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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 Hz
x = 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