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String Fixed at Both Ends

A tuning fork...

Question

A tuning fork of frequency 480 Hz produces 10 beats per sec, when sounded with a vibrating sonometer string. What must be frequency of the string if a slight increase in tension produces more beats per sec than before?

A

460 Hz

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B

470 Hz

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C

480 Hz

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D

490 Hz

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Solution

The correct option is D 490 Hz
Frequency of string may be 470 Hz or 490 Hz. With increase in tension, frequency of string will increase. If initially it is 470 Hz, beat frequency with given tuning fork will decrease. If it is 490 Hz, beat frequency will increase.

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