Free Simple Harmonic Motion MCQs with Answers
466 Simple Harmonic Motion MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Simple harmonic motion is oscillation in which acceleration is directly proportional to displacement and directed toward the equilibrium position. Work includes displacement, velocity, acceleration, phase, period, frequency, amplitude and energy, with applications to springs and simple pendulums. The restoring force and the conditions for SHM distinguish it from general periodic motion.
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466 questions · page 4 of 24
- A. 60 cm
- B. 90 cm
- C. 120 cm
- D. 80 cm
Explanation: In a closed pipe, the fundamental frequency is produced when the length of the pipe is one-fourth of the wavelength.
Correct answer: 90 cm- A. (m/k)^1/2
- B. m/k
- C. (k/m)^1/2
- D. k/m
Explanation: The angular frequency ω of a mass-spring system is given by ω=(k/m)^1/2 , where k is the spring constant and m is the mass.
Correct answer: (k/m)^1/2- A. 5.6 s
- B. 7.9 s
- C. 9.6 s
- D. 9.8 s
Explanation: The time dilation effect from special relativity is given by the equation:T'= T/ √1-v2/c2Where:T' is the time observed in the moving…
Correct answer: 9.6 s- A. Mean position
- B. Extreme Position
- C. Both a and b
- D. None
Explanation: The potential energy of a simple pendulum is given by:U=mghWhere:m= massg= gravitational accelerationh= heightIn the context of a…
Correct answer: Extreme Position- A. mean position
- B. extreme position
- C. both a and b
- D. none
Explanation: Understanding Potential Energy:Potential energy is the energy an object possesses due to its position in a conservative force field (like…
Correct answer: extreme position- A. TIME period
- B. wavelength
- C. resonance
- D. doppler effects
Explanation: When an external force has the same frequency (or period) as the natural frequency (or period) of an oscillating system, the system's…
Correct answer: resonance- A. 100
- B. 100π
- C. 20π
- D. 40π
Explanation: Given:Period (T) = 0.01 sAmplitude (A) = 0.2 mWe know for simple harmonic motion,Velocity (v) at the centre = A * ωWhere, ω = 2π/Tω =…
Correct answer: 40π- A. 1 hertz
- B. 2 hertz
- C. 0.5 hertz
- D. None
Explanation: The frequency (f) of a pendulum can be calculated using the formula:f=1/Twhere f is the frequency andT is the time-period.So, f= ½= 0.5hz
Correct answer: 0.5 hertz- A. Wave moving through a string fixed at both ends.
- B. Earth spinning about its own axis.
- C. Ball bouncing between two rigid vertical walls
- D. Particle moving in a circle with uniform speed.
Explanation: In SHM, the motion is periodic, and the restoring force is proportional to the displacement from the equilibrium position.
Correct answer: Wave moving through a string fixed at both ends.- A. Period and energy get double.
- B. Period gets doubled while energy remain same
- C. Energy gets doubled while Period remain same
- D. Period remain same, and Energy becomes 4 times.
Explanation: The period (T) of a simple harmonic oscillator is independent of its amplitude.
Correct answer: Period remain same, and Energy becomes 4 times.- A. 0.008m/s
- B. 0.050 m/s
- C. 0.125 m/s
- D. 0.314 m/s
Explanation: In simple harmonic motion (SHM), the maximum speed (Vmax) of a particle is related to its amplitude (A) and angular frequency (ω) by the…
Correct answer: 0.314 m/s- A. (k1 +k2)/2
- B. K1+ K2
- C. K1k2/ (k1 + k2)
- D. √𝑘1𝑘2
Explanation: When springs are connected in series, the effective spring constant (keff ) can be found using the formula:1/keff =1/k1 +1/k2where k1 and…
Correct answer: K1k2/ (k1 + k2)- A. 5.6s
- B. 7.9s
- C. 9.6s
- D. 9.8s
Explanation: Correct. According to time dilation in special relativity, the observed period increases for an observer moving at relativistic speedsIn…
Correct answer: 7.9s- A. Phase angle
- B. Angular frequency
- C. Path difference
- D. None
Explanation: In simple harmonic motion, the displacement and direction of motion are determined by the amplitude and the restoring force, but there is…
Correct answer: None- A. Half
- B. Double
- C. No effect
- D. None of these
Explanation: The frequency of a simple pendulum is given by:f = 1 / (2π) * √(g/l)where:f is the frequencyg is the acceleration due to gravityl is the…
Correct answer: Half- A. Extreme position
- B. Peak point
- C. Mean position
- D. Point of maximum energy
Explanation: In Simple Harmonic Motion (SHM), the acceleration of the body is always directed towards the mean position.
Correct answer: Mean position- A. 2
- B. 3
- C. 0.2
- D. 0.02
Explanation: The total energy of the system is conserved. Initially, the block has only kinetic energy, which is converted into potential energy when…
Correct answer: 0.2- A. F=-kx
- B. F=lx
- C. F=k/x
- D. F=k/x^2
Explanation: Hooke's law states that the restoring force (F) exerted by a spring is directly proportional to the displacement (x) from its equilibrium…
Correct answer: F=-kx- A. 9 times
- B. 8 times
- C. 10 times
- D. 20 time
Explanation: The time period of a simple pendulum is given by: T = 2π√(L/g)where:T is the time periodL is the length of the pendulumg is the…
Correct answer: 9 times- A. L/9
- B. L/2
- C. L/3
- D. L/4
Explanation: The time period of a simple pendulum is given by: T = 2π√(L/g)where:T is the time periodL is the length of the pendulumg is the…
Correct answer: L/9