MCQ
The mechanical equivalent of heat:
- AHas the same dimension as heat.
- BHas the same dimension as work.
- CHas the same dimension as energy.
- ✓Is dimensionless.
✓
Answer
Correct option: D.
Is dimensionless.
If the mechanical work done (W) produces the same temperature change as heat (H), then the mechanical equivalent of heat (J) is equal to $\frac{\text{W}}{\text{H}}.$ Thus,
$\text{J}=\frac{\text{W}}{\text{H}}$
Since the unit of work and heat is the same, mechanical equivalent of heat is dimensionless.
$\text{J}=\frac{\text{W}}{\text{H}}$
Since the unit of work and heat is the same, mechanical equivalent of heat is dimensionless.
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