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Alex_Xolod [135]
2 years ago
8

If the velocity and frequency of a wave are both doubled, how does the wavelength change?

Physics
2 answers:
irina [24]2 years ago
8 0

Answer:

the wavelength increases

Explanation:

Sindrei [870]2 years ago
5 0

The wavelength will remain unchanged.

Explanation:

The velocity v of a wave in terms of its wavelength \lambda and frequency \nu is

v = \lambda\nu (1)

so if we double both the velocity and the frequency, the equation above becomes

2v = \lambda(2\nu) (2)

Solving for the wavelength from Eqn(2), we get

\lambda = \dfrac{2v}{2\nu} = \dfrac{v}{\nu}

We would have gotten the same result had we used Eqn(1) instead.

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