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 1 of 65

  • A. along the direction of propagation
  • B. perpendicular to the direction of propagation
  • C. in circles of increasing radius
  • D. not at all

Explanation: Light, waves on a string and ripples on water are transverse, with the displacement at right angles to the direction the energy travels.

Correct answer: perpendicular to the direction of propagation
  • A. v equals f divided by wavelength
  • B. v equals f times wavelength
  • C. v equals wavelength divided by f
  • D. v equals f plus wavelength

Explanation: In one period the wave advances exactly one wavelength, so dividing wavelength by period gives the speed, and since frequency is the…

Correct answer: v equals f times wavelength
Very hard
  • A. 0.68 m
  • B. 1.47 m
  • C. 170 m
  • D. 0.34 m

Explanation: Wavelength is speed divided by frequency, so 340 divided by 500 gives 0.68 m.

Correct answer: 0.68 m
  • A. air
  • B. water
  • C. steel
  • D. vacuum

Explanation: Sound travels fastest in solids because their particles are closely bound and pass on a disturbance quickly, giving about 5000 m per…

Correct answer: steel
  • A. the pressure alone increases at constant temperature
  • B. the temperature increases
  • C. the humidity falls
  • D. the frequency of the sound increases

Explanation: Speed rises by roughly 0.61 m per second for every degree Celsius, because hotter molecules move faster and transmit the disturbance more…

Correct answer: the temperature increases
Fairly easy
  • A. the vector sum of the individual displacements
  • B. always zero
  • C. always double one of them
  • D. the larger of the two displacements

Explanation: Displacements add algebraically, so waves in phase reinforce and waves in antiphase cancel, and afterwards each wave continues unchanged.

Correct answer: the vector sum of the individual displacements
  • A. of different frequencies
  • B. coherent, keeping a constant phase relationship
  • C. very far apart
  • D. of unequal amplitude

Explanation: If the phase difference between the sources drifts, the positions of the bright and dark fringes shift too fast to be seen and the pattern…

Correct answer: coherent, keeping a constant phase relationship
  • A. an odd number of half wavelengths
  • B. a whole number of wavelengths
  • C. always zero
  • D. one quarter of a wavelength

Explanation: A path difference of a whole number of wavelengths brings the waves back into phase, so the crests coincide and the amplitude is a…

Correct answer: a whole number of wavelengths
Fairly easy
  • A. of exactly the same frequency overlap
  • B. of slightly different frequencies overlap
  • C. travel in opposite directions
  • D. have very different amplitudes

Explanation: The two waves drift in and out of phase, so the loudness rises and falls at a rate equal to the difference between the two frequencies.

Correct answer: of slightly different frequencies overlap
Very hard
  • A. 4 Hz
  • B. 258 Hz
  • C. 516 Hz
  • D. 0.5 Hz

Explanation: The beat frequency is simply the difference between the two frequencies, so 260 minus 256 gives 4 beats per second.

Correct answer: 4 Hz
Moderate
  • A. two identical waves travel in the same direction
  • B. two identical waves travel in opposite directions and superpose
  • C. a wave is absorbed by a wall
  • D. a single wave travels through a very long medium

Explanation: Usually the incident wave and its own reflection interfere, producing a pattern with fixed nodes of zero displacement and antinodes of…

Correct answer: two identical waves travel in opposite directions and superpose
Moderate
  • A. one wavelength
  • B. half a wavelength
  • C. a quarter of a wavelength
  • D. two wavelengths

Explanation: Nodes recur every half wavelength, with an antinode midway between each pair, so measuring the node separation is the standard way of…

Correct answer: half a wavelength
  • A. a node at the closed end and an antinode at the open end
  • B. antinodes at both ends
  • C. nodes at both ends
  • D. an antinode at the closed end

Explanation: The air cannot move at a closed end, so a node forms there, while the open end is free to vibrate and carries an antinode.

Correct answer: a node at the closed end and an antinode at the open end
  • A. all harmonics
  • B. only even harmonics
  • C. only odd harmonics
  • D. no harmonics at all

Explanation: The node and antinode boundary conditions can only be satisfied by odd multiples of the fundamental, so a closed pipe gives the first…

Correct answer: only odd harmonics
Moderate
  • A. constant in magnitude and direction
  • B. proportional to the displacement and directed towards the mean position
  • C. proportional to the speed
  • D. always zero at the extreme positions

Explanation: The restoring force is proportional to the displacement and always points back to equilibrium, which produces sinusoidal motion in time.

Correct answer: proportional to the displacement and directed towards the mean position
Moderate
  • A. at the extreme positions
  • B. at the mean position
  • C. midway between mean and extreme
  • D. everywhere, since it is constant

Explanation: At the mean position the displacement is zero, so all the energy is kinetic and the speed peaks, while at the extremes the body is…

Correct answer: at the mean position
  • A. its mass and length
  • B. its length and the acceleration due to gravity
  • C. its amplitude, for all amplitudes
  • D. the material of the bob

Explanation: The period is 2 pi times the square root of length divided by g, so it is independent of the mass entirely and of the amplitude provided…

Correct answer: its length and the acceleration due to gravity
Moderate
  • A. the driving frequency equals the natural frequency of the system
  • B. the driving frequency is much higher than the natural frequency
  • C. the amplitude is very small
  • D. there is no damping present at all

Explanation: At resonance energy is transferred most efficiently to the oscillator and the amplitude builds to a large value, limited only by damping.

Correct answer: the driving frequency equals the natural frequency of the system
  • A. lower than the true pitch
  • B. higher than the true pitch, because the waves reach the observer more frequently
  • C. unchanged
  • D. louder but of the same pitch

Explanation: Motion towards the observer crowds the wavefronts together, shortening the observed wavelength and raising the frequency, and the pitch…

Correct answer: higher than the true pitch, because the waves reach the observer more frequently
  • A. the speed of the wave
  • B. the frequency of the wave
  • C. the plane in which the vibrations occur
  • D. the amplitude of the wave

Explanation: A transverse wave vibrates in any plane perpendicular to its direction of travel, so a filter can select one of those planes, whereas a…

Correct answer: the plane in which the vibrations occur

Waves MCQs: common questions

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