Verified Solution • 2025–26 Session moderate

QPages 34-37: Q41: HC Verma: Concepts of Physics - Volume 2 Kinetic Theory of Gases Pages 34-37: Q41 Solution: Figure shows a cylindrical tube of cross-sectional area fitted…

Figure shows a cylindrical tube of cross-sectional area AA fitted with two frictionless pistons. The pistons are connected to each other by a metallic wire. Initially, the temperature of the gas is T0T_0 and its pressure is p0p_0 which equals the atmospheric pressure. a) What is the tension in the wire? b) What will be the tension if the temperature is increased to 2T02T_0?

Step-by-Step Verified Solution

**Answer:** (a) Tension = 0 (b) Tension = P0A2\frac{P_0 A}{2} **Step-by-Step Explanation:** (a) Initially, the gas pressure equals atmospheric pressure P0P_0. The net force on each piston is zero. So the wire tension is zero. (b) At temperature 2T02T_0 (constant volume), pressure doubles: P2=2P0P_2 = 2P_0. Force on each piston due to pressure difference: F=(P2−P0)A=P0AF = (P_2 - P_0)A = P_0 A. This force is outward on both pistons. The wire connecting them must balance these forces. By symmetry, tension in the wire T=F/2=P0A/2T = F/2 = P_0 A/2.

All Questions in this Chapter

QPage 32: Q1 QPage 32: Q2 QPage 32: Q3 QPage 32: Q4 QPage 32: Q5 QPage 32: Q6 QPage 32: Q7 QPage 32: Q8 QPage 32: Q9 QPage 32: Q10 QPage 32: Q11 QPage 32: Q12 QPage 32: Q13 QPage 32: Q14 QPage 33: Q1 QPage 33: Q2 QPage 33: Q3 QPage 33: Q4 QPage 33: Q5 QPage 33: Q6 QPage 33: Q7 QPage 33: Q8 QPage 33: Q9 QPage 33: Q10 QPage 33: Q11 QPage 33: Q12 QPage 33: Q13 QPage 33: Q14 QPage 33: Q15 QPage 33: Q16 QPage 33: Q17 QPage 33: Q18 QPage 34: Q19 QPage 34: Q20 QPage 34: Q21 QPage 34: Q22 QPage 34: Q23 QPage 34: Q24 QPages 34-37: Q1 QPages 34-37: Q2 QPages 34-37: Q3 QPages 34-37: Q4 QPages 34-37: Q5 QPages 34-37: Q6 QPages 34-37: Q7 QPages 34-37: Q8 QPages 34-37: Q9 QPages 34-37: Q10 QPages 34-37: Q11 QPages 34-37: Q12 QPages 34-37: Q13 QPages 34-37: Q14 QPages 34-37: Q15 QPages 34-37: Q16 QPages 34-37: Q17 QPages 34-37: Q18 QPages 34-37: Q19 QPages 34-37: Q20 QPages 34-37: Q21 QPages 34-37: Q22 QPages 34-37: Q23 QPages 34-37: Q24 QPages 34-37: Q25 QPages 34-37: Q26 QPages 34-37: Q27 QPages 34-37: Q28 QPages 34-37: Q29 QPages 34-37: Q30 QPages 34-37: Q31 QPages 34-37: Q32 QPages 34-37: Q33 QPages 34-37: Q34 QPages 34-37: Q35 QPages 34-37: Q36 QPages 34-37: Q37 QPages 34-37: Q38 QPages 34-37: Q39 QPages 34-37: Q40 QPages 34-37: Q41 QPages 34-37: Q42 QPages 34-37: Q43 QPages 34-37: Q44 QPages 34-37: Q45 QPages 34-37: Q46 QPages 34-37: Q47 QPages 34-37: Q48 QPages 34-37: Q49 QPages 34-37: Q50 QPages 34-37: Q51 QPages 34-37: Q52 QPages 34-37: Q53 QPages 34-37: Q54 QPages 34-37: Q55 QPages 34-37: Q56 QPages 34-37: Q57 QPages 34-37: Q58 QPages 34-37: Q59 QPages 34-37: Q60 QPages 34-37: Q61 QPages 34-37: Q62

Related Learning Resources & Exam Preparation

Chapter Practice Bank
Practice all topic-wise questions from Kinetic Theory of Gases
Reference Textbook Solutions
Explore complete chapter exercises for HC Verma: Concepts of Physics - Volume 2
Competitive PYQ Question Bank
Browse year-wise authentic previous years' questions with solutions
Authentic CBT Mock Tests
Simulate official exam environment with live timer and percentile scoring