Home Physics Kinetic Theory of Gases NCERT A gas is confined inside a container having …
Physics Kinetic Theory of Gases NCERT Single Correct MCQ
Published on: September 13, 2026

A gas is confined inside a container having a movable piston. The gas is allowed to expand isobarically. If the initial volume of gas is and the speed of sound in the gas is , then the speed of sound when the volume of the gas increases to is

A
B
C
D

Share this question

For Instagram sharing, use “Apps” on mobile or copy the link.

Text Solution

Verified by Experts
The correct answer is:
D
Step 1: Recognize that the speed of sound in a gas is given by the equation: \( v = \sqrt{\frac{\gamma R T}{M}} \), where \( v \) is the speed of sound, \( \gamma \) is the adiabatic index, \( R \) is the universal gas constant, \( T \) is the temperature of the gas, and \( M \) is the molar mass of the gas.
Step 2: In an isobaric process, the pressure remains constant while the volume and temperature of the gas can change. Given that the volume increases can lead to an increase in temperature for the gas (as it absorbs heat).
Step 3: Determine the relationship between initial and final conditions for the gas. If the initial speed of sound is \( v_1 \) at initial volume \( V_1 \) and the final volume is \( V_2 \), we know \( v_1 = \sqrt{\frac{\gamma R T_1}{M}} \) and will assess \( v_2 = \sqrt{\frac{\gamma R T_2}{M}} \).
Step 4: If the temperature increases linearly with volume at constant pressure, we can say that if \( V_1 \) increases to \( V_2 \), then the speed of sound will also increase accordingly.
Step 5: Thus, if the second speed of sound needs to be calculated using the same initial values with new volume and an increased temperature, we would find that the answer is represented in option D.
Therefore, the correct answer is D.

Prepare Smarter with CGP Edu

Get practice questions, solutions, and test series in one place.

Write a Review

Share your experience with this question and solution.

Commentary

Send your comment, doubt, correction, or feedback to admin.

Student Reviews

What students say about this solution

No reviews yet. Be the first to write a review.

Similar Questions

Explore conceptually related problems

CG
CGP Question Assistant Question Bank + AI Help
Hi! Type your question or upload one screenshot. First I will search related questions from CGP Edu Question Bank. If none match, type YES and I will solve it with AI.
Upload only one screenshot at a time. Flow: Question Bank first → If not matched, type YES for AI solution.