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A tuning fork produces 4 beats/s when sounded with a tuning fork of frequency 512Hz. The same tuning fork, when sounded with a another tuning fork of frequency 514Hz, produces 6 beats/s. Find the frequency of the tuning fork.

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A tuning fork produces 4 beats/s when sounded with a tuning fork of frequency 512Hz. The same tuning fork, when sounded with a another tuning fork of frequency 514Hz, produces 6 beats/s. Find the frequency of the tuning fork.

(a) 500Hz

(b) 1000Hz

(c) 128Hz

(d) 508Hz

The question was asked during a job interview.

My doubt is from Reverberation topic in division Waves of Engineering Physics I

1 Answer

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Right choice is (d) 508Hz

Easiest explanation: Let the frequency of tuning fork = v

 The fork produces 4 beats/s with a tuning fork of frequency 512Hz

Therefore, v = 512±4 = 516Hz or 508Hz

The fork also produces 6 beats/s with a tuning fork of frequency 514Hz

Therefore, v = 514±6 = 520Hz or 508Hz

508Hz is common in both cases. Therefore, the frequency of the tuning fork is 508Hz.

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