The frequency of transverse vibration on...

The frequency of transverse vibration on a stretched string is 150 Hz. If the tension is increases four times and length is reduced to one fourth of its original value, the frequency of vibration will be

75 Hz

300 Hz

1200 Hz

1800 Hz

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The correct Answer is:

`n_(2)/n_(1) = L_(1)/L_(2) sqrt(T_(2)/T_(1)) = 4 sqrt4 = 8 `
` n_(2) = 150 xx 8 = 1200 `Hz

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