A non-isotropic solid metal cube has coefficients of linear expansion as: 5× 10- 5/° C along the X-axis and 5× 10- 6/° C along the y and the z -axis. If the coefficient of volume expansion of the solid is C× 10- 6/° C then the value C is

Question

A non-isotropic solid metal cube has coefficients of linear expansion as: 5× 10- 5/° C along the X-axis and 5× 10- 6/° C along the y and the z -axis. If the coefficient of volume expansion of the solid is C× 10- 6/° C then the value C is (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

V=2α 2+α 1=10× 10- 6+5× 10- 5=60× 10- 6/° C

Q. A non-isotropic solid metal cube has coefficients of linear expansion as : 5×10−5/∘C along the X-axis and 5×10−6/∘C along the y and the z -axis. If the coefficient of volume expansion of the solid is C×10−6/∘C then the value C is

V=2α2​+α1​=10×10−6+5×10−5=60×10−6/∘C

$V = 2 α_{2} + α_{1} = 10 \times 1 0^{- 6} + 5 \times 1 0^{- 5} = 60 \times 1 0^{- 6} /^{^{\circ}} C$