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Question

A wave has a frequency of 50 Hz and a speed of 36 m/s. What is the wavelength of this wave?

This question was previously asked in
RRB NTPC 2019 CBT 1 Question Paper (8-Mar-2021) (Shift 2)
The correct answer is
0.72 m

Understanding Wave Properties

The relationship between the speed, frequency, and wavelength of a wave is fundamental in physics. This problem requires calculating the wavelength using the given frequency and speed.

Key Values Given

  • Frequency ($f$): 50 Hz
  • Wave Speed ($v$): 36 m/s

Calculating Wavelength

The formula connecting wave speed ($v$), frequency ($f$), and wavelength ($\lambda$) is:

$v = f \lambda$

To find the wavelength ($\lambda$), we rearrange the formula:

$\lambda = \frac{v}{f}$

Step-by-Step Calculation

  1. Substitute the given values into the rearranged formula:

    $\lambda = \frac{36 \text{ m/s}}{50 \text{ Hz}}$

  2. Perform the division:

    $\lambda = 0.72 \text{ m}$

Result

The calculated wavelength of the wave is 0.72 meters.

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