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NEET 2020 (Phase 1) · Beats

Beats question from NEET 2020 (Phase 1)

Q55NEET 2020 · PHASE 1Easy

Beats

In a guitar, two strings A and B made of same material are slightly out of tune and produce beats of frequency 6 Hz. When tension in B is slightly decreased, the beat frequency increases. If the frequency of A is 530 Hz, the original frequency of B will be:

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Answer: (a)

$f_B = 530 \pm 6 = 536$ or $524\text{ Hz}$ .
Decreasing tension lowers $f_B$ ( $f \propto \sqrt{T}$ ), and the beats increase.
Beats increase only if $f_B$ moves away from 530, so $f_B < 530$ .
So the answer is (a) 524 Hz.

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