Question

Water is filled in a cylindrical container to a height of 3 m. The ratio of the cross-sectional area of the orifice and the beaker is 0.1. The square of the speed of the liquid coming out from the orifice is (g = 10 m/s²) 

(A) 50 m² /s² 

(B) 50.5 m² /s² 

(C) 51 m² /s² 

 (D) 52 m² /s² 

Answer 1

Correct Option (A) 50 m² /s²

Explanation:

Applying continuity equation at 1 and 2, 

we have A₁v₁ = A₂v₂ …..(i) 

Further applying Bernoulli’s equation at these two points, we have