Free Waves MCQs with Answers
1,281 Waves MCQs from Physics, each with the correct answer and a written explanation of why it is correct. Free and unlimited, with no account needed.
Progressive waves transfer energy through oscillations, with wavelength, frequency, amplitude and wave speed related by v = fλ; sound speed depends on the medium. Superposition produces interference and stationary waves in strings and organ pipes, while simple harmonic motion describes the oscillation itself and must be distinguished from wave propagation.
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- A. increased by √18 times
- B. increased by √16 times
- C. Decreased by √18 times
- D. Decreased by √16 times
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: increased by √18 times- A. 50J
- B. 25J
- C. 0J
- D. None of these
Explanation: At the mean position, the pendulum's velocity is maximum, and its potential energy is minimum (zero).
Correct answer: 50J- A. 4π
- B. 2π
- C. π
- D. π/2
Explanation: The time period (T) of a simple pendulum is given by the formula:T = 2π√(L/g)where:L is the length of the pendulumg is the acceleration…
Correct answer: 4π- A. 8 J
- B. 16 J
- C. 4 J
- D. None of these
Explanation: The potential energy stored in a spring is given by:PE = (1/2) * k * x^2where k is the spring constant and x is the displacement.The…
Correct answer: 4 J- A. Zero
- B. Maximum
- C. Minimum
- D. Constant
Explanation: In Simple Harmonic Motion (SHM), the kinetic energy is maximum at the mean position and zero at the extreme positions.
Correct answer: Zero- A. True
- B. False
- C. None of these
- D. May or may not
Explanation: Hooke's law states that the stress is directly proportional to the strain within the elastic limit of the material.
Correct answer: False- A. Energy is constant
- B. Energy remains in the system
- C. Dissipated from the System
- D. None of these
Explanation: Damping is a phenomenon where energy is gradually lost from an oscillating system due to frictional forces.
Correct answer: Dissipated from the System- A. 3k
- B. 2k
- C. 4k
- D. k/2
Explanation: The spring constant (k) is a measure of the stiffness of a spring. It is defined as the force required to stretch or compress the spring…
Correct answer: 2k- A. Frequency
- B. Amplitude
- C. Speed
- D. None of these
Explanation: When a wave travels from one medium to another, its speed changes. This is because the speed of a wave is dependent on the properties of…
Correct answer: Speed- A. K.E
- B. P.E
- C. Total Energy
- D. All of these
Explanation: In Simple Harmonic Motion (SHM), the total mechanical energy of the system remains constant.
Correct answer: Total Energy- A. Halved
- B. Doubled
- C. Quadrupled
- 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: Doubled- A. Total energy
- B. P.F at extreme
- C. K.E at mean
- D. All of these
Explanation: In Simple Harmonic Motion, the total energy of the system remains constant.
Correct answer: All of these- A. Remain Same
- B. Be Doubled
- C. Be Halved
- D. Be Quartered
Explanation: The time period of a spring-mass system is given by:T = 2π√(m/k)where m is the mass and k is the spring constant.If the mass and spring…
Correct answer: Remain Same- A. At maximum height when a ball is thrown upwards
- B. At extreme position of a Simple Pendulum
- C. At the amplitude of the Mass Spring System
- D. All of these
Explanation: Kinetic energy (KE) is the energy possessed by an object due to its motion.
Correct answer: All of these- A. Decrease
- B. Increase
- C. Remains unchanged
- D. Becomes infinite
Explanation: When the train accelerates horizontally, the pendulum experiences a net effective gravitational force given by geff= √(g² + a²), which is…
Correct answer: Decrease- A. 1 Hz
- B. 4π Hz
- C. 1/4 Hz
- D. 4 Hz
Explanation: Compare a + ω2x = 0 to identify ω2 = 4π2, so ω = 2π. Frequency f = ω/(2π) = (2π)/(2π) = 1 Hz. Thus the system oscillates once per second.
Correct answer: 1 Hz197. When the displacement is half the amplitude the ratio of potential energy to the total energy is
- A. 1/2
- B. 1
- C. 1/8
- D. 1/4
Explanation: For SHM potential energy U ∝ x². If x = A/2 then U = ½k(A/2)² = ¼·(½kA²). Total energy is ½kA², so U/E = (¼·½kA²)/(½kA²) = 1/4.
Correct answer: 1/4- A. Reasonably large for easy measurement
- B. As small as possible
- C. Without any restriction
- D. Very large because formula T = 2π√(L/g) is derived accordingly
Explanation: The small-angle approximation (sinθ ≈ θ) underlies the standard period formula.
Correct answer: As small as possible- A. 2.5
- B. 5
- C. 10
- D. 5√2
Explanation: For small amplitudes the period of a simple pendulum is independent of amplitude: T = 2π√(L/g).
Correct answer: 5- A. When the spring is fully compressed and when the spring is fully extended
- B. When the spring is at its rest length
- C. When the spring is halfway between its rest length and its fully extended or compressed length
- D. The acceleration is constant
Explanation: In SHM acceleration a = −ω² x, so its magnitude is proportional to displacement |x|.
Correct answer: When the spring is fully compressed and when the spring is fully extended