Wave Mechanics Question 671

Question: A tuning fork of frequency 512 Hz makes 4 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per sec when the tension in the piano string is slightly increased. The frequency of the piano string before increasing the tension was

Options:

A) $ 510,Hz $

B) $ 514,Hz $

C) $ 516,Hz $

D) $ 508,Hz $

Show Answer

Answer:

Correct Answer: D

Solution:

[d] The frequency of the piano string $ =512\pm 4 $ = 516 or 508. When the tension is increased, beat frequency decreases to 2, it means that frequency of the string is 508 as frequency of string increases with tension.