A cube made of a metal of linear expansivity is warmed through a temperature of t. lf the initial volume of the cube is V what is the increase in volume of the cube?
A
1/3α Vt
B
1/2α Vt
C
α Vt
D
2α Vt
E
3α Vt
Verified Correct Answer: E.
Physical Principles & Numerical Solution
Volume expansivity(γ) = \(\frac{\text{ change in volume}}{\text{original volume x temp. change}}\)
\(\gamma = \frac{\Delta v}{V \times \Delta t}\)
But γ = 3 \alpha
\Deltav = 3 x \alpha x \Delta t
Source: Myschool Past Questions Archive (Record #24094)