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String Fixed at Both Ends

A tuning fork...

Question

A tuning fork of frequency 480 Hz is used to vibrate a sonometer wire having natural frequency 410 Hz. The wire will vibrate with a frequency
(a) 410 Hz
(b) 480 Hz
(c) 820 Hz
(d) 960 Hz.

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Solution

(b) 480 Hz

The frequency of vibration of a sonometer wire is the same as that of a fork. If this happens to be the natural frequency of the wire, standing waves with large amplitude are set in it.

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