The volume of a 1 cm\(^3\) metal ball increases by 0.0018 cm\(^3\) when heated through temperature \theta. If the linear expansivity of the ball is 2.0 x 10\(^{-5} K^{-1}\), find \theta.
A
20°C
B
50°C
C
30°C
D
25°C
Verified Correct Answer: C.
Physical Principles & Numerical Solution
Answer: C. 30^\circC
(Volume exp. γ = 3 \alpha = 6\times10\(^{-5}\)K\(^{-1}\);
\DeltaV = V γ \theta;
\theta = \(\frac{0.0018}{1 \times 6\times 10^{-5}}\) = 30^\circC.
Source: Myschool Past Questions Archive (Record #74364)