A closed tube filled with water is rotat...

A closed tube filled with water is rotating uniformly in a horizontal plane about the axis OO as shown in the figure. The manometers A and B which are fixed on the tube at distances `r_(1) and r_(2)`, indicate pressures `P_(1) and P_(2)` respectively. The angular velocity `(omega)` of the tube is

`omega = sqrt[(2(P_2 - P_1))/(rho(r_2 ^2 - r_1 ^2))]`

`omega = sqrt[(2(P_2 + P_1))/(rho(r_2 ^2 - r_1 ^2))]`

`omega = sqrt[(2(P_2 + P_1))/(rho(r_2 ^2 + r_1 ^2))]`

`omega = sqrt[(2(P_2 - P_1))/(rho(r_2 ^2 + r_1 ^2))]`

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