Water is flowing in a conical tube as shown in figure. Velocity of water at area ' A ₂ ' is 60 ~cm / s . The value of ' A ₁ ' and ' A ₂ ' is 10 ~cm ^2 and 5 ~cm ^2 respectively. The pressure difference at both the cross-section is

Step-by-step solution

aligned A₁ V₁ & =A₂ V₂ 10 V₁ & =5 60 V₁ & =30 ~cm / s aligned From Bernoulli's equation aligned ( P _ A - P _ B ) & = 1 2 ( ~V ₂^2- V ₁^2 ) & = 1 2 10^3 (60^2-30^2 ) 10⁻⁴ & = 1 2 10⁻¹(3600-900) & = 1 2 2700 & =1350 dyne / cm ^2 & =135 ~N / m ^2 aligned