If the container filled with liquid gets accelerated horizontally or vertically, pressure in liquid gets changed. In liquid (`a_(y)`) for calculation of pressure, effective `g` is used. A closed box horizontal base `6 m` by `6 m` and a height `2m` is half filled with liquid. It is given a constant horizontal acceleration `g//2` and vertical downward acceleration `g//2`.
Length of exposed portion of top of box is equal to

Options

A. `2m`
B. `3m`
C. `4m`
D. `2.5m`

Answer

C

Explanation

The slope of the free surface is `45^@`. Thus, the free surface passs through the centre of the box having coordinates `(2,2)` at the top of the box.

Required length `=6-2=4m`