Consider the following statements.
(A) The coefficient of linear expansion has dimension K–1.
(B) The coefficient of volume expansion has dimension K–1. (a) A and B are correct.
(b) A is correct but B is wrong.
(c) B is correct but A is wrong.
(d) A and B are wrong.
Answers
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(a) A and B are correct.
Explanation:
- The coefficient of linear expansion,
- α = 1L△L△T
- = [L][LT] =K-1
- Initial length is L
- Change in length is △L
- Change in temperature is △T
- Whereas the coefficient of volume expansion,
- γ=1V△V△T=[L3][L3T]=K-1
- Where the,
- Initial volume is V
- Change in volume is △V
- Change in temperature is △T
- The S.I. unit of temperature is kelvin (K).
- Thus, same dimensions are observed for the linear and volume expansion of the gas.
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