Question:
The frequency of a wave is 50 Hz, and its wavelength is 2 m. What is the speed of the wave?
The frequency of a wave is 50 Hz, and its wavelength is 2 m. What is the speed of the wave?
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The speed of a wave is the product of its frequency and wavelength. Ensure that both quantities are in the correct units when calculating the speed.
Updated On: Apr 15, 2025
- \( 25 \, \text{m/s} \)
- \( 100 \, \text{m/s} \)
- \( 50 \, \text{m/s} \)
- \( 75 \, \text{m/s} \)
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The Correct Option is B
Solution and Explanation
The speed of a wave is related to its frequency and wavelength by the formula:
\[
v = f \lambda
\]
Where:
- \( v \) is the speed of the wave,
- \( f = 50 \, \text{Hz} \) is the frequency,
- \( \lambda = 2 \, \text{m} \) is the wavelength.
Substituting the values:
\[
v = 50 \times 2 = 100 \, \text{m/s}
\]
Thus, the speed of the wave is \( 100 \, \text{m/s} \).
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