An unknown tuning fork sounded together with a tuning fork of frequency $256\text{ Hz}$ emits two beats. On…

An unknown tuning fork sounded together with a tuning fork of frequency $256\text{ Hz}$ emits two beats. On loading tuning fork of frequency $256\text{ Hz}$, the number of beats heard is 1 per second. The frequency of unknown tuning fork (in Hz) is
  1. 257
  2. 258
  3. 256
  4. 254

Solution

Frequency of unknown tuning fork can be $258\text{ Hz}$ or $254\text{ Hz}$. On loading the given tuning fork, its frequency will decrease. Let it becomes $255\text{ Hz}$. With $254\text{ Hz}$, beat frequency is $1\text{ Hz}$ which is given. Hence, frequency of unknown tuning fork is $254\text{ Hz}$.

Practice more Waves and Sound questions on Aicharya