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(C) When a liquid is heated in a container,the change in volume of the liquid is $\Delta V_{\ell} = V \gamma \Delta T$ and the change in volume of the

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$\gamma > 3\alpha$

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(C) When a liquid is heated in a container,the change in volume of the liquid is $\Delta V_{\ell} = V \gamma \Delta T$ and the change in volume of the container is $\Delta V_{c} = V \gamma_{c} \Delta T$,where $\gamma_{c} = 3\alpha$.For the liquid to overflow,the expansion of the liquid must be greater than the expansion of the container,i.e.,$\Delta V_{\ell} > \Delta V_{c}$.Substituting the expressions,we get $V \gamma \Delta T > V (3\alpha) \Delta T$.Dividing both sides by $V \Delta T$,we obtain $\gamma > 3\alpha$.

$A$ liquid having a coefficient of cubical expansion $\gamma$ is filled in a container having a coefficient of linear expansion $\alpha$. If the liquid overflows upon heating,which of the following relations is correct?

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