The linear expansivity of brass is 2 x 10(^{-5}) (^oC^{-1}). If the volume of piece of brass is 10cm(^3) at 0(^o)C. What will be its volume at 100(^o)C?
-
A.
10.06cm(^3) -
B.
10.04 cm(^3) -
C.
10.02 cm(^3) -
D.
10.20 cm(^3)
Correct Answer: Option A
Explanation
3 x (alpha) = (frac{V_2 – V_1}{V_1 times Delta theta})
3 x 2 x 10(^{-5}) = (frac{V_2 – 10}{100 times 10})
V(_2) = (100 x 10 x 3 x 2 10(^{-2})) + 10
= 10.06 cm(^3)
There is an explanation video available below.