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  4. A sonometer wire of length l vibrates in fundamental mode when excited by a tuning fork of frequency 416 Hz. If the length is doubled keeping other things same, the string will

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Q. A sonometer wire of length $l$ vibrates in fundamental mode when excited by a tuning fork of frequency $416\,Hz$. If the length is doubled keeping other things same, the string will

Waves

Solution:

In both cases, the 'applied frequency' is same. So, the frequency of vibration has to be same. However, the mode of vibration of the string be different.