Verified Solution • 2025–26 Session moderate

QPage 12: Q6: HC Verma: Concepts of Physics - Volume 2 Heat and Temperature Page 12: Q6 Solution: As the temperature is increased, the time period of a pendulum

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume the pendulum’s length stays fixed and conclude the period is unchanged with temperature; however, $L$ expands as $L=L_0(1+\alpha\Delta T)$, so $T=2\pi\sqrt{L/g}$ increases. Always account for the temperature‑induced change in $L$ before judging the period.

As the temperature is increased, the time period of a pendulum

Multiple Choice Options

  • A increases proportionately with temperature
  • B increases
  • C decreases
  • D remains constant

Step-by-Step Verified Solution

**Answer:** (b) increases. **Step-by-Step Explanation:** The time period of a pendulum is T = 2��(L/g). When temperature increases, the length L of the pendulum increases due to thermal expansion. Hence, T increases.

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