Verified Solution • 2025–26 Session moderate

QPages 98-102: Q37: HC Verma: Concepts of Physics - Volume 2 Heat Transfer Pages 98-102: Q37 Solution: Two bodies of masses and and specific heat capacities and are…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often write the solution as $\Delta T(t)=(T_2-T_1)e^{+\frac{KA}{l}\left(\frac1{m_1s_1}+\frac1{m_2s_2}\right)t}$, forgetting that heat flows from hot to cold, so $d\Delta T/dt$ is negative. Remember to include the minus sign in the exponent, yielding a decaying exponential.

Two bodies of masses m1m_1 and m2m_2 and specific heat capacities s1s_1 and s2s_2 are connected by a rod of length l, cross-sectional area A, thermal conductivity K and negligible heat capacity. The whole system is thermally insulated. At time t = 0, the temperature of the first body is T1T_1 and the temperature of the second body is T2T_2 T2>T1T_2 > T_1). Find the temperature difference between the two bodies at time t.

Step-by-Step Verified Solution

**Answer:** _T(t) = (T__T_) exp[_KA(1/m_s_ + 1/m_s_)t/l]. **Step-BY-Step Explanation:** The temperature difference decays exponentially:
ΔT(t)=(T2−T1)e−KAl(1m1s1+1m2s2)t\Delta T(t) = (T_2 - T_1) e^{-\frac{KA}{l}\left(\frac{1}{m_1s_1} + \frac{1}{m_2s_2}\right)t}

All Questions in this Chapter

QPage 97: Q1 QPage 97: Q2 QPage 97: Q3 QPage 97: Q4 QPage 97: Q5 QPage 97: Q6 QPage 97: Q7 QPage 97: Q8 QPage 97: Q9 QPage 97: Q10 QPages 96-97: Q1 QPages 96-97: Q2 QPages 96-97: Q3 QPages 96-97: Q4 QPages 96-97: Q5 QPages 96-97: Q6 QPages 96-97: Q7 QPages 96-97: Q8 QPages 96-97: Q9 QPages 96-97: Q10 QPages 96-97: Q11 QPages 97-98: Q1 QPages 97-98: Q2 QPages 97-98: Q3 QPages 97-98: Q4 QPages 97-98: Q5 QPages 97-98: Q6 QPages 98-102: Q1 QPages 98-102: Q2 QPages 98-102: Q3 QPages 98-102: Q4 QPages 98-102: Q5 QPages 98-102: Q6 QPages 98-102: Q7 QPages 98-102: Q8 QPages 98-102: Q9 QPages 98-102: Q10 QPages 98-102: Q11 QPages 98-102: Q12 QPages 98-102: Q13 QPages 98-102: Q14 QPages 98-102: Q15 QPages 98-102: Q16 QPages 98-102: Q17 QPages 98-102: Q18 QPages 98-102: Q19 QPages 98-102: Q20 QPages 98-102: Q21 QPages 98-102: Q22 QPages 98-102: Q23 QPages 98-102: Q24 QPages 98-102: Q25 QPages 98-102: Q26 QPages 98-102: Q27 QPages 98-102: Q28 QPages 98-102: Q29 QPages 98-102: Q30 QPages 98-102: Q31 QPages 98-102: Q32 QPages 98-102: Q33 QPages 98-102: Q34 QPages 98-102: Q35 QPages 98-102: Q36 QPages 98-102: Q37 QPages 98-102: Q38 QPages 98-102: Q39 QPages 98-102: Q40 QPages 98-102: Q41 QPages 98-102: Q42 QPages 98-102: Q43 QPages 98-102: Q44 QPages 98-102: Q45 QPages 98-102: Q46 QPages 98-102: Q47 QPages 98-102: Q48 QPages 98-102: Q49 QPages 98-102: Q50 QPages 98-102: Q51 QPages 98-102: Q52 QPages 98-102: Q53 QPages 98-102: Q54 QPages 98-102: Q55

Related Learning Resources & Exam Preparation

Chapter Practice Bank
Practice all topic-wise questions from Heat Transfer
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