. Zero
Correct Answer: b. Tangential to the path
Explanation:
The velocity of a particle moving in a circle is always tangent to the circular path.
MCQ No. 14
Centripetal acceleration acts:
a. Away from the center
b. Tangentially
c. Towards the center
d. Vertically upward
Correct Answer: c. Towards the center
Explanation:
Centripetal acceleration is always directed toward the center of the circular path.
MCQ No. 15
The formula for centripetal acceleration is:
a. a = rv²
b. a = v²/r
c. a = vr
d. a = r/v²
Correct Answer: b. a = v²/r
Explanation:
Centripetal acceleration depends on the square of speed and is inversely proportional to the radius.
MCQ No. 16
The angular form of centripetal acceleration is:
a. a = rα
b. a = rω²
c. a = ω/r
d. a = r²ω
Correct Answer: b. a = rω²
Explanation:
Using the relation , centripetal acceleration becomes .
MCQ No. 17
The force that keeps an object moving in a circular path is called:
a. Gravitational force
b. Frictional force
c. Centripetal force
d. Magnetic force
Correct Answer: c. Centripetal force
Explanation:
Centripetal force is the inward force required to keep an object moving in a circular path.
MCQ No. 18
The formula for centripetal force is:
a. F = mv/r
b. F = mv²/r
c. F = mr/v²
d. F = mrv
Correct Answer: b. F = mv²/r
Explanation:
The centripetal force acting on a body moving in a circle is given by .
MCQ No. 19
Which force keeps the Moon in its orbit around the Earth?
a. Friction
b. Tension
c. Gravitational force
d. Magnetic force
Correct Answer: c. Gravitational force
Explanation:
Earth's gravitational force acts as the centripetal force that keeps the Moon in orbit.
MCQ No. 20
For a car moving on a level circular road, the centripetal force is mainly provided by:
a. Weight
b. Normal reaction
c. Friction
d. Air resistance
Correct Answer: c. Friction
Explanation:
Static friction between the tyres and the road provides the required centripetal force.
MCQ No. 21
On a frictionless banked road, the centripetal force is provided by:
a. Friction
b. Weight
c. Horizontal component of the normal force
d. Air resistance
Correct Answer: c. Horizontal component of the normal force
Explanation:
The horizontal component of the normal reaction supplies the required centripetal force.
MCQ No. 22
The banking angle of a road is given by:
a. tanθ = rg/v²
b. tanθ = v²/rg
c. sinθ = v²/rg
d. cosθ = rg/v²
Correct Answer: b. tanθ = v²/rg
Explanation:
The ideal banking angle is determined by the relation .
MCQ No. 23
A satellite remains in orbit because:
a. There is no gravity in space
b. Earth's gravity continuously pulls it toward Earth
c. It has no weight
d. It has no mass
Correct Answer: b. Earth's gravity continuously pulls it toward Earth
Explanation:
Gravity acts as the centripetal force that keeps the satellite moving in a circular orbit.
MCQ No. 24
Weightlessness inside an orbiting satellite occurs because:
a. Gravity is absent
b. Mass becomes zero
c. The satellite and everything inside it are in free fall
d. Air pressure becomes zero
Correct Answer: c. The satellite and everything inside it are in free fall
Explanation:
Both the satellite and the objects inside it fall together under gravity, producing the sensation of weightlessness.
MCQ No. 25
A geostationary satellite completes one revolution around the Earth in:
a. 12 hours
b. 18 hours
c. 24 hours
d. 48 hours
Correct Answer: c. 24 hours
Explanation:
A geostationary satellite has an orbital period of 24 hours, matching the Earth's rotational period.
MCQ No. 26
A geostationary satellite revolves around the Earth above the:
a. North Pole
b. South Pole
c. Equator
d. Tropic of Cancer
Correct Answer: c. Equator
Explanation:
A geostationary satellite must orbit directly above the Earth's equator to remain fixed over the same point on Earth.
MCQ No. 27
The orbital velocity of a satellite depends upon:
a. Mass of the satellite
b. Radius of its orbit
c. Shape of the satellite
d. Density of the satellite
Correct Answer: b. Radius of its orbit
Explanation:
The orbital velocity is given by
MCQ No. 28
The force responsible for keeping an artificial satellite in orbit is:
a. Magnetic force
b. Electrostatic force
c. Gravitational force
d. Frictional force
Correct Answer: c. Gravitational force
Explanation:
Earth's gravitational attraction provides the centripetal force required for orbital motion.
