Answer to Question #103001 in Physics for Nyx

Question

Two waves have the same speed. The first has
twice the frequency of the second.
Compare the wavelengths of the two waves.
1. The first has half the wavelength of the
second.
2. The second has square root two times the
wavelength of the first.
3. The first has twice the wavelength of the
second.
4. The second has half the wavelength of the first.
5. The have the same wavelength.

Answer 1

$$v_1=v_2=v$$

$$v=\lambda_1f_1=\lambda_2f_2$$

$$\lambda_1(2f_2)=\lambda_2f_2$$

$$\lambda_1=0.5\lambda_2$$

Answer: 1. The first has half the wavelength of the second.