NEET-XII-Physics
23: Heat and Temperature
- #5Consider 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.digAnsr: aAns : (a) A and B are correct.
The coefficient of linear expansion,
`` \alpha =\frac{1}{L}\frac{\&traingle;L}{\&traingle;T}``
`` ``
`` =\frac{\left[L\right]}{\left[LT\right]}={\,\mathrm{\,K\,}}^{-1}``
Here, L = initial length
`` \&traingle;``L = change in length
`` \&traingle;``T = change in temperature
On the other hand, the coefficient of volume expansion,
`` \gamma =\frac{1}{V}\frac{\&traingle;V}{\&traingle;T}=\frac{\left[{L}^{3}\right]}{\left[{L}^{3}T\right]}={\,\mathrm{\,K\,}}^{-1}``
Here, V = initial volume
`` \&traingle;``V = change in volume
`` \&traingle;``T = change in temperature
K = kelvin, the S.I. unit of temperature
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