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\[(P)\] \[\therefore \] \[P=P-{{P}_{0}}=3-1=2\,\text{atm}\] 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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