Question:
An observer on sea-coast counts 45 waves in one minute. If the wavelength of the waves is 7 m , then the velocity of the waves will be
An observer on sea-coast counts 45 waves in one minute. If the wavelength of the waves is 7 m , then the velocity of the waves will be
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Wave speed is frequency times wavelength.
Updated On: Nov 13, 2026
- \(4.75\text{ }\mathrm{m}/\mathrm{s}\)
- \(5.25\text{ }\mathrm{m}/\mathrm{s}\)
- \(7.5\text{ }\mathrm{m}/\mathrm{s}\)
- \(8.65\text{ }\mathrm{m}/\mathrm{s}\)
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The Correct Option is B
Solution and Explanation
Step 1: Understanding the Concept
Velocity \(v=f\lambda\).
Step 2: Frequency
\(f=\dfrac{45}{60}=0.75\text{ Hz}\)
Step 3: Calculation
\(v=0.75\times7=5.25\text{ m/s}\), option (B).
Final Answer:
The wave velocity is 5.25 m/s. \[ \boxed{\text{(B) }5.25\ \text{m/s}} \]
Velocity \(v=f\lambda\).
Step 2: Frequency
\(f=\dfrac{45}{60}=0.75\text{ Hz}\)
Step 3: Calculation
\(v=0.75\times7=5.25\text{ m/s}\), option (B).
Final Answer:
The wave velocity is 5.25 m/s. \[ \boxed{\text{(B) }5.25\ \text{m/s}} \]
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