An open cubical tank was initially fully filled with water. When the tank was accelerated on a horizontal plane along one of its side it was found that one thrid of volume of water was spilled out. The acceleration was

Options

A. `g//3`
B. `2g//3`
C. `3g//2`
D. None

Answer

B

Explanation

`tan theta=(A)/(g)" ....(1)"`
`(1)/(2)xa^(2)=(1)/(3)a^(3)" "implies(x)/(a)=(2)/(3)impliestan theta=(2)/(3)" "....(2)`
From (1) `&` (2)
`(A)/(g)=(2)/(3)" "impliesA=(2g)/(3)`