Verified Solution • 2025–26 Session moderate

QPages 11-12: Q8: HC Verma: Concepts of Physics - Volume 2 Heat and Temperature Pages 11-12: Q8 Solution: If the temperature of a uniform rod is slightly increased by ,…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often forget that the moment of inertia depends on the square of the length ($L^2$), leading them to incorrectly assume a linear increase of $alpha I Delta t$. You must apply the binomial approximation to $(1+alpha Delta t)^2$ to correctly identify the factor of 2 in the change.

If the temperature of a uniform rod is slightly increased by Δt\Delta t, its moment of inertia II about a perpendicular bisector increases by

Multiple Choice Options

  • A zero
  • B αIΔt\alpha I \Delta t
  • C 2αIΔt2\alpha I \Delta t
  • D 3αIΔt3\alpha I \Delta t

Step-by-Step Verified Solution

**Answer:** (c) 2_I_t. **Step-by-Step Explanation:** For a uniform rod, the moment of inertia about a perpendicular bisector is I = ML_/12. When temperature increases by _t, L increases by _L = L__t. The new moment of inertia I' = M(L+_L)_/12 � I(1 + 2__t). Hence, the increase is 2_I_t.

All Questions in this Chapter

QPage 11: Q1 QPage 11: Q2 QPage 11: Q3 QPage 11: Q4 QPage 11: Q5 QPage 11: Q6 QPage 11: Q7 QPage 11: Q8 QPage 11: Q9 QPage 11: Q10 QPage 11: Q11 QPage 11: Q12 QPage 11: Q13 QPage 12: Q1 QPage 12: Q2 QPage 12: Q3 QPage 12: Q4 QPage 12: Q5 QPage 12: Q6 QPages 11-12: Q1 QPages 11-12: Q2 QPages 11-12: Q3 QPages 11-12: Q4 QPages 11-12: Q5 QPages 11-12: Q6 QPages 11-12: Q7 QPages 11-12: Q8 QPages 11-12: Q9 QPages 11-12: Q10 QPages 11-12: Q11 QPages 12-14: Q1 QPages 12-14: Q2 QPages 12-14: Q3 QPages 12-14: Q4 QPages 12-14: Q5 QPages 12-14: Q6 QPages 12-14: Q7 QPages 12-14: Q8 QPages 12-14: Q9 QPages 12-14: Q10 QPages 12-14: Q11 QPages 12-14: Q12 QPages 12-14: Q13 QPages 12-14: Q14 QPages 12-14: Q15 QPages 12-14: Q16 QPages 12-14: Q17 QPages 12-14: Q18 QPages 12-14: Q19 QPages 12-14: Q20 QPages 12-14: Q21 QPages 12-14: Q22 QPages 12-14: Q23 QPages 12-14: Q24 QPages 12-14: Q25 QPages 12-14: Q26 QPages 12-14: Q27 QPages 12-14: Q28 QPages 12-14: Q29 QPages 12-14: Q30 QPages 12-14: Q31 QPages 12-14: Q32 QPages 12-14: Q33 QPages 12-14: Q34

Related Learning Resources & Exam Preparation

Chapter Practice Bank
Practice all topic-wise questions from Heat and Temperature
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