A) 3
B) 2.5
C) 1.5
D) 2
Correct Answer: C
Solution :
The linear expansivity of a solid is also referred to as the thermal coefficient of linear expansion, and is frequently given the symbol \[(\alpha )\]. As solids expand, so does their surface areas and volumes. The terms superficial expansivity \[(\beta )\] or thermal coefficient of superficial expansion is used when describing area changes due to temperature changes. For volume changes, the term cubic expansivity \[(\gamma )\] or thermal coefficient of cubic expansion is used . For most solids, the relationships \[\gamma =3\alpha \]and \[\beta =2\alpha \]hold Hence, we have \[\gamma =\frac{3\beta }{2}=1.5\beta \] \[\Rightarrow \] \[x\beta =1.5\beta \] \[(\because \gamma =x\beta )\] Hence, value of \[x\] is 1.5.
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