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# If the coefficient of real expansion  ${\gamma }_{R}$ is 1% more then coefficient of apparent expansion, linear expansion coefficient of the material is

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a
γR303
b
100γR101
c
101γR300
d
101γR100
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detailed solution

Correct option is A

given γR coefficient of real expansion in 1% more than γa coefficient of apparent expansion ⇒γR=γa+1100γa=101100γa we know that  γR=γa+γg γR=γa+3αg substitute γavalue here γR=100101γR+3αg 3αg=γR1−100101=γR101 αg=γR303

Similar Questions

A glass vessel is partially filled with mercury and when both are heated together, the volume of the unfilled part of vessel remains constant at all temperature. Find the initial volume (in cm3) of mercury if the empty part measures 34 cm3 ${\mathrm{\gamma }}_{\mathrm{Hg}}=18×{10}^{-5}{/}^{\circ }\mathrm{C}]$

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