QJEEM20Ph4516: JEE Main 2020 Physics - Class 11 JEEM20Ph4516 Solution: A non-isotropic solid metal cube has coefficients of linear…

Question

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A non-isotropic solid metal cube has coefficients of linear expansion as :
5

\times

10^-5/^oC along the x-axis and 5

\times

10^-6/^oC along the y and the z-axis. If the coefficient of volume expansion of the solid is C

\times

10^-6/^oC then the value of C is

Accepted Answer

γ

=

α

_x +

α

_y +

α

_z

\Rightarrow

C

\times

10^–6 = 5 × 10^–5 + 5 × 10^–6 + 5 × 10^–6

\Rightarrow

C

\times

10^–6 = 50 × 10^–6 + 10 × 10^–6

\Rightarrow

C = 60

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