Free Angular and Linear Quantities MCQs with Answers
317 Angular and Linear Quantities MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Rotational motion relates angular displacement, angular velocity and angular acceleration to linear displacement, tangential velocity and tangential acceleration through the radius. Questions use radians, v equals r omega and tangential acceleration, while distinguishing tangential velocity from centripetal acceleration and angular quantities from their linear counterparts.
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317 questions · page 3 of 16
- A. Angular displacement
- B. Angular velocity
- C. Angular acceleration
- D. None of these
Explanation: Displacement, velocity and acceleration are vector quantities as they have magnitude and direction associated with them.
Correct answer: None of these- A. v2 = GM/r
- B. v2= √GM/r
- C. v2= √r/GM
- D. v2= √2GM/r
- E. v2= √2r/GM
Explanation: In a circular orbit, the gravitational force on the satellite provides the necessary centripetal force to keep the satellite moving in a…
Correct answer: v2 = GM/r- A. ml2
- B. 1/2 ml2
- C. 1/3 ml2
- D. 2/5 ml2
- E. 1/12 ml2
Explanation: The moment of inertia of a thin rod of mass m and length l about an axis passing through its center of mass and perpendicular to its…
Correct answer: 1/12 ml2- A. 5/2 mr2
- B. 2/5 mr2
- C. 1/2 mr2
- D. 1/3 mr2
- E. mr2
Explanation: The moment of inertia of a solid sphere about a line passing through its center is given by the formula:I = (2/5)mr²where m is the mass of…
Correct answer: 2/5 mr2- A. Acute angle
- B. Obtuse angle
- C. Right angle
- D. Supplementary angle
Explanation: Correct. The velocity of the electron is tangential, and the radius is radial, making them perpendicular.
Correct answer: Right angle- A. Turning effect of force
- B. Cross product of position vector and force
- C. Product of force and moment arm
- D. All A, B and C are correct
Explanation: Torque is the turning effect of a force and is defined vectorially by τ = r x F, while its magnitude is force multiplied by the…
Correct answer: All A, B and C are correct- A. Angular Momentum
- B. Linear momentum
- C. kinetic energy
- D. none of these
Explanation: Angular momentum is conserved when there is no external torque acting on the system.
Correct answer: Angular Momentum- A. along the axis
- B. along tangent
- C. directed towards center
- D. directed away from center
Explanation: he linear velocity of a body moving in a circle is always directed along the tangent to the circle at the point where the body is located.
Correct answer: along the axis49. When a body moves in a circle, the angle between its linear velocity and angular velocity is always
- A. 180⁰
- B. 0⁰
- C. 90⁰
- D. 45⁰The angle between linear velocity (\( v \)) and angular velocity (\( \omega \)) for a body moving in a circle is always 90°. This is because linear velocity is tangential to the circle, while angular velocity is directed along the axis of rotation.
Explanation: The angle between linear velocity (\( v \)) and angular velocity (\( \omega \)) for a body moving in a circle is always 90°.
Correct answer: 90⁰- A. a= alphaxr v
- B. a= rxalpha
- C. a= alphaxr
- D. a= ax alpha
Explanation: This is correct. This equation represents the fundamental relationship between linear and angular acceleration for a point on a rotating…
Correct answer: a= rxalpha- A. Linear Momentum
- B. Linear Kinetic Energy
- C. Angular Kinetic Energy
- D. Angular Momentum
Explanation: According to the law of conservation of angular momentum, if no external torque acts on a system, the angular momentum remains constant.
Correct answer: Angular Momentum- A. Tangent to the circle
- B. Inward the circle
- C. Axis of rotation
- D. outward of the rotation
Explanation: Angular momentum is a vector quantity directed along the axis of rotation according to the right-hand rule.
Correct answer: Axis of rotation- A. 1N
- B. 10N
- C. 2N
- D. 100N
Explanation: The outward force acting on a rotating mass is the tension in the string, which is equal to the centripetal force.
Correct answer: 10N- A. At the highest point
- B. At the lowest point
- C. At any point during motion
- D. At the point where gravity is not acting
Explanation: The tension in the string is maximum at the bottom (lowest point) of the vertical circle, and if this tension exceeds the strength of the…
Correct answer: At the lowest point- A. Tangential acceleration \(= rv^2\) and Centripetal acceleration \(= 0\)
- B. Tangential acceleration \(= v^2/r\) and Centripetal acceleration \(= 0\)
- C. Tangential acceleration \(= 0\) and Centripetal acceleration \(= rv^2\)
- D. Tangential acceleration \(= 0\) and Centripetal acceleration \(= v^2/r\)
Explanation: When a body moves at a constant speed in a circular path, its tangential acceleration is \(a_t = \frac{v^2}{r}\) and its centripetal…
Correct answer: Tangential acceleration \(= v^2/r\) and Centripetal acceleration \(= 0\)- A. \( F = ma \)
- B. F = Delta p/Delta t
- C. tau = I \alpha
- D. All of these
Explanation: In angular motion, Newton's second law is expressed as \( \tau = I \alpha \), where \( \tau \) is the torque, \( I \) is the moment of…
Correct answer: tau = I \alpha- A. Along the axis of rotation
- B. Along the tangent
- C. Directed towards the center
- D. Directed away from the center
Explanation: The linear velocity of a body moving in a circle is always directed along the tangent to the circle at the point where the body is…
Correct answer: Along the tangent- A. Radian
- B. Radian per second
- C. Radian per second2
- D. None
Explanation: Angular acceleration (α) is the rate of change of angular velocity (ω) with respect to time (t):The formula for angular acceleration is…
Correct answer: Radian per second2- A. mass and velocity
- B. momentum and omega
- C. momentum and acceleration
- D. angular momentum and omega
Explanation: The moment of inertia (I) is defined as the ratio of angular momentum (L) to angular velocity (ω), mathematically expressed as I=L/ω .
Correct answer: angular momentum and omega- A. 2
- B. 1/4
- C. 1/3
- D. 2/3
Explanation: For a hoop rolling without slipping, the total energy is the sum of its translational kinetic energy and rotational kinetic energy.
Correct answer: 2