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Question

A vibrating string produces 2 beats per second when sounded together with a tuning fork of frequency 256Hz. On increasing the tension in the string the beats produced per second are 3. The initial frequency of the string may have been:

A
253Hz
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B
254Hz
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C
258Hz
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D
259Hz
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Solution

The correct option is C 258Hz
As initially beat was 2, the frequency of the string could have been either 258 or 254 Hz.
However, as on increasing the tension in the string, beats increases and also Increase in tension will causes frequency to increase, the initial frequency of the string was greater than that of the tuning fork.
So, initial frequency of the string =258 Hz

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