Question

In the given figure, the container slides down with acceleration 'a' on an incline of angle ' $\theta$ '. Liquid is stationary with respect to container. Find out angle made by surface of liquid with horizontal plane, if $a=g\sin \theta$.

• A. $2\theta$
• B. $\theta$
• C. $3\theta$
• D. $\tan 30^{\circ }$

Answer 1

Answer: (B)

Consider a fluid particle on surface. The forces acting on it are shown in figure.

Liquid surface will always be perpendicular to effective gravity here the effective gravity is perpendicular to the inclined plane.