NEET2020Physics-Waves

NEET 2020 Physics Beats MCQ Question

Type: MCQ-numerical-Medium-Class 11

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:

A

536 Hz

B

537 Hz

C

523 Hz

D

524 Hz

Correct Answer

Option D

Detailed Explanation

Beat frequency = |fA − fB| = 6 Hz. So fB = 530 + 6 = 536 Hz or fB = 530 − 6 = 524 Hz. When tension in B is decreased, frequency of B decreases. If fB were 536 Hz, decreasing it would bring it closer to 530, reducing the beat frequency. But the beat frequency increases to 7 Hz, so fB must be below fA. If fB = 524 Hz and it decreases further, |530 − fB| increases, giving 7 Hz. Therefore, the original frequency of B is 524 Hz (option D).

Found an issue with this question?