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## Homework Statement

Two identical but separate strings, with the same tension, carry sinusoidal waves with the same amplitude. Wave A has a frequency that is twice that of wave B and transmits energy at a rate that is ____ that of wave B.

A) half

B) twice

C) one fourth

D) four times

E) eight times

## Homework Equations

[tex]P = \frac{1}{2}\mu\omega^{2}A^{2}v[/tex]

[tex]v = \lambda[/tex][tex]f[/tex]

## The Attempt at a Solution

[tex]V_{B} = \lambda[/tex][tex]f_{B}[/tex]

[tex]V_{A} = \lambda[/tex][tex](2f_{B})[/tex] = [tex]2V_{B}[/tex]

[tex]P_{B} = \frac{1}{2}\mu\omega^{2}A^{2}v_{B}[/tex]

[tex]P_{A} = \frac{1}{2}\mu\omega^{2}A^{2}2v_{B}[/tex] = [tex]2P_{B}[/tex]

Thus my answer is B.

However, the answer key says D. What did I do wrong?