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Concepts Of Physics MCQ Edition [Volume 2]
Exam
Concepts Of Physics MCQ Edition [Volume 2]
Subject
Physics
Chapter
Heat and Temperature

Concepts Of Physics MCQ Edition [Volume 2] · Physics · Heat and Temperature

Evaluate the following statements. (A) The dimension of the...

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

Options

  1. AStatement A is correct, but statement B is incorrect
  2. BBoth statements A and B are correct
  3. CStatement B is correct, but statement A is incorrect
  4. DBoth statements A and B are incorrect

Correct answer

B. Both statements A and B are correct

Step-by-step solution

The coefficient of linear expansion α\alpha is given by α=ΔLL0ΔT\alpha = \dfrac{\Delta L}{L_0 \Delta T}.

The dimension of α\alpha is [L][L][K]=[K−1]\dfrac{[L]}{[L][K]} = [K^{-1}].

Thus, statement A is correct.

The coefficient of volume expansion γ\gamma is given by γ=ΔVV0ΔT\gamma = \dfrac{\Delta V}{V_0 \Delta T}.

The dimension of γ\gamma is [L3][L3][K]=[K−1]\dfrac{[L^3]}{[L^3][K]} = [K^{-1}].

Thus, statement B is also correct.

Both statements A and B are correct.
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