Question

(1): when a liquid with a coefficient of $\gamma$ is heated in a vessel of a coefficient of linear expansion $\frac{\gamma }{3}$, the level of liquid in the vessel remains unchanged.

(2):${\gamma }_a={\gamma }_r-{\gamma }_g={\gamma }_r-3\alpha =0$

• A. Both 1 and 2 are true and 2 is the correct explanation of 1
• B. Both 1 & 2 are true but 2 is not the correct explanation of 1.
• C. 1 is true but 2 is false
• D. 1 is false but 2 is true

Answer 1

The correct option is A Both 1 and 2 are true and 2 is the correct explanation of 1

Coefficient of volume expansion is thrice the coefficient of linear expansion. Hence the coefficient of expansion of both liquid and vessel is same. Hence they expand equally with rise in temperature. Therefore no rise in the level of liquid in vessel is observed.