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QPages 11-12: Q5: HC Verma: Concepts of Physics - Volume 2 Heat and Temperature Pages 11-12: Q5 Solution: Consider the following statements. A) The coefficient of linear …

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often forget that expansion coefficients are defined as a *fractional* change per unit temperature, i.e., $\alpha=\frac{1}{L}\frac{dL}{dT}$ and $\beta=\frac{1}{V}\frac{dV}{dT}$, so both have dimensions of $K^{-1}$. Treating them as having length or volume dimensions leads to the wrong conclusion.

Consider the following statements. A) The coefficient of linear expansion has dimension K−1K^{-1}. B) The coefficient of volume expansion has dimension K−1K^{-1}.

Multiple Choice Options

  • A AA and BB are correct.
  • B AA is correct but BB is wrong.
  • C BB is correct but AA is wrong.
  • D AA and BB are wrong.

Step-by-Step Verified Solution

**Answer:** (a) A and B are correct. **Step-by-Step Explanation:** The coefficient of linear expansion _ has dimension K__. The coefficient of volume expansion _ also has dimension K__. Both statements A and B are correct.

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