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

Correct answer: 0 V = 2 α _ 2 + α _ 1 = 10 × 10 ^ - 6 + 5 × 10 ^ - 5 = 60 × 10 ^ - 6 / ^ o C

JEE Main 20207 JanuaryMorning Shift

JEE Main 2020 · 7 January · Morning Shift · Physics · Thermal Properties of Matter

A non-isotropic solid metal cube has coefficients of linear...

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

5 \times {10}^{- 5} / {}^{\text{o}} \text{C}

along the x-axis and

5 \times {10}^{- 6} / {}^{\text{o}} \text{C}

along the y and the z-axis. If the coefficient of volume expansion of the solid is

\text{C} \times {10}^{- 6} / {}^{\text{o}} \text{C}

then the value of

C

is _____________

V = 2{\alpha}_{2} + {\alpha}_{1}

= 10 \times {10}^{- 6} + 5 \times {10}^{- 5}

= 60 \times {10}^{- 6} / {}^{\text{o}} \text{C}