Question

Two similar waves X and Y travel through the same medium. Wave X has a frequency of 200 hertz and a

wavelength of 35 meters. Wave Y has a frequency of 700 hertz. What is the wavelength for wave Y? (1 poir
A)10 meters
B)122.5 meters
C) 4,900,000 meters
D)0.1 meter

Answer 1

The correct solution is option A "10 meters".

Step-by-step explanation:

The given values are:

Wave X,

Frequency,

`F_x=200 \ H_z`

Wavelength

`\lambda_x=35 \ m`

Wave Y,

Frequency,

`F_y=700 \ Hz`

Let its wavelength =
`\lambda_y`

As we know,

⇒
`v=f \lambda`

For both waves, medium is same then

⇒
`v_x=v_y`

⇒
`f_x \lambda_x=f_y \lambda_y`

then,

⇒
`\lambda_y=(f_x \lambda_x)/(f_y)`

On substituting the estimated values in the above equation, we get

⇒
`=(200* 35)/(700)`

⇒
`=(7000)/(700)`

⇒
`=10 \ m`