Question

A wave on a string has a wavelength of 0.90 m at a frequency of 600 Hz. If a new wave at a frequency of 300 Hz is established in this same string under the same tension, what is the new wavelength? Group of answer choices

Answer 1

λ₂ = 1.8 m

Step-by-step explanation:

given,

wavelength of the string 1 = 0.90 m

frequency of the string 1 = 600 Hz

wavelength of string 2 = ?

frequency of the string 2 = 300 Hz

we now,

`f\ \alpha\ (1)/(\lambda)`

now,

`(f_1)/(f_2)=(\lambda_2)/(\lambda_1)`

`(600)/(300)=(\lambda_2)/(0.9)`

λ₂ = 2 x 0.9

λ₂ = 1.8 m

Hence, the wavelength of the second string is equal to λ₂ = 1.8 m