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

Answer

C

Explanation

The tuning fork whose frequency is being tested produces 2 beats with oscillator at `514 Hz`, therefore, frequency of tuning fork may either be `512` or `516`. with oscillator frequency of tuning fork may be either `516` or `504`.
Therefore the actual frequency is 516 Hz which gives `2beats//sec` with 514 and `6 beats//sec` with `510 Hz`.