When a tuning fork vibrates with 1.0 m or 1.05 m long wire (both in same mode), 5 beats per second are produced in each case. If the frequency of the tuning fork is 5f (in Hz) find f.
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Let frequency of tuning fork = f
frequency of wave in wire = 
when λ = 1 m
f 1 = 
when λ = 1.05 m
f 2 = 
f 1 – f = 5 and f – f 2 = 5 ⇒ 
⇒ 
= 10
or v = 
= 420 m/s.
f 1 = 
= 210 Hz.
f = f 1 – 5 = 205 Hz.
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