Question

With which of the following frequencies does a tuning fork of $256Hz$ resonate ? $288Hz,314Hz,333Hz,512Hz.$

Answer 1

1. A tuning fork resonates at a constant pitch when set vibrating by striking it against a solid surface or wall or with an object and emits a pure musical tone once the high overtones fade out.
2. A tuning fork of $256Hz$ itself says what the fundamental frequency of vibration of the fork is $256Hz$.
3. Now, the resonance will occur when the fork vibrates with a frequency equal to the fundamental frequency or a frequency that is multiple of the fundamental frequency.
4. Here is from the given options, the multiple of $256Hz$ is $512Hz$ Hence, the fork will resonate with a frequency of $512Hz$.

Hence, a fork will resonate with the frequency of $512Hz$.