If amplitude doubles, power increases by what factor?

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Multiple Choice

If amplitude doubles, power increases by what factor?

Explanation:
Power in a simple wave system scales with the square of the amplitude. If the amplitude doubles to 2A, the power becomes proportional to (2A)^2 = 4A^2, which is four times the original power. So the power increases by a factor of four. Doubling the amplitude doesn’t just double the power or leave it unchanged; the square relationship makes it quadruple.

Power in a simple wave system scales with the square of the amplitude. If the amplitude doubles to 2A, the power becomes proportional to (2A)^2 = 4A^2, which is four times the original power. So the power increases by a factor of four. Doubling the amplitude doesn’t just double the power or leave it unchanged; the square relationship makes it quadruple.

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