A glass bottle weighs 50 g 1040 g then filled with a liquid at $\;0^{0}C\;$ . When it is at $\;100^{0}C\;$ , 10 g of the liquid overflows . If $\;\gamma_{r}=2 \times 10^{-4}/^{0}C\;$ , find the coefficient of linear expansion of container .

Question

$(a)\;\large\frac{1}{3}\times 10^{-4}/^{0}C\qquad(b)\;3\times 10^{-4}/^{0}C\qquad(c)\;6\times 10^{-4}/^{0}C\qquad(d)\;1\times 10^{-4}/^{0}C$