Physics Waves SZABMU 2023
PMDC Verified Question 33 of 125
The speed of sound in air is \( 332 \text{ ms}^{-1} \) at 0°C. what will be its value at 10°C.
A
\( 332 \text{ ms}^{-1} \)
B
\( 338.1 \text{ ms}^{-1} \)
C
\( 332.61 \text{ ms}^{-1} \)
D
\( 334.1 \text{ ms}^{-1} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option B: \( 338.1 \text{ ms}^{-1} \)
Concept:

The velocity of sound in a gas increases linearly with temperature over small ranges.

Formula:

$$ v_t = v_0 + 0.61t $$

Solution:

  • We know the speed at \( 0^\circ\text{C} \) is \( v_0 = 332 \text{ m/s} \).


  • The temperature rise is \( t = 10^\circ\text{C} \).


  • Calculate the increment: \( 0.61 \times 10 = 6.1 \text{ m/s} \).


  • Add this to the baseline speed: \( v_{10} = 332 + 6.1 = 338.1 \text{ ms}^{-1} \).


Why other options are incorrect:

Option C assumes the increment is 0.61 total, ignoring the multiplier of 10 degrees. Option A assumes no change. Option D is mathematically arbitrary.

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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