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Question: A stretched string of 1m length and mass \(5 \times 10^{- 4}kg\) is having tension of 20N. If it is ...

A stretched string of 1m length and mass 5×104kg5 \times 10^{- 4}kg is having tension of 20N. If it is plucked at 25cm from one end then it will vibrate with frequency

A

100 Hz

B

200 Hz

C

256 Hz

D

400 Hz

Answer

200 Hz

Explanation

Solution

As we know plucking distance from one end =l2p= \frac{l}{2p}

25=1002p25 = \frac{100}{2p}p=2p = 2. Hence frequency of vibration

n=p2lTm=22×1205×104n = \frac{p}{2l}\sqrt{\frac{T}{m}} = \frac{2}{2 \times 1}\sqrt{\frac{20}{5 \times 10^{- 4}}} = 200Hz.200Hz.