A metal of volume 40 cm\(^3\) is heated from 30 ^\circc to 90 ^\circc, the increase in volume is
[Linear expansivity of the metal = 2.0 x 10\(^{-5}\)K\(^{-1}\)]
A
0.12 cm3
B
4.00 cm3
C
1.20 cm3
D
0.40 cm3
E
no correct option
Verified Correct Answer: E.
Physical Principles & Numerical Solution
increase in volume, \(\Delta\)V = V x 3\(\alpha\) x \(\Delta \theta\)
= 3 x 2.0 X 10\(^{-5}\) x 40 x (90 - 30)
= 6 x 10\(^{-5}\) x 40 x 60
0.144 cm\(^3\)
∴ No correct option
Source: Myschool Past Questions Archive (Record #14371)