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Q.

A tuning fork of frequency 100 when sounded together with another tuning fork of unknown frequency produces 2 beats per second. On loading the tuning fork whose frequency is not known and sounded together with a tuning fork of frequency 100 produces one beat, then the frequency of the other tuning fork is

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a

102

b

98

c

99

d

101

answer is A.

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Detailed Solution

Suppose nA = known frequency = 100 Hz, nB = ?x = 2 = Beat frequency, which is decreasing after loading (i.e. x↓) Unknown tuning fork is loaded so nB↓ Hence nA – nB ↓ = x↓        ... (i)        →       Wrong            nB ↓ – nA = x↓       ... (ii)        →       Correct⇒ nB = nA + x = 100 + 2 = 102 Hz.
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