A tuning fork whose frequency is given by the manufacturer as 512 Hz is being tested using an accurate oscillator.It is found that they produce 2 beats per second,when the oscillator reads 514 Hz and 6 beats per second,when it reads 510 Hz.The actual frequency of the fork is

Options

A. 506
B. 510
C. 516
D. 158

Explanation

It should be remembered that the oscillator reading is correct and the tuning fork frequency marked is wrong. When the oscillator reading is 514, two beats are heard Hence the frequency of the tuning fork is 514 `pm`2 = 516 or 512. When the oscillator reading is 510, the frequency of the tuning fork is 510 `pm` 6 = 516 or 504. The common value is 516. Hence the frequency is 516 Hz.