Question

# A tuning fork A of unknown frequency produces 4 beats per second when sounded with another tuning fork B of frequency 254 Hz. When tuning fork A is loaded with wax, it still gives 4 beats per second with tuning fork A. The initial unknown frequency of tuning fork A is

A
258 Hz
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B
254 Hz
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C
250 Hz
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D
262 Hz
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Solution

## The correct option is A 258 HzGiven, fb=4 Hz We know, beat frequency fb=|f1−f2| ⇒f2=f1±fb Frequency of tuning fork B, f1=254 Hz ⇒f2=254±4 Hz So, frequency of tuning fork A can be, f2=250 Hz or 258 Hz As the tuning fork A is loaded with wax, therefore its time period should increase and frequency should decrease. So, by intuition, the initial frequency should be 258 Hz which will decrease to 250 Hz when loaded with wax.

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