Question

A sealed tank contains water to a height of 11 m and air at 3 atm. Water flower out from the bottom of a tank through a small hole. The velocity of efflux is (g=$10{ms}^{-2}$)

• A. 18.1 ${ms}^{-1}$
• B. 24.2 ${ms}^{-1}$
• C. 20.4 ${ms}^{-1}$
• D. 28.6 ${ms}^{-1}$

Answer 1

The correct option is D 28.6 ${ms}^{-1}$

According to Bernaulis theoram

$0.01\times {10}^5\times 3+\rho gh=\frac{1}{2}\rho v^{2}3.03\times {10}^5+1000\times 10\times 11=\frac{1}{2}\times 1000v^{2}v=\sqrt{\frac{4.13\times {10}^5\times 2}{1000}}v=28.6m/s$