JEE MAIN - Physics (2020 - 7th January Morning Slot - No. 24)
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
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
คำตอบ
60
คำอธิบาย
$$\gamma $$ = $$\alpha $$x + $$\alpha $$y + $$\alpha $$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
$$ \Rightarrow $$ 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