Physics Waves SZABMU 2024
PMDC Verified Question 2 of 125
By increasing the temperature of medium about \( 1 ^\circ\text{C} \), the speed of sound is increased up to
A
\( 0.41 \text{ ms}^{-1} \)
B
\( 0.51 \text{ ms}^{-1} \)
C
\( 0.61 \text{ ms}^{-1} \)
D
\( 0.71 \text{ ms}^{-1} \)
Tap any option to test your recall and reveal the step-by-step Propolis autopsy.

Propolis Cognitive Error Autopsy

Official Correct Choice:
Option C: \( 0.61 \text{ ms}^{-1} \)
Concept:

Temperature directly increases the kinetic activity of gas molecules, allowing sound pressure waves to transmit faster.

Formula:

$$ v_t \approx v_0 + 0.61t $$

Solution:

  • The empirical and theoretically derived formula shows a linear dependency near standard room temperatures.


  • The constant coefficient reveals that for every single degree Celsius (\( 1 ^\circ\text{C} \)) rise in temperature, the speed of sound in air increases by exactly \( 0.61 \text{ m/s} \).


Why other options are incorrect:

Options A, B, and D provide completely incorrect mathematical constants for standard air mixtures.

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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