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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1,281 questions · page 8 of 65

  • A. Minimum K.E and minimum P.E
  • B. Maximum K.E and minimum P.E
  • C. Minimum K.E and maximum P.E
  • D. Maximum K.E and maximum P.E

Explanation: At the mean (equilibrium) position of a harmonic oscillator the speed is maximum, so kinetic energy is maximum, while displacement is…

Correct answer: Maximum K.E and minimum P.E
  • A. 4A/T
  • B. 2πA/T
  • C. 2A/T
  • D. 4Πa/T

Explanation: In Simple Harmonic Motion (S.H.M), the maximum speed Vmax is attained at the equilibrium position (mean position), where the acceleration…

Correct answer: 4Πa/T
  • A. T/4
  • B. T/2
  • C. 2T
  • D. 4T

Explanation: The period of vibration of a spring-mass system depends only on the mass and the spring constant, not on the amplitude or the load.

Correct answer: 2T
  • A. 1/4 S
  • B. 1/2 s
  • C. 2 s
  • D. 4 s

Explanation: The period of oscillation of a mass-spring system is given by T=2π(m/K)^1/2 , where m is the mass and k is the spring constant.

Correct answer: 1/2 s
  • A. 2v
  • B. 3v
  • C. 4v
  • D. v

Explanation: At the mean position of S.H.M, velocity (v) is maximum. If the amplitude is doubled, the maximum velocity at the mean position also…

Correct answer: 4v
  • A. Straight line
  • B. Parabola
  • C. Circle
  • D. Ellipse

Explanation: The acceleration in Simple Harmonic Motion (S.H.M) is directly proportional to the displacement from the mean position but in the opposite…

Correct answer: Parabola
  • A. 0.258 m
  • B. π/9 m
  • C. 25m
  • D. None of these

Explanation: In the given equation x=0.258cos(1/8 t), the coefficient of cos(1/8 t) is the amplitude of the oscillation.

Correct answer: 0.258 m
  • A. √6 sec
  • B. 6 s
  • C. 1 /√6 s
  • D. 6/ √6 s

Explanation: The period T of a simple pendulum is given by the formula T=2π(L/g)^1/2 , where L is the length of the pendulum and g is the acceleration…

Correct answer: √6 sec
  • A. The time period and frequency
  • B. The direction of velocitY
  • C. The exchange of energy during motion
  • D. None of these

Explanation: One of the basic properties of all oscillatory systems is the relationship between the time period and frequency.

Correct answer: The time period and frequency
  • A. Remain unaffected
  • B. Be shorte
  • C. Be longer
  • D. May be shorter or longer, depending on the magnitude of acceleration

Explanation: Then the lift starts moving upwards with uniform acceleration, the effective acceleration experienced by the simple pendulum changes.

Correct answer: Be longer
  • 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.