Question

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?

A. 3
B. 6
C. 9
D. 12 ...?

Answer 1

The correct answer is option D

Step-by-step explanation:

Wave Energy is given by

`= (1)/(2) M(w^2 *A^2*(1)/(2))\\`

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

thus,

`(E1)/(E2) = (A1^2)/(A2^2) \\(3)/(E2) = (2^2)/(4^2) \\E2 = 12 units\\`

Answer 2

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)