Topic: Beats· Oscillations and Waves

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 to 7 Hz. If the frequency of A is 530 Hz, the original frequenc…

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 to 7 Hz. If the frequency of A is 530 Hz, the original frequency of B will be :

1. 523 Hz

2. 524 Hz

3. 536 Hz

4. 537 Hz

Doubtly Asked 30 Oct 2026 NEET UG 2020 Practice test neet Save WhatsApp Report

1 answer

Best answer

Answer: 2. 524 Hz

Frequency of a string $f\propto\sqrt{T}$. Decreasing tension of B lowers its frequency.

Beat frequency was 6 Hz and rose to 7 Hz after B's frequency fell. That means B was below A, so the gap widened.

$$f_B=530-6=524\ \text{Hz}$$

If B were above A (536 Hz), lowering it would reduce the beats. So option 2.

Doubtly AI · 30 Oct 2026 AI-generated · not yet verified Report

Was this answer helpful?

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 to 7 Hz. If the frequency of A is 530 Hz, the original frequenc…

1 answer

Your answer