Answer to Question #126132 in Physics for Sanket Singh

Question

to determine number of beats for different set frequencies and verify result with beats= n1-n2

Answer 1

The frequency of beats (also called beat frequency) can be expressed as difference in frequency of two notes that produce a beat when interfere with each other.

Assume that the frequencies we have are 300 and 301 Hz. The beat frequency is

$$f_b=301-300=1\text{ Hz}.$$

1 Hz means one beat per second. For time t, the number of beats will be

$$n=f_bt.$$

For another set of frequencies, the number of beats will be

$$n_i=(f_{i+1}-f_i)t=f_{bi}t.$$