Question

The coefficient of superficial expansion of rod is $4\times {10}^{-5}{/}^{\circ }$C. The percentage increase in the volume of a cube of that metal when it is heated from $0^{\circ }$C to ${100}^{\circ }$C is :

• A. 0.4%
• B. 0.8%
• C. 1.2%
• D. 0.6%

Answer 1

Answer: (D)

0.6%

Given, $\beta =$4X${10}^{-5}$
Now, $\gamma =\left(3/2\right)\beta =\left(3/2\right)4$ X ${10}^{-5}=6$ X${10}^{-5}$ / C
By definition, $\gamma$ $=$ change in volume / (initial volume X change in temperature)
So, percentage change in volume $=$ $\gamma$ X change in temperature X 100
Percentage change in volume $=$ 0.6%