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Question

A chord attached to a vibrating form divides it into 6 loops, when its tension is 36N. The tension at which it will vibrate in 4 loops is

A
24N
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B
36N
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C
64N
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D
81N
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Solution

The correct option is C 81N
Frequencies are same in both the cases. Frequency f=n2L((T/m)), n = number of loops, T = tension
f=f
=> 62L((36/m))=42L((T/m))
T=81N

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