question_answer

The coefficient of apparent expansion of a liquid when determined using two different vessels P and Q are \[\frac{100}{3}cm\]and \[100cm\] respectively. If the coefficient of linear expansion of the vessel P is a, the coefficient of linear expansion of the vessel Q is

A)  \[\frac{200}{3}cm\]

B)  \[\frac{50}{3}cm\]

C)  \[T=2{{T}_{0}}+\eta {{V}^{2}}\]

D)  \[\eta \]

Correct Answer: D

Solution :

                We can write As        \[\frac{2{{\eta }^{2}}}{g{{a}^{2}}}\] For vessel/P \[\frac{{{\eta }^{2}}}{g{{a}^{2}}}\] For vessel Q; \[\frac{{{\eta }^{2}}}{2g{{a}^{2}}}\] Hence   \[\frac{{{\eta }^{2}}}{4g{{a}^{2}}}\] or            \[{{t}_{1}}\]