Concepts Of Physics MCQ Edition [Volume 2]PhysicsHeat and Temperature
Evaluate the following statements. (A) The dimension of the coefficient of linear expansion is K⁻¹ . (B) The dimension of the coefficient of volume expansion is K⁻¹ .
Options
- AStatement A is correct, but statement B is incorrect
- BBoth statements A and B are correct
- CStatement B is correct, but statement A is incorrect
- 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 is given by = L L₀ T . The dimension of is [L] [L][K] = [K⁻¹] . Thus, statement A is correct. The coefficient of volume expansion is given by = V V₀ T . The dimension of is [L^3] [L^3][K] = [K⁻¹] . Thus, statement B is also correct. Both statements A and B are correct.