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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 sono-meter wire having natural frequency 240 Hz. The wire will vibrate with a frequency of

A

240 Hz

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B

480 Hz

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C

720 Hz

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D

will not vibrate

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Solution

The correct option is B
480 Hz

This is not the case of free oscillations. This is forced oscillation where natural frequency is 240 Hz and driver frequency is 480 Hz. It vibrates with driver frequency i.e., 480 Hz, which corresponds to the second mode of vibration of the wire

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