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 \[{{t}_{1}}\]