The speed of sound in a gas is 500 m/s. Two sound waves progressing simultaneously through this gas produce 5 beats/sec. If the wavelength of one of them is 2.5 m, then the wavelength of the other will be

Options

A. 2.44 m
B. 2.56 m
C. either 2.44 m or 2.56 m
D. 3.5 m

Answer

C

Explanation

For A, `n_(1) = (500)/(2.5) = 200 Hz`
For B, the frquency may be 205 Hz or 195 Hz
`:.` The wavelength of B may be `(500)/(205) or (500)/(195)`
i.e, 2.44 m or 2.56 m