CBSE · Class 11 · Physics · WavesAccording to Laplace's correction, the speed of sound in an ideal gas is given by which formula?
Step-by-Step Solution
Correct Option: $v = \sqrt{\frac{\gamma P}{\rho}}$ \nLaplace corrected Newton's formula by assuming that sound propagation in a gas is an adiabatic process, giving $v = \sqrt{\frac{\gamma P}{\rho}}$, where $\gamma$ is the ratio of specific heats.
Detailed Options Breakdown
Option : $v = \sqrt{\frac{P}{\rho}}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Waves.
Option 1: $v = \sqrt{\frac{\gamma P}{\rho}}$ (Correct Answer)
Correct choice. Refer to the step-by-step verified solution guidelines above for details.
Option 2: $v = \sqrt{\frac{\gamma \rho}{P}}$
Incorrect choice. This distractor represents a common misunderstanding of the core principles of Waves.
Option 3: $v = \frac{\gamma P}{\rho}$
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.