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Question: A tuning fork and a sonometer wire were sounded together and produce 4 beats per second. When the le...

A tuning fork and a sonometer wire were sounded together and produce 4 beats per second. When the length of sonometer wire is 95 cm or 100 cm, the frequency of the tuning fork is-

A

156 Hz

B

152 Hz

C

148 Hz

D

160 Hz

Answer

156 Hz

Explanation

Solution

v µ 1l\frac{1}{\mathcal{l}} Ž ν2ν1\frac{\nu_{2}}{\nu_{1}} = l95l100\frac{\mathcal{l}_{95}}{\mathcal{l}_{100}}

ν4ν+4\frac{\nu - 4}{\nu + 4} = 95100\frac{95}{100} Ž v = 156 Hz