MP Board · Class 11 · Physics · WavesWhat is the effect of pressure change on the speed of sound in an ideal gas at a constant temperature?
Step-by-Step Solution
Correct Option: Remains unchanged \nAt constant temperature, by Boyle's law, $\frac{P}{\rho} = \text{constant}$. Since $v = \sqrt{\frac{\gamma P}{\rho}}$, speed of sound is independent of pressure changes at constant temperature.
Detailed Options Breakdown
Option : Increases with increase in pressure
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Waves.
Option 1: Decreases with increase in pressure
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Waves.
Option 2: Remains unchanged (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 3: First increases then decreases
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Waves.
💡 Study Guide: This question tests core syllabus concepts from Waves. For formulas, key summaries, and mock exam reference guides, read the full Waves Revision Notes.