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## Homework Statement

A wave has an amplitude a

_{1}, intensity I, and frequency f. A second wave of the same type has twice the intensity and double the frequency, find the amplitude of the second wave in terms of a

_{1}.

## Homework Equations

Using the relationship I=k a

^{2}f

^{2}, where k is a constant:

## The Attempt at a Solution

[itex]\frac{I}{a

_{1}

^{2}f

^{2}}[/itex] = [itex]\frac{2I}{a

_{2}

^{2}(0.5f)

^{2}}[/itex]

So a

_{2}= √8 a

_{1}

But according to my answer key, the answer is √2 a

_{1}