A) \[\sqrt{400}m{{s}^{-1}}\]
B) \[\sqrt{600}m{{s}^{-1}}\]
C) \[\sqrt{60}m{{s}^{-1}}\]
D) \[\sqrt{40}m{{s}^{-1}}\]
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 \[h=20\,\,cm\] Hence, velocity of water coming from hole \[i.e.,\] velocity of efflux, is \[v=\sqrt{2gh}=\sqrt{2\times 10\times 20}\] \[=\sqrt{400}m{{s}^{-1}}\]
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