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Suppose a wave carries 3 units of energy and has an amplitude value of 2. If you double the amplitude to 4, how many units of energy will the wave now carry?

A3
B6
C9
D12 ...?

Verified Answer :

syed514

Remember it is proportional to the square of the amplitude, so doubling the amplitude results in 2^2 or 4 times the energy (Ans. is D)

Answer:

The correct answer is option D

Explanation:

Wave Energy is given by

\(= \frac{1}{2} M(w^2 *A^2*\frac{1}{2})\\\)

Wave energy is directly proportional to the square of the amplitude.

thus,

\(\frac{E1}{E2} = \frac{A1^2}{A2^2} \\\frac{3}{E2} = \frac{2^2}{4^2} \\E2 = 12 units\\\)

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