A) 1100
B) 11,000
C) 550
D) 5500
Correct Answer: D
Solution :
[d] Given: Diameter of water tap\[=\frac{2}{\sqrt{\pi }}cm\] \[\therefore \,\,\,\,\,\,Radius,\,\,\,r=\frac{1}{\sqrt{\pi }}\times {{10}^{-2}}m\,\,\,\,\frac{dm}{dt}=\rho AV\] \[\frac{15}{5\times 60}={{10}^{3}}\times \pi {{\left( \frac{1}{\sqrt{\pi }} \right)}^{2}}\times {{10}^{-4}}V\Rightarrow V=0.05m/s\]Reynold?s number, \[{{R}_{e}}=\frac{\rho Vr}{n}\] \[=\frac{{{10}^{3}}\times 0.5\times \frac{2}{\sqrt{\pi }}{{10}^{-2}}}{{{10}^{-3}}}\cong 5500\]
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