A tuning fork arrangement (pair) produces 4 beats/sec with one fork of frequency 288 cps

A tuning fork arrangement (pair) produces 4 beats/sec with one fork of frequency 288 cps. A little wax is placed on the unknown fork and it then produces 2 beats/sec. The frequency of the unknown fork is

  1. 286 cps
  2. 288 cps
  3. 292 cps
  4. 294 cps

Answer

An unknown tuning fork is producing is producing 4 beats/sec with the fork of frequency 288 cps. This means that their frequencies differ by 4. The unknown fork might have frequency either 284 cps or 292 cps.

On the application of wax, the number of beats reduce to 2 per second which means they differ only by 2 and it is only possible when the unknown fork has a greater frequency.

The correct option is C.