mathematically speaking, the energy of a wave is directionally proportional to the square of the amplitude…

mathematically speaking, the energy of a wave is directionally proportional to the square of the amplitude of the wave. calculate the energy of a wave that has an amplitude of 4 units.\na 1.0\nb 2.0\nc 4.0\nd 16.0

mathematically speaking, the energy of a wave is directionally proportional to the square of the amplitude of the wave. calculate the energy of a wave that has an amplitude of 4 units.\na 1.0\nb 2.0\nc 4.0\nd 16.0

Answer

Explanation:

Step1: Set up the proportionality formula

Let $E$ be the energy and $A$ be the amplitude. The relationship is $E = kA^{2}$ (where $k$ is a constant of proportionality. Since we are only interested in the relative value and can assume $k = 1$ for the purpose of this calculation).

Step2: Substitute the given amplitude

Given $A = 4$. Substitute into the formula $E=A^{2}$, so $E = 4^{2}$.

Step3: Calculate the energy

$E=16$.

Answer:

D. 16.0