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

Respuesta :

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

[tex]= \frac{1}{2} M(w^2 *A^2*\frac{1}{2})\\[/tex]

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

thus,

[tex]\frac{E1}{E2} = \frac{A1^2}{A2^2} \\\frac{3}{E2} = \frac{2^2}{4^2} \\E2 = 12 units\\[/tex]

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