Answer:
Explanation:
Length of one side of cube = 5 x 10⁻² m .
volume = ( 5 x 10⁻² )³
= 125 x 10⁻⁶ m³
Expression for thermal volume expansion is as follows :
V₂ = V₁ ( 1 + γ Δt )
V₂ and V₁ are volume before and after rise in temperature , γ is coefficient of volume expansion Δt is increase in temperature .
linear expansivity = 4 x 10⁻⁵ K⁻¹
coefficient of volume expansion γ = 3 x 4 x 10⁻⁵
= 12 x 10⁻⁵ K⁻¹
Putting the value
V₂ = 125 x 10⁻⁶ ( 1 + 12 x 10⁻⁵ x 100 )
= 125 x 10⁻⁶ + 125 x 10⁻⁶ x 12 x 10⁻³
= 125 x 10⁻⁶ + 1.5 x 10⁻⁶
= 126.5 x 10⁻⁶
= 126.5 cm³
