A solid material of volume 100(cm^{-3}) is heated through a temperature difference of 40°C. Calculate…

A solid material of volume 100(cm^{-3}) is heated through a temperature difference of 40°C. Calculate the increase in the volume of the material if its linear expansitivity is 2 x (10^{-6}K{-1})
  • A.
    2.4 x(10^{-2}cm^{-3})
  • B.
    1.6 x(10^{-2}cm^{-3})
  • C.
    8 x(10^{-2}cm^{-3})
  • D.
    5 x(10^{-2}cm^{-3})
  • E.
    4 x(10^{-2}cm^{-3})
Correct Answer: Option A
Explanation

(3{alpha}= frac{Delta{V}}{V_1Delta{T}}Rightarrow frac{Delta{V}}{100times40}=3alpha, where, alpha = 2 times 10^{-6}\ frac{Delta{V}}{4000}=6times10^{-6}Rightarrow Delta=4times10^3times6times10^{-6}= 2.4times10^{-2}cm^{-3})

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