A) Varying
B) \[\frac{a}{A}\]
C) \[\frac{2a}{A}\]
D) none of these
Correct Answer: C
Solution :
the velocity of the .liquid id given as \[v=\sqrt{2gy}\] |
\[\therefore \]the impact force of the emerging liquid on the vessel+ liquid content is equal to \[F=v\frac{dm}{dt}=vapv=ap{{v}^{2}}\] |
\[\Rightarrow F=ap{{\left( \sqrt{2gh} \right)}^{2}}=2apgy\] |
The force of friction, \[f=F=2apgy\] |
\[\Rightarrow \mu N=2a\rho gy\Rightarrow \mu \left( A\rho gy \right)=2a\rho gy\] \[\Rightarrow \mu =\frac{2a}{A}\] |
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