MCQ No. 29
The approximate orbital speed of a satellite near the Earth's surface is:
a. 3.0 km/s
b. 5.5 km/s
c. 7.9 km/s
d. 11.2 km/s
Correct Answer: c. 7.9 km/s
Explanation:
The first cosmic (orbital) velocity near Earth's surface is approximately 7.9 km/s.
MCQ No. 30
As the height of a satellite above the Earth's surface increases, its orbital velocity:
a. Increases
b. Decreases
c. Remains constant
d. Becomes zero
Correct Answer: b. Decreases
Explanation:
A satellite in a higher orbit moves more slowly because orbital velocity is inversely proportional to the square root of the orbital radius.
MCQ No. 31
Moment of inertia is the rotational analogue of:
a. Force
b. Energy
c. Mass
d. Momentum
Correct Answer: c. Mass
Explanation:
Just as mass resists linear acceleration, moment of inertia resists angular acceleration.
MCQ No. 32
Moment of inertia depends upon:
a. Mass only
b. Shape only
c. Axis of rotation only
d. Mass, shape and axis of rotation
Correct Answer: d. Mass, shape and axis of rotation
Explanation:
The value of moment of inertia depends on the amount and distribution of mass about the axis of rotation.
MCQ No. 33
The SI unit of moment of inertia is:
a. kg·m
b. kg·m²
c. N·m
d. J
Correct Answer: b. kg·m²
Explanation:
Moment of inertia has the SI unit kilogram metre squared (kg·m²).
MCQ No. 34
The moment of inertia of a thin ring about its central axis is:
a. ½MR²
b. ⅖MR²
c. MR²
d. ⅓MR²
Correct Answer: c. MR²
Explanation:
Since all the mass of the ring lies at the same distance from the axis, its moment of inertia is MR².
MCQ No. 35
The moment of inertia of a solid disc about its central axis is:
a. MR²
b. ½MR²
c. ⅖MR²
d. ⅓MR²
Correct Answer: b. ½MR²
Explanation:
The standard moment of inertia of a uniform solid disc is ½MR².
MCQ No. 36
The moment of inertia of a solid sphere about its diameter is:
a. MR²
b. ½MR²
c. ⅖MR²
d. ⅔MR²
Correct Answer: c. ⅖MR²
Explanation:
For a solid sphere, the standard moment of inertia about its diameter is ⅖MR².
MCQ No. 37
Angular momentum is defined as:
a. Iα
b. Iω
c. τω
d. mrω
Correct Answer: b. Iω
Explanation:
Angular momentum is the product of moment of inertia and angular velocity.
MCQ No. 38
The SI unit of angular momentum is:
a. kg·m²
b. kg·m²/s
c. N·m
d. J
Correct Answer: b. kg·m²/s
Explanation:
Angular momentum is measured in kilogram metre squared per second.
MCQ No. 39
Torque is defined as:
a. Force per unit area
b. Turning effect of a force
c. Product of mass and velocity
d. Rate of doing work
Correct Answer: b. Turning effect of a force
Explanation:
Torque is the turning effect produced when a force acts at a perpendicular distance from the axis.
MCQ No. 40
The SI unit of torque is:
a. Joule
b. Newton
c. Newton metre
d. Watt
Correct Answer: c. Newton metre
Explanation:
Torque is measured in newton metre (N·m).
MCQ No. 41
Torque is equal to:
a. Force × Time
b. Force × Perpendicular distance
c. Force × Velocity
d. Mass × Acceleration
Correct Answer: b. Force × Perpendicular distance
Explanation:
Torque is the product of the applied force and the perpendicular distance from the axis of rotation.
MCQ No. 42
Angular acceleration is produced by:
a. Momentum
b. Work
c. Torque
d. Power
Correct Answer: c. Torque
Explanation:
Torque produces angular acceleration according to the relation τ = Iα.
MCQ No. 43
The rotational form of Newton's second law is:
a. F = ma
b. τ = Iα
c. W = Fs
d. p = mv
Correct Answer: b. τ = Iα
Explanation:
Torque equals the product of moment of inertia and angular acceleration.
MCQ No. 44
The law of conservation of angular momentum states that angular momentum remains constant if:
a. Net force is zero
b. Net external torque is zero
c. Mass is constant
d. Velocity is constant
Correct Answer: b. Net external torque is zero
Explanation:
Angular momentum remains constant in the absence of an external torque.
