Length of a horizontal arm of U-tube is L and ends of both the vertical arms are open to atompsheric pressure `P_(0)`, A liquid of density `rho` is poured in the tube such that liquid just fills the horizontal part of the tube as shown in figure . Now one end of the opened ends is sealed and the tube is then rotated about a vertical axis passing through the other vertical arm with angular speed `omega_(0)`. if length of each vertical arm is a and in the sealed end liquid rises to a height y, find pressure in the sealed tube during rotation.