Question

# A tuning fork of known frequency 256Hz makes 5 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per second when the tension in the piano string is slightly increase. The frequency of the piano string before increasing the tension was:

A
(256+2) Hz
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B
(256-2) Hz
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C
(256-5) Hz
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D
(256+5) Hz
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Solution

## The correct option is A (256-5) HzGiven : A tuning fork of known frequency 256Hz makes 5 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per second when the tension in the piano string is slightly increase. The frequency of the piano string before increasing the tension was:Solution : Frequency of Piano = (256±5)HzWe know that F=Vλ and V=√Tμ where T is TensionWhen T ↑ then F ↑ And Beat frequency deacreases this can happen only when Piano frequency is (256 - 5)HzThe Correct Opt : C

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