MCQ No. 45
A figure skater spins faster by pulling in her arms because:
a. Her mass increases
b. Her moment of inertia decreases
c. Gravity increases
d. Torque increases
Correct Answer: b. Her moment of inertia decreases
Explanation:
Reducing the moment of inertia increases angular velocity to conserve angular momentum.
MCQ No. 46
A diver curls his body during a dive to:
a. Increase air resistance
b. Increase angular speed
c. Decrease gravitational force
d. Increase mass
Correct Answer: b. Increase angular speed
Explanation:
By reducing the moment of inertia, the diver rotates faster while conserving angular momentum.
MCQ No. 47
Which quantity remains constant for all particles of a rotating rigid body?
a. Linear velocity
b. Linear acceleration
c. Angular velocity
d. Tangential velocity
Correct Answer: c. Angular velocity
Explanation:
Every point on a rigid body rotates through the same angle in the same time, so angular velocity is the same for all particles.
MCQ No. 48
The direction of angular velocity is determined by the:
a. Left-hand rule
b. Fleming's left-hand rule
c. Right-hand thumb rule
d. Maxwell's rule
Correct Answer: c. Right-hand thumb rule
Explanation:
Curl the fingers of your right hand in the direction of rotation; the thumb points in the direction of angular velocity.
MCQ No. 49
In uniform circular motion, the work done by the centripetal force is:
a. Positive
b. Negative
c. Zero
d. Maximum
Correct Answer: c. Zero
Explanation:
The centripetal force is always perpendicular to the displacement, so it does no work.
MCQ No. 50
Which of the following best explains why planets move faster when they are closer to the Sun?
a. Newton's First Law
b. Conservation of Angular Momentum
c. Hooke's Law
d. Boyle's Law
Correct Answer: b. Conservation of Angular Momentum
Explanation:
As a planet moves closer to the Sun, its distance from the axis decreases. To conserve angular momentum, its orbital speed increases.
MCQ No. 51
One complete revolution is equal to:
a. π rad
b. 2π rad
c. π/2 rad
d. 4π rad
Correct Answer: b. 2π rad
Explanation:
One complete revolution corresponds to an angular displacement of 360°, which is equal to radians.
MCQ No. 52
If a body rotates with constant angular velocity, its angular acceleration is:
a. Maximum
b. Variable
c. Zero
d. Infinite
Correct Answer: c. Zero
Explanation:
Angular acceleration is the rate of change of angular velocity. If angular velocity remains constant, angular acceleration is zero.
MCQ No. 53
Which quantity is common to every particle of a rotating rigid body?
a. Linear speed
b. Linear acceleration
c. Angular displacement
d. Tangential velocity
Correct Answer: c. Angular displacement
Explanation:
Every particle of a rigid body rotates through the same angle in the same interval of time.
MCQ No. 54
The linear speed of a particle in rotational motion depends upon:
a. Angular velocity only
b. Radius only
c. Radius and angular velocity
d. Mass of the particle
Correct Answer: c. Radius and angular velocity
Explanation:
Linear speed is given by the relation .
MCQ No. 55
Which quantity changes continuously during uniform circular motion?
a. Speed
b. Radius
c. Velocity
d. Mass
Correct Answer: c. Velocity
Explanation:
Although speed remains constant, the direction of velocity changes continuously.
MCQ No. 56
The direction of centripetal force is always:
a. Tangential to the path
b. Away from the centre
c. Towards the centre
d. Parallel to velocity
Correct Answer: c. Towards the centre
Explanation:
Centripetal force always acts toward the centre of the circular path.
MCQ No. 57
Which quantity is responsible for changing the direction of velocity in circular motion?
a. Tangential force
b. Centripetal force
c. Gravitational potential energy
d. Momentum
Correct Answer: b. Centripetal force
Explanation:
The inward centripetal force continuously changes the direction of velocity without changing its magnitude.
MCQ No. 58
If the radius of a circular path is doubled while the speed remains constant, the centripetal acceleration becomes:
a. Double
b. Four times
c. Half
d. Unchanged
Correct Answer: c. Half
Explanation:
Since , doubling the radius halves the centripetal acceleration.
MCQ No. 59
If the speed of a particle moving in a circle is doubled while the radius remains constant, the centripetal acceleration becomes:
a. Double
b. Half
c. Four times
d. Eight times
Correct Answer: c. Four times
Explanation:
Centripetal acceleration is directly proportional to the square of the speed.
