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Question

In an experiment it was found that when a sonometer in its fundamental mode of vibration and a tuning fork gave 5 beats when length of wire is 1.05 metre or 1 metre. The velocity of transverse waves in sonometer wire when its length is 1m

A
400m/s
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B
210m/s
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C
420m/s
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D
450m/s
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Solution

The correct option is C 420m/s
δs1δs2=2×beat
=2×5
=10
δ=v2l
v2l112(1.05)=10
v(12(1)12(1.05))=10
v=10×2×1×1.050.05 =420 m/s

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