A `U`-tube of base length `l` filled with the same volume of two liquids of densities `rho` and `2rho` is moving with an acceleration `'a'` on the horizontal plane. If the height difference between the two surfaces (open to atmosphere) becomes zero, then the height `h` is given by

Options

A. `(al)/(g)`
B. `(3al)/(2g)`
C. `(2gl)/(3g)`
D. `(al)/(2g)`

Answer

B

Explanation

Writing presure equation from one end to other end of tube.
`p_(0)+2rho gh-2rho. (l)/(2). A-rho(l)/(2). A-rho gh=p_(0)`
`therefore " " h=(3al)/(2g)`