Wave #1 has frequency f₁ and wavelength λ₁.Wave #2 has frequency f₂ = 6 f₁ and wavelength λ₂ = 2λ₁.How does the speed v₂ of wave #2 compare with the speed v₁ of wave #1? A)v₂ = 12v₁ B)v₂ = 6v₁ C)v₂ = 1.5v₁ D)v₂ = v₁/6

Question

Quizplus · Accepted Answer

The speed of a wave is given by the product of its frequency and wavelength. Therefore, the speed of wave #2 is v₂ = f₂λ₂ = (6f₁)(2λ₁) = 12f₁λ₁. The speed of wave #1 is v₁ = f₁λ₁. Therefore, the ratio of the speeds is v₂/v₁ = (12f₁λ₁)/(f₁λ₁) = 12. Therefore, v₂ = 12v₁.

Wave #1 Has Frequency F1 and Wavelength λ1

Wave #1 Has Frequency F₁ and Wavelength λ₁