Physics Waves UHS 2023
PMDC Verified Question 28 of 125
An observer standing near the sea shore observes 54 waves per minute. If the wavelength of the water wave is 10m then the velocity of water wave is:
A
540 m/s
B
9 m/s
C
5.4 m/s
D
None
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: 9 m/s
Concept:

Wave speed is the product of frequency (in standard Hz, or cycles per second) and wavelength.

Formula:

$$ v = f \lambda $$

Solution:

  • First, convert the wave rate from "per minute" to standard frequency (Hz):
    \( f = \frac{54 \text{ waves}}{60 \text{ seconds}} = 0.9 \text{ Hz} \).


  • The wavelength is given as \( \lambda = 10 \text{ m} \).


  • Calculate the velocity: \( v = 0.9 \times 10 = 9 \text{ m/s} \).


Why other options are incorrect:

Option A (540) comes from wrongly multiplying 54 directly by 10 without converting minutes to seconds. Option C (5.4) comes from dividing 54 by 10.

Quality & Fidelity Assurance: Every question on BeambePrep is rigorously curated against the official PMDC syllabus with zero filler, zero out-of-syllabus content, and zero typos. When an authentic past paper originally contained a historical mistake or ambiguity from the examining board (such as UHS or NUMS), BeambePrep faithfully reflects the original paper while detailing the nuance and scientific consensus in the autopsy above.

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