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: silence a higher octave a pleasant wavering (beats) effect 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: 6 m/s 24 m/s 12 m/s 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: coherent sources incoherent sources sources of light 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: 2 s 4 s 0.5 s 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: nlambda lambda4 (n + tfrac12)lambda 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: 0.9 m 0.45 m 1.0 m 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: microwaves passing through glass microwaves absorbed by water two different transmitters 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: diffraction combined with interference from many slits reflection only the Doppler effect 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: quadruples halves stays the same 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: diffraction only destructive interference constructive interference 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: ends antinodes centre only 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: are polarized travel in opposite directions have different speeds 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: 880 Hz 440 Hz 439 Hz 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: 256 Hz 263 Hz 251 Hz 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: anti-noise waves sound-absorbing padding polarizers 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: 3.75 cm 2.92 cm 4 cm 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: polarized longitudinal incoherent 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: the principle of superposition polarization the Doppler effect 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: 150 Hz 200 Hz 50 Hz 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: playing louder ignoring the beats adjusting until the beats slow down and disappear 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: 0, 2pi, 4pi, ldots pi2 pi, 3pi, 5pi, ldots 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: the key is not pressed these strings are slightly out of tune, producing beats they are perfectly in tune 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: the frequency of the waves the shape of the wavefronts the direction of the waves 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: polarized only longitudinal very hot 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: becomes brighter changes so fast that no steady pattern is seen is unaffected 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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