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  4. The velocity of water flowing in a non-uniform tube is 20 cm/s at a point where the tube radius is 0.2 cm. The velocity at another point, where the radius is 0.1 cm, is

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Q. The velocity of water flowing in a non-uniform tube is 20 cm/s at a point where the tube radius is 0.2 cm. The velocity at another point, where the radius is 0.1 cm, is

Rajasthan PMTRajasthan PMT 2011

Solution:

In now of fluids in a tube $ {{v}_{1}}r_{1}^{2}={{v}_{2}}r_{2}^{2} $ $ 20\times {{(0.2)}^{2}}={{v}_{2}}\times {{(0.1)}^{2}} $ $ {{v}_{2}}=\frac{20\times {{(0.2)}^{2}}}{{{(0.1)}^{2}}} $ $ {{v}_{2}}=80\,\,cm/s $