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

Answer:

The correct solution is option A "10 meters".

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,

⇒  $\lambda_y=\frac{f_x \lambda_x}{f_y}$

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

⇒      $=\frac{200\times 35}{700}$

⇒      $=\frac{7000}{700}$

⇒      $=10 \ m$