A tunig fork whose frequency as given by mufacturer is `512 Hz` is being tested with an accurate oscillator it is found that the fork produces a beat of 2 Hz when oscillator reads 514 Hz but produces a beat of 6 Hz when oscillator reads 510 Hz. The actual frequency of fork is

Options

A. `508`
B. `512`
C. `516`
D. `518`

Answer

C

Explanation

For ` 1st` reading of oscillator
`f_(A) = (514 +- 2) Hz`
`f_(A) = 516 Hz or 512 Hz`
For ` 2 nd` reading of oscillator
` f_(A) = (510 +- 6) Hz`
`f_(A) = 516 Hz or 504 Hz`
As a frequency `516 Hz`.