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Q.

A tuning fork of frequency 340 Hz produces 5 beats per second with a sonometer wire. If the tension is slightly increased the number of beats becomes 4. The frequency of sonometer wire is

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a

335 Hz

b

345 Hz

c

330 Hz

d

350 Hz

answer is A.

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Detailed Solution

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nA = 340 Hz  ; n = 5 b/s 

nsonometer = (increased)m = 4  ; m < n

⇒nsonomter < nA
So, ns = nA - n = 340 - 5 = 335 Hz

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A tuning fork of frequency 340 Hz produces 5 beats per second with a sonometer wire. If the tension is slightly increased the number of beats becomes 4. The frequency of sonometer wire is