A tuning fork when sounded with tuning fork of frequency 256 produces `4 beats//sec` and when sounded with another of frequency 250 produces `2 beats//sec` . The frequency of the fork is -

Options

A. 516 Hz
B. 510 Hz
C. 514 Hz
D. 520 Hz

Answer

A

Explanation

`f_1 - 514 = 2 ..... a " " 514 - f_1 = 2 .....b`
`f_1 - 510 = 6....c, " " 510 - f_1 = 6....d`
If eq. a is correct eq. c gives satisfied reason is `f_1 = 510 + 6 = 516`
And eq. d does not given satisfactory reason.
support eq. b is true so `f_1 = 512`, therefore eq. c and d. does not satisfy `f_1 = 512`
Hence frequency of for = 516 Hz .