A) \[\sqrt{400}\,m{{s}^{-1}}\]
B) \[\sqrt{600}\,m{{s}^{-1}}\]
C) \[\sqrt{60}\,m{{s}^{-1}}\]
D) none of these
Correct Answer: A
Solution :
Let height of water column in the tank be h. Total pressure\[(P)=\]atmospheric pressure \[({{P}_{0}})+\]pressure due to water column in tank\[(P)\] \[\therefore \] \[p=p-{{p}_{0}}=3-1=2\,atm\] or \[h\rho g=2\times {{10}^{5}}\] or \[h\times {{10}^{3}}\times 10=2\times {{10}^{5}}\] or \[h=20m\] Hence, velocity of water coming from hole ie, velocity of efflux, is \[v=\sqrt{2gh}=\sqrt{2\times 10\times 20}\] \[=\sqrt{400}m{{s}^{-1}}\]
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