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Waves question

2013 · Q161
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Waves question

2013 · Q161

NEETPhysicsWavesMCQ+4 / −1
A source of unknown frequency gives 4 beats/s when sounded with a source of known frquency 250 Hz. The second harmonic of the source of unknown frequency gives five beats per second, when sounded with a source of frequency 513 Hz. The unknown frequency is
  1. A
    240 Hz
  2. B
    260 Hz
  3. C
    254 Hz
  4. D
    246 Hz
View written solutionFree

Correct answer: C

Let υ\upsilon υ be frequency of the unknown source. As it gives 4 beats per second when sounded with a source of frequency 250 Hz,

∴υ=250±4=246 Hz or 254 Hz \therefore \upsilon = 250 \pm 4 = 246\,Hz\,or\,254\,Hz∴υ=250±4=246Hzor254Hz

Second harmonic of this unknown source = 492 Hz or 508 Hz which gives 5 beats per second, when sounded with a source of frequency 513 Hz.

Therefore unknown frequency, υ\upsilon υ = 254 Hz.

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