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JEE Mains · Physics · STD 11 - 9.1 fluid mechanics

If it takes \(5\,minutes\) to fill a \(15\,litre\) bucket from a water tap of diameter \(\frac{2}{{\sqrt \pi  }}cm\) then the Reynolds number for the flow is (density of water \(= 10^3\,kg/m^3\) ) and viscosity of water \(= 10^{-3}\,Pa.s\) ) close to

  1. A \(1100\)
  2. B \(11,000\)
  3. C \(550\)
  4. D \(5500\)
Verified Solution

Answer & Solution

Correct Answer

(D) \(5500\)

Step-by-step Solution

Detailed explanation

Given: Diameter of water tap \( = \frac{2}{{\sqrt \pi }}\,cm\) \(\therefore \,\,Radius,\,r = \frac{1}{{\sqrt \pi }} \times {10^{ - 2}}\,m\) \(\frac{{dm}}{{dt}} = \rho AV\)…
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