The cubic expansivity of mercury is 1.8 x 10-4K-1 and the linear expansivity of glass 8.0 x 10-6K-1, calculate the apparent expansivity of mercury in a glass container
A
1.00 x 10-4K-1
B
1.56 x 10-4K-1
C
1.72 x 10-4K-1
D
2.04 x 10-4K-1
Verified Correct Answer: B.
Physical Principles & Numerical Solution
γ\(_r\) = γ + γ\(_{app}\)
1.8 x 10\(^{-4}\) = (3 x 8.0 x 10\(^{-6}\)) + γ\(_{app}\)
γ\(_{app}\) = 1.8 x 10\(^{-4}\) - 2.4 x 10\(^{-5}\)
= 1.56 x 10\(^{-4}\)K\(^{-1}\)
Source: Myschool Past Questions Archive (Record #33774)