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 C81N 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