Whe two sound sources of the same amplitude but of slightly different frequencies `upsilon_(1) and upsilon_(2)` are sounded simultaneously, the sound one hears has a frequency equal to

Options

A. `|upsilon_(1)-upsilon_(2)|`
B. `[(upsilon_(1)+upsilon_(2))/(2)]`
C. `sqrt(upsilon_(1)upsilon_(2))`
D. `[upsilon_(1)+upsilon_(2)]`

Answer

D

Explanation

The resulting sound wave has a frequency equal to half the sum of the individual frequencies. Note that the resulting intensity varies at the beat frequency equal to difference of the individual frequencies.