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Standard IX

Physics

Frequency

A source of s...

Question

A source of sound with adjustable frequency produces 2 beats per second with a tuning fork when its frequency is either 476 Hz of 480 Hz. What is the frequency of the tuning fork?

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Solution

Given:
First Frequency ^$f_{1}$= 476 Hz
Second frequency $f_{2}$ = 480 Hz
Number of beats produced per second by the tuning fork m = 2

As the tuning fork produces 2 beats, its frequency should be an average of two.
This is given by:

$f = \frac{(f_{1} + f_{2})}{2} f = \frac{(476 + 480)}{2} = 478 Hz$

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A source of sound with adjustable frequency produces 2 beats per second with a tuning fork when its frequency is either 476 Hz of 480 Hz. What is the frequency of the tuning fork?

Given: First Frequency f1 = 476 Hz Second frequency f2 = 480 Hz Number of beats produced per second by the tuning fork m = 2 As the tuning fork produces 2 beats, its frequency should be an average of two. This is given by: f=f1+f22f=476+4802=478 Hz