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…

Question

asked Dec 11, 2017 62.1k views

2 Answers

Aystub · Answer 1 · 2017-12-11T17:36:33+0000

Answer:

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,

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

Deadron · Answer 2 · 2017-12-18T06:50:56+0000

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)