Question

A U-tube of base length l filled with 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 height h is given by

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

Answer 1

Correct Answer - B
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)`