MCQ No. 60
For a body moving with uniform speed in a circular path, the centripetal force is:
a. Zero
b. Constant in magnitude
c. Variable in magnitude
d. Opposite to the radius
Correct Answer: b. Constant in magnitude
Explanation:
If speed and radius remain constant, the magnitude of the centripetal force remains constant, although its direction continuously changes.
MCQ No. 61
If the mass of a particle moving in a circle is doubled while speed and radius remain constant, the centripetal force becomes:
a. Half
b. Double
c. Four times
d. Unchanged
Correct Answer: b. Double
Explanation:
Centripetal force is directly proportional to the mass of the particle.
MCQ No. 62
The orbital velocity of a satellite is independent of its:
a. Radius of orbit
b. Mass
c. Earth's mass
d. Gravitational constant
Correct Answer: b. Mass
Explanation:
The orbital velocity depends on Earth's mass and orbital radius but not on the satellite's own mass.
MCQ No. 63
A satellite appears stationary relative to the Earth when it is:
a. A polar satellite
b. A weather satellite
c. A geostationary satellite
d. A remote sensing satellite
Correct Answer: c. A geostationary satellite
Explanation:
A geostationary satellite revolves around the Earth with the same angular velocity as the Earth rotates.
MCQ No. 64
Artificial gravity in a space station can be produced by:
a. Increasing its mass
b. Rotating the station
c. Increasing atmospheric pressure
d. Using magnets
Correct Answer: b. Rotating the station
Explanation:
The rotation of the space station produces centripetal acceleration that creates the sensation of gravity.
MCQ No. 65
The value of moment of inertia is minimum when the axis passes through the:
a. Edge of the body
b. Surface of the body
c. Centre of mass
d. Corner of the body
Correct Answer: c. Centre of mass
Explanation:
For a given body, the moment of inertia is minimum about an axis passing through its centre of mass.
MCQ No. 66
Moment of inertia mainly depends upon:
a. Colour of the body
b. Distribution of mass
c. Temperature
d. Volume only
Correct Answer: b. Distribution of mass
Explanation:
The farther the mass is distributed from the axis of rotation, the greater the moment of inertia.
MCQ No. 67
A ring has a greater moment of inertia than a solid disc of the same mass and radius because:
a. It has greater mass
b. Its mass is concentrated farther from the axis
c. It rotates faster
d. It experiences more friction
Correct Answer: b. Its mass is concentrated farther from the axis
Explanation:
Since all the mass of the ring lies at the maximum distance from the axis, its moment of inertia is larger.
MCQ No. 68
Angular momentum is conserved when:
a. Net external force is zero
b. Net external torque is zero
c. Velocity is constant
d. Acceleration is zero
Correct Answer: b. Net external torque is zero
Explanation:
Angular momentum remains constant if no external torque acts on the system.
MCQ No. 69
A spinning top remains upright because of:
a. Gravitational force
b. Friction
c. Conservation of angular momentum
d. Magnetic force
Correct Answer: c. Conservation of angular momentum
Explanation:
The large angular momentum of a spinning top helps it resist changes in its axis of rotation.
MCQ No. 70
A ceiling fan continues rotating for some time after the switch is turned off due to:
a. Newton's First Law
b. Conservation of angular momentum
c. Inertia of rotation
d. Gravitational force
Correct Answer: c. Inertia of rotation
Explanation:
The fan continues to rotate because of its rotational inertia before friction gradually brings it to rest.
MCQ No. 71
The turning effect produced by a force is called:
a. Momentum
b. Power
c. Torque
d. Impulse
Correct Answer: c. Torque
Explanation:
Torque measures the ability of a force to rotate a body about an axis.
MCQ No. 72
Torque becomes zero when the applied force acts:
a. Perpendicular to the lever arm
b. Along the axis of rotation
c. Along the line joining the point of application and the axis
d. At the maximum distance from the axis
Correct Answer: c. Along the line joining the point of application and the axis
Explanation:
When the force acts along the radius, the perpendicular distance is zero, so no torque is produced.
MCQ No. 73
The direction of torque is determined by:
a. Left-hand thumb rule
b. Fleming's right-hand rule
c. Right-hand thumb rule
d. Maxwell's corkscrew rule
Correct Answer: c. Right-hand thumb rule
Explanation:
The direction of torque is perpendicular to the plane containing the force and the lever arm and is determined by the right-hand thumb rule.
