MCQs / Physics / Superposition, Stationary Waves and Beats

Superposition, Stationary Waves and Beats MCQs — Physics

150 multiple-choice questions on Superposition, Stationary Waves and Beats from Physics, each with the correct answer and, where available, a teacher's explanation. Read through them to revise the chapter, then practise the same questions one by one to test yourself.

1. An organ stop called 'voix céleste' deliberately uses two pipes slightly out of tune to produce:

  1. silence
  2. a higher octave
  3. a pleasant wavering (beats) effect
  4. an echo

Answer: C) a pleasant wavering (beats) effect

Explanation: Intentional beats. SLO P-11-D-16 · Application

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2. Nodes in a stationary wave are 12 cm apart and the frequency is 50 Hz. The speed of the travelling waves is:

  1. 6 m/s
  2. 24 m/s
  3. 12 m/s
  4. 600 m/s

Answer: C) 12 m/s

Explanation: lambda = 24 cm; v = flambda = 50 0.24 = 12 m/s. SLO P-11-D-11 · Understanding

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3. Two loudspeakers connected to the same signal generator are:

  1. coherent sources
  2. incoherent sources
  3. sources of light
  4. unable to interfere

Answer: A) coherent sources

Explanation: Same frequency, fixed phase. SLO P-11-D-14 · Understanding

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4. The time between two successive loud sounds in beats of 4 Hz is:

  1. 2 s
  2. 4 s
  3. 0.5 s
  4. 0.25 s

Answer: D) 0.25 s

Explanation: Tb = 1/fb. SLO P-11-D-15 · Understanding

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5. For constructive interference from in-phase sources, the path difference is:

  1. nlambda
  2. lambda4
  3. (n + tfrac12)lambda
  4. nlambda

Answer: A) nlambda

Explanation: n = 0, 1, 2, ldots SLO P-11-D-08 · Understanding

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6. A string of length 0.9 m fixed at both ends vibrates in 2 loops. The wavelength is:

  1. 0.9 m
  2. 0.45 m
  3. 1.0 m
  4. 1.8 m

Answer: A) 0.9 m

Explanation: Each loop is lambda2: lambda = 2Ln = 0.9 m. SLO P-11-D-10 · Application

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7. In the microwave experiment, a stationary wave is formed by:

  1. microwaves passing through glass
  2. microwaves absorbed by water
  3. two different transmitters
  4. microwaves reflected from a metal plate overlapping the incident waves

Answer: D) microwaves reflected from a metal plate overlapping the incident waves

Explanation: Reflection gives two waves travelling in opposite directions. SLO P-11-D-10 · Application

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8. A diffraction grating produces sharp bright lines because of:

  1. diffraction combined with interference from many slits
  2. reflection only
  3. the Doppler effect
  4. polarization

Answer: A) diffraction combined with interference from many slits

Explanation: Many coherent sources. SLO P-11-D-13 · Understanding

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9. If the length of a vibrating string is halved (same tension), its fundamental frequency:

  1. quadruples
  2. halves
  3. stays the same
  4. doubles

Answer: D) doubles

Explanation: f1 = v2L. SLO P-11-D-12 · Understanding

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10. Dark fringes in Young's double-slit experiment are due to:

  1. diffraction only
  2. destructive interference
  3. constructive interference
  4. absorption

Answer: B) destructive interference

Explanation: Path difference (n + 12)lambda. SLO P-11-D-08 · Understanding

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11. Small paper riders placed on a vibrating string fall off at the:

  1. ends
  2. antinodes
  3. centre only
  4. nodes

Answer: B) antinodes

Explanation: Maximum vibration. SLO P-11-D-10 · Application

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12. Beats are produced because the two waves:

  1. are polarized
  2. travel in opposite directions
  3. have different speeds
  4. drift in and out of phase

Answer: D) drift in and out of phase

Explanation: Alternate constructive and destructive interference. SLO P-11-D-15 · Understanding

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13. A violinist tunes the A string against a 440 Hz reference and hears no beats. The A string frequency is:

