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(C) When a vessel containing a liquid is subjected to a horizontal acceleration $a$,the free surface of the liquid tilts such that the angle $	heta$

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$(iii)$

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(C) When a vessel containing a liquid is subjected to a horizontal acceleration $a$,the free surface of the liquid tilts such that the angle $	heta$ with the horizontal is given by $	an 	heta = \frac{a}{g}$.In this problem,the vessel is moving towards the right and is given a constant retardation towards the right. Retardation towards the right is equivalent to an acceleration towards the left.Therefore,the effective acceleration $a$ is directed towards the left.Due to this pseudo-force acting on the liquid particles towards the right,the liquid level rises on the right side and falls on the left side.This results in the liquid surface sloping upwards towards the right,as shown in diagram $(iii)$.

$A$ vessel containing water is moving with a constant speed towards the right along a straight horizontal path. If the vessel is given a constant retardation towards the right along a straight line,which of the following diagrams represents the surface of the liquid?

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