Question

# Consider the following statements.

A
The coefficient of linear expansion has dimension K1.
B
The coefficient of volume expansion has dimension K1
C
A and B are both correct.
D
A is correct but B is wrong.

Solution

## The correct option is D The coefficient of linear expansion has dimension $$K^{-1}$$.The formula for the change in length due to temperature is:$$=\triangle L=L{ \alpha }_{ L }\triangle T$$So, the coefficient of linear expansion is:$${ \alpha }_{ L }=\cfrac { \triangle L }{ L\triangle T }$$Unit of $${ \alpha }_{ L }=\cfrac { \left[ M \right] }{ \left[ M \right] \left[ K \right] } ={ K }^{ -1 }$$Physics

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