  1. 880 Hz
  2. 440 Hz
  3. 439 Hz
  4. 441 Hz

Answer: B) 440 Hz

Explanation: Zero beats. SLO P-11-D-16 · Application

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14. A string produces 5 beats/s with a 256 Hz fork. Loosening the string slightly gives 7 beats/s. The original frequency of the string was:

  1. 256 Hz
  2. 263 Hz
  3. 251 Hz
  4. 261 Hz

Answer: C) 251 Hz

Explanation: Loosening lowers frequency; it moved further away, so it was below 256 Hz. SLO P-11-D-16 · Application

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15. Passive noise reduction (as opposed to active cancellation) uses:

  1. anti-noise waves
  2. sound-absorbing padding
  3. polarizers
  4. radio waves

Answer: B) sound-absorbing padding

Explanation: Physical blocking. SLO P-11-D-09 · Understanding

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16. At a point, one wave alone gives a displacement of 2.5 cm and another alone gives 1.5 cm. When both arrive, the displacement is:

  1. 3.75 cm
  2. 2.92 cm
  3. 4 cm
  4. 1 cm

Answer: C) 4 cm

Explanation: By superposition, displacements add: 2.5 + (1.5) = 4 cm. SLO P-11-D-07 · Application

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17. Water waves from two dippers attached to the same vibrating bar are:

  1. polarized
  2. longitudinal
  3. incoherent
  4. coherent

Answer: D) coherent

Explanation: Same frequency and phase. SLO P-11-D-14 · Understanding

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18. Noise-cancelling headphones are an application of:

  1. the principle of superposition
  2. polarization
  3. the Doppler effect
  4. total internal reflection

Answer: A) the principle of superposition

Explanation: Destructive interference. SLO P-11-D-09 · Understanding

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19. For the same string (length 1 m, wave speed 100 m/s), the frequency of the third harmonic is:

  1. 150 Hz
  2. 200 Hz
  3. 50 Hz
  4. 100 Hz

Answer: A) 150 Hz

Explanation: f3 = 3f1 = 3 50 = 150 Hz. SLO P-11-D-12 · Understanding

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20. Musicians tune their instruments using beats by:

  1. playing louder
  2. ignoring the beats
  3. adjusting until the beats slow down and disappear
  4. making the beats faster

Answer: C) adjusting until the beats slow down and disappear

Explanation: Zero beats means equal frequencies. SLO P-11-D-16 · Application

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21. For destructive interference, the phase difference is:

  1. 0, 2pi, 4pi, ldots
  2. pi2
  3. pi, 3pi, 5pi, ldots
  4. 2pi

Answer: C) pi, 3pi, 5pi, ldots

Explanation: Odd multiples of pi. SLO P-11-D-08 · Understanding

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22. Each piano key in the middle range has two or three strings. A 'chorus' or 'wavering' sound occurs when:

  1. the key is not pressed
  2. these strings are slightly out of tune, producing beats
  3. they are perfectly in tune
  4. the piano is in a vacuum

Answer: B) these strings are slightly out of tune, producing beats

Explanation: Small frequency differences. SLO P-11-D-16 · Application

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23. Diffraction does NOT change:

  1. the frequency of the waves
  2. the shape of the wavefronts
  3. the direction of the waves
  4. the region the waves reach

Answer: A) the frequency of the waves

Explanation: Only direction/spreading changes. SLO P-11-D-13 · Understanding

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24. A laser is a good source for interference experiments because its light is:

  1. polarized only
  2. longitudinal
  3. very hot
  4. highly coherent and monochromatic

Answer: D) highly coherent and monochromatic

Explanation: Constant phase over long distances. SLO P-11-D-14 · Understanding

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25. If the phase difference between two sources changes randomly, the interference pattern:

  1. becomes brighter
  2. changes so fast that no steady pattern is seen
  3. is unaffected
  4. becomes sharper

Answer: B) changes so fast that no steady pattern is seen

Explanation: Average intensity becomes uniform. SLO P-11-D-14 · Understanding

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