Verified Solution • 2025–26 Session moderate

QPage 46: Q17: HC Verma: Concepts of Physics - Volume 2 Calorimetry Page 46: Q17 Solution: The mechanical equivalent of heat ____________.

⚠️ Common Exam Traps & Conceptual Pitfalls

Students frequently treat the mechanical equivalent of heat as having the dimensions of heat or work, forgetting that it is a ratio of two energies (work / heat) and therefore dimensionless. Remember that both sides are energy, so the conversion factor carries no physical dimension.

The mechanical equivalent of heat ____________.

Multiple Choice Options

  • A has the same dimension as heat
  • B has the same dimension as work
  • C has the same dimension as energy
  • D is dimensionless

Step-by-Step Verified Solution

**Answer:** (c) has the same dimension as energy. **Step-by-Step Explanation:** Mechanical equivalent of heat J = W/Q, which is dimensionless. It has no dimensions.

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