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Question

Consider the following statements.


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