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Question

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.

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Solution

(a) A and B are correct.

The coefficient of linear expansion,
α=1LLT
=LLT=K-1
Here, L = initial length
L = change in length
T = change in temperature
On the other hand, the coefficient of volume expansion,
γ=1VVT=L3L3T=K-1
Here, V = initial volume
V = change in volume
T = change in temperature
K = kelvin, the S.I. unit of temperature

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