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Practice question

Question

Two waves of frequencies 496 Hz and 502 Hz interfere. How many beats are heard in 10 seconds?

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Choose one · Correct answer highlighted

Explanation

**Beat formation** is interference in time with time-varying amplitude. Frequencies close together generate slow modulation, count in given duration obtained by multiplying beat frequency by duration, e.g., 6 Hz × 5 s = 30 beats. Beat frequency: vbₑₐt = 502 - 496 = 6 Hz . Beats in 10 s: 6 × 10 = 60 . Using v = fλ and standing-wave condition fₙ = n v/(2L) or v/(4L) as applicable, calculation yields 60, illustrating frequency-length-speed interdependence and quantization by boundaries.

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