Question

Two waves on identical strings have frequencies in a ratio of 2 to 1. If their wave speeds are the same, then how do their wavelengths compare?

Answer 1

Answer: λ1=λ2/2 (ν1= 2*ν2)

Explanation: In order to explain this problem we have to use following  expression for waves.

v=λ*ν ; v is the wave speed. λ and ν are the wavelength and frequency of the wave, respectively.

we have two waves where ν1= 2*ν2 then as the speed is the same for both waves, we have,

λ1*ν1=λ2*ν2  with ν1= 2*ν2 then

λ1=λ2*ν2/v1=λ2*ν2/(2*ν2)= λ2/2

λ1=λ2/2