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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 ...?

2 Answers

5 votes

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\\

User Aystub
by
7.7k points
4 votes
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)
User Deadron
by
8.6k points

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