MCQ No. 74
Which quantity has the same SI unit as torque but represents a different physical concept?
a. Momentum
b. Work
c. Power
d. Pressure
Correct Answer: b. Work
Explanation:
Both torque and work have the SI unit newton metre (N·m), but work is a scalar quantity whereas torque is a vector quantity.
MCQ No. 75
Which of the following best describes rotational equilibrium?
a. Net force is maximum
b. Net torque is zero
c. Angular velocity is maximum
d. Linear velocity is zero
Correct Answer: b. Net torque is zero
Explanation:
A body is in rotational equilibrium when the algebraic sum of all torques acting on it is zero, so there is no angular acceleration.
MCQ No. 76
Which quantity is a scalar?
a. Angular displacement
b. Angular velocity
c. Speed
d. Torque
Correct Answer: c. Speed
Explanation:
Speed has magnitude only and no direction, so it is a scalar quantity. The other quantities are treated as vectors in rotational motion.
MCQ No. 77
The angular displacement of a rotating body is measured with respect to:
a. Time
b. Initial position
c. Radius
d. Diameter
Correct Answer: b. Initial position
Explanation:
Angular displacement is the angle through which a body rotates from its initial position.
MCQ No. 78
If the radius of rotation is zero, the linear velocity of the particle will be:
a. Infinite
b. Equal to angular velocity
c. Zero
d. Maximum
Correct Answer: c. Zero
Explanation:
Since , the linear velocity becomes zero when the radius is zero.
MCQ No. 79
The direction of centripetal acceleration is always:
a. Along the velocity
b. Opposite to velocity
c. Towards the centre of the circle
d. Away from the centre
Correct Answer: c. Towards the centre of the circle
Explanation:
Centripetal acceleration always acts towards the centre of the circular path.
MCQ No. 80
A stone tied to a string is whirled in a circle. If the string breaks, the stone moves:
a. Towards the centre
b. Along the circular path
c. Tangentially to the circle
d. Vertically downward
Correct Answer: c. Tangentially to the circle
Explanation:
When the centripetal force disappears, the stone continues in the direction of its instantaneous velocity, which is tangential to the circle.
MCQ No. 81
Which of the following is not an example of rotational motion?
a. A spinning top
b. A rotating ceiling fan
c. A satellite revolving around the Earth
d. A bicycle wheel rotating about its axle
Correct Answer: c. A satellite revolving around the Earth
Explanation:
A satellite revolves around the Earth, which is an example of circular (orbital) motion rather than rotation about its own axis.
MCQ No. 82
Which quantity determines the ease with which a body starts rotating?
a. Mass
b. Torque
c. Moment of inertia
d. Power
Correct Answer: b. Torque
Explanation:
Torque is the turning effect of a force that causes a body to start rotating.
MCQ No. 83
A larger moment of inertia means that the body:
a. Rotates more easily
b. Offers greater resistance to rotational motion
c. Has less mass
d. Has greater linear speed
Correct Answer: b. Offers greater resistance to rotational motion
Explanation:
A body with a larger moment of inertia is more difficult to rotate because its mass is distributed farther from the axis.
MCQ No. 84
Which of the following has the greatest moment of inertia for the same mass and radius?
a. Solid sphere
b. Solid disc
c. Thin ring
d. Solid cylinder
Correct Answer: c. Thin ring
Explanation:
The thin ring has all its mass concentrated at the maximum distance from the axis, giving it the greatest moment of inertia.
MCQ No. 85
The radius of gyration represents:
a. Radius of a circle
b. Effective distance of mass from the axis of rotation
c. Radius of the Earth
d. Orbital radius of a satellite
Correct Answer: b. Effective distance of mass from the axis of rotation
Explanation:
The radius of gyration is the distance from the axis at which the entire mass of the body may be assumed to be concentrated without changing its moment of inertia.
MCQ No. 86
The relation between moment of inertia and radius of gyration is:
a. I = Mk
b. I = Mk²
c. I = M²k
d. I = k²/M
Correct Answer: b. I = Mk²
Explanation:
Moment of inertia is equal to the product of mass and the square of the radius of gyration.
MCQ No. 87
The angular momentum of a body increases when:
a. Angular velocity increases
b. Radius decreases only
c. Mass decreases
d. Torque becomes zero
Correct Answer: a. Angular velocity increases
Explanation:
Angular momentum is given by . If the moment of inertia remains constant, increasing angular velocity increases angular momentum.
