Q.

When a tuning fork A of unknown frequency is sounded with another tuning fork B of frequency 256 Hz, then 3 beats per second are observed. After that A is loaded with wax and sounded, the again 3 beats per second are observed. The frequency of the tuning fork A is

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a

250 Hz

b

253 Hz

c

259 Hz

d

262 Hz

answer is C.

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Detailed Solution

It is given that nA = Unknown frequency = ?nB = Known frequency = 256 Hzx = 3 bps, which remains same after loading Unknown tuning fork A is loaded so nA↓Hence nA↓ – nB  = x        ... (i)        →       Correct            nB  – nA↓ = x        ... (ii)       →        Wrong⇒ nA = nB + x = 256 + 3 = 259 Hz.
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When a tuning fork A of unknown frequency is sounded with another tuning fork B of frequency 256 Hz, then 3 beats per second are observed. After that A is loaded with wax and sounded, the again 3 beats per second are observed. The frequency of the tuning fork A is