Two tuning forks A and B produce 10 beats per second. Fork A is known to have frequency 450 Hz. Wax is added only to fork A, lowering its frequency by 6 Hz, and the beat frequency becomes 16 beats per second. If the frequency of fork B is N Hz, find N.
Physics · Wave Motion · beat and properties of sound
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Question

Two tuning forks A and B produce 10 beats per second. Fork A is known to have frequency 450 Hz. Wax is added only to fork A, lowering its frequency by 6 Hz, and the beat frequency becomes 16 beats per second. If the frequency of fork B is N Hz, find N.

Physics · Wave Motion · beat and properties of sound

G1 Physics · Accepted Answer

Initially, |450−f₂| = 10. Therefore, f₂ = 440 Hz or 460 Hz. After adding wax to A, f₁(new) = 450−6 = 444 Hz. The new beat frequency is 16 Hz. If f₂ = 460 Hz, then |460−444| = 16 Hz. If f₂ = 440 Hz, then |440−444| = 4 Hz. Therefore, N = 460.