COMEDK202510 May 2025Morning ShiftPhysicsMechanical Properties of FluidsActual
A cylindrical tank 0.5 m in radius, rests on a platform 1.5 m high. Initially the tank is filled with water to a height of 2.5 m. A small plug whose area is 10⁻⁴ m ^2 is removed from an orifice located on the side of the tank at the bottom. The vertical speed with which the water strikes the ground is: [Assume g = 10 ms ⁻² ]
Options
- A5.47 m s⁻¹
- B7.07 ~ms ⁻¹
- C5.1 m s⁻¹
- D7.62 m s⁻¹
Correct answer
A. 5.47 m s⁻¹
Step-by-step solution
The orifice is on the side at the bottom, so water emerges horizontally with zero initial vertical velocity. The platform height H = 1.5 m, so water falls 1.5 m vertically. v_y^2 = u_y^2 + 2gH = 0 + 2 10 1.5 = 30 v_y = 30 5.47 ms⁻¹