A progressive sound wave of frequency 500 Hz is travelling through air with speed 350 m/s. A compression maxima appears at a place at a given instant. The minimum time interval after which the rerefaction maxima occurs at the same point is :

Options

A. 250 s
B. `(1)/(250)` s
C. `(1)/(500) ` s
D. `(1)/(1000)` s .

Answer

D

Explanation

V = 500 Hz, u = 350 m/s
T = `(1)/(v) = (1)/(500) ` T = sec.
Time interval between compression and rare faction is t = `(T)/(2)`.
`therefore t = (1)/(2 xx 500) = (1)/(1000)` sec.
Hence the correct choice is (d).