Free Simple Harmonic Motion MCQs with Answers

• A. Time period = T/2 total energy = E/4
• B. Time period = no change total energy = E/4
• C. Time period= T/2 total energy = E/2
• D. Time period= T total energy= E/2

Explanation: The time period does not depend on the amplitude but only on frequency.

• A. The speed of the body always increases
• B. The body moves at constant speed
• C. The body always slows down
• D. The body accelerates

Explanation: Correct option is D.Under action of restoring force the body start accelerating.The restoring force is directly proportional to the…

• A. 15 kHz
• B. 150 kHz
• C. 1500 kHz
• D. 150 Hz

Explanation: Correct option is A.We know thatF = p × nF = 50 × 300F = 1500 Hz = 15 kHzAs this is a numerical thus only one option is correct.

• A. Half
• B. Maximum
• C. Minimum
• D. 75%

Explanation: The potential energy at the mean position of a simple pendulum is minimum i.e. zero.

• A. The string vibrates with more energy
• B. The sound is concentrated over smaller area
• C. The speed of sound is greater in board
• D. The energy leaves the board at a greater rate

Explanation: The correct answer is (b) The sound is concentrated over a smaller area.

• A. Nature of displacement = antinode change in frequency = decrease
• B. Nature of displacement = antinode change in frequency = increase
• C. Nature of displacement = node change in frequency = increase
• D. Nature of displacement = node change in frequency = decrease

Explanation: Since the cylinder is half-filled with water, we can treat this as a pipe where it is closed on one end and open on the other.

• A. When acceleration is directly proportional to -x
• B. When acceleration is directly proportional to x
• C. When acceleration is directly proportional to v
• D. When acceleration is inversely proportional to -x

Explanation: Simple harmonic motion (SHM) is a type of oscillatory motion in which the acceleration of the system is directly proportional to the…

• A. v2 = F/m
• B. v = F/m
• C. v x m = F
• D. v = F x m

Explanation: Option A) This is a standard formula. The speed v of the waves in the string depends upon the tension, F, of the string and m, the mass…

• A. 0
• B. π/2
• C. π
• D. 3π/2

Explanation: In a pendulum undergoing simple harmonic motion (SHM), the displacement and the acceleration of the particle are 90 degrees out of phase.

• A. 2π xo/ao
• B. 2π ao/xo
• C. 2π xoao
• D. 2π / xoao

Explanation: In simple harmonic motion, the velocity is given byV max = wxoWhere,w= 2π/TVmax = aO Therefore the equation becomesaO = {2π/T} x (xo)The…

• A. Motion of the body from one extreme position to the other extreme position
• B. Motion of the body from one extreme position to the same extreme position
• C. Motion of the body from one extreme position to the mean position
• D. Motion of the body from mean position back to the mean position

Explanation: VIBRATION:The complete round trip of a body about the mean position is called vibration.For Example, the motion of the bob of the pendulum…

• A. Upward motion from mean position
• B. Right hand motion of the pendulum
• C. To and fro motion about the mean position
• D. Random movement of gas particles

Explanation: Option A : Upward motion from the mean position is not the definition of oscillatory motion.Option B : The right-hand motion of the…

• A. Kinetic energy and potential energy
• B. Kinetic energy and velocity
• C. Velocity and acceleration
• D. Acceleration and displacement

Explanation: In SHM, acceleration is directly proportional to displacement. a = - w2 xIn SHM, the acceleration of the oscillating object is directly…

• A. Acceleration is minimum when velocity is maximum
• B. acceleration is proportional to the frequency of oscillation
• C. acceleration is in opposite direction to its velocity
• D. acceleration is minimum when potential energy is maximum

Explanation: This statement is true. In SHM, when the object passes through the equilibrium position, its velocity is at its maximum, and the…

• A. 0.7T
• B. T
• C. 2T
• D. 3T

Explanation: Option A is correct since the formula for a time period of a simple pendulum is T=2pi * root of l/g.

• A. F is directed opposite to x
• B. F is directed along x
• C. F is always equal to x
• D. None of these

Explanation: In the equation F=−kx, where F represents the force exerted by the spring, k is the spring constant, and x is the displacement from the…

• A. Right hand
• B. Upwards
• C. Rest or mean position
• D. Extreme position

Explanation: The restoring force is a force that acts to bring a body to its equilibrium position.

• A. 0.28 m
• B. 10.8 m
• C. 6.28 m
• D. 10 m

Explanation: 10 m: This option represents the correct length for the simple pendulum.

• A. 1 − (x 2 / xo 2 )
• B. 1
• C. (xo 2 − x 2 )
• D. ½ (x 2)

Explanation: 𝐾𝐸 = 1 2 𝑚ω 2 (𝑥 0 2 − 𝑥 2 ) 𝑇𝑜𝑡𝑎𝑙 𝐸𝑛𝑒𝑟𝑔𝑦 = 1 2 𝑚ω 2 𝑥 0 2 Dividing the two terms gives us the ratio and the solution to…

• A. a = -2 x
• B. a = -(20π)x
• C. a = -(2π/10)2 x
• D. a = -(20π)2 x

Explanation: The motion of a simple harmonic oscillator can be described by the following equation:a = -ω2 * xwhere 'a' is the acceleration, 'x' is the…