MCQ No. 88
The direction of angular momentum is the same as the direction of:
a. Linear velocity
b. Centripetal force
c. Angular velocity
d. Tangential acceleration
Correct Answer: c. Angular velocity
Explanation:
Angular momentum is directed along the axis of rotation in the same direction as angular velocity.
MCQ No. 89
Which of the following devices works on the principle of conservation of angular momentum?
a. Electric heater
b. Gyroscope
c. Barometer
d. Thermometer
Correct Answer: b. Gyroscope
Explanation:
A gyroscope maintains its orientation due to the conservation of angular momentum.
MCQ No. 90
When a cyclist takes a turn, he bends inward to:
a. Increase his weight
b. Reduce air resistance
c. Prevent toppling by balancing the torque
d. Increase friction
Correct Answer: c. Prevent toppling by balancing the torque
Explanation:
Leaning inward keeps the resultant force and torque balanced, preventing the cyclist from falling outward.
MCQ No. 91
Which satellite is mainly used for weather forecasting and communication?
a. Polar satellite
b. Geostationary satellite
c. Space probe
d. Lunar satellite
Correct Answer: b. Geostationary satellite
Explanation:
Geostationary satellites remain above the same location on Earth, making them ideal for communication and weather monitoring.
MCQ No. 92
Polar satellites are mainly used for:
a. Television broadcasting
b. Weather forecasting over one region only
c. Earth observation and mapping
d. Providing artificial gravity
Correct Answer: c. Earth observation and mapping
Explanation:
Polar satellites pass over different parts of the Earth and are widely used for remote sensing and mapping.
MCQ No. 93
The angular speed of a geostationary satellite is:
a. Greater than Earth's angular speed
b. Less than Earth's angular speed
c. Equal to Earth's angular speed
d. Zero
Correct Answer: c. Equal to Earth's angular speed
Explanation:
A geostationary satellite must have the same angular speed as the Earth to appear stationary.
MCQ No. 94
The primary reason for banking roads is to:
a. Reduce fuel consumption
b. Increase road width
c. Provide the required centripetal force for safe turning
d. Reduce vehicle weight
Correct Answer: c. Provide the required centripetal force for safe turning
Explanation:
Banking helps the horizontal component of the normal force provide the necessary centripetal force.
MCQ No. 95
If no external torque acts on a rotating system, which quantity remains unchanged?
a. Torque
b. Angular momentum
c. Angular acceleration
d. Centripetal force
Correct Answer: b. Angular momentum
Explanation:
The law of conservation of angular momentum states that the total angular momentum remains constant in the absence of external torque.
MCQ No. 96
Which physical quantity is measured in newton metre (N·m)?
a. Torque
b. Velocity
c. Momentum
d. Pressure
Correct Answer: a. Torque
Explanation:
Torque is measured in newton metre (N·m), representing the turning effect of a force.
MCQ No. 97
The Earth's rotation about its own axis is an example of:
a. Circular motion only
b. Rotational motion
c. Translational motion
d. Oscillatory motion
Correct Answer: b. Rotational motion
Explanation:
The Earth rotates about its own axis once every 24 hours, making it an example of rotational motion.
MCQ No. 98
The Moon revolves around the Earth in:
a. Rotational motion only
b. Circular (orbital) motion
c. Rectilinear motion
d. Random motion
Correct Answer: b. Circular (orbital) motion
Explanation:
The Moon moves around the Earth in an orbit, which is an example of circular (orbital) motion.
MCQ No. 99
The SI unit of angular momentum is:
a. kg·m/s
b. kg·m²/s
c. N·m
d. kg/s
Correct Answer: b. kg·m²/s
Explanation:
Angular momentum is the product of moment of inertia and angular velocity, so its SI unit is kg·m²/s.
MCQ No. 100
Which statement best summarizes the concept of rotational dynamics?
a. It studies bodies moving in straight lines.
b. It deals only with gravitational force.
c. It explains how torque produces rotational motion and how bodies resist rotation through moment of inertia.
d. It is limited to the study of satellites.
Correct Answer: c. It explains how torque produces rotational motion and how bodies resist rotation through moment of inertia.
Explanation:
Rotational dynamics studies the causes of rotational motion. Torque produces angular acceleration, while the moment of inertia determines how strongly a body resists changes in its rotational motion.
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