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An open cubical container of side 'H' is...

An open cubical container of side 'H' is filled with a liquid up to height `(H)/(4)` . Mass of liquid inside container is 'm' (neglect atmospheric Pressure). When container is moved with maximum possible acceleration what will be the value of force applied by liquid on front wall parallel to plane of paper ?

A

`mg`

B

`2mg`

C

`(mg)/(3)`

D

`(2mg)/(3)`

Text Solution

Verified by Experts

The correct Answer is:
B
An open ………….
Volume of liquid inside container container is `(H^(3))/(4)` when container is moved with maximum possible acceleration.

`tan theta = (a)/(g) = 2 implies a = 2g`
Force due to left wall is
`((0+rho gh))/(2).H^(2) = (rho gH^(3))/(2) = 2mg`
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