Question

The rate of transfer of energy in a wave depends

• A. directly on the square of the wave amplitude and square of the wave frequency
• B. directly on the square of the wave amplitude and square root of the wave frequency
• C. directly on the wave frequency and square of the wave amplitude
• D. directly on the wave amplitude and square of the wave frequency

Answer 1

The correct option is A directly on the square of the wave amplitude and square of the wave frequency

Rate of Transfer of Energy means the Power of the Wave.

Formuka for Power of the Wave is, $P=1/2\ast {\omega }^2{A}^{2}v\mu$ ,where $w$ is the wave frequency, $A$ is the Amplitude, $v$ is the speed and $\mu$ is the mass per unit length of the wave.

Hence, $P\propto {\omega }^2$ and $P\propto A^2$

Hence, option A is correct.