A) \[2.7\]
B) \[2\]
C) \[1.5\]
D) \[9.5\]
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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