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Question

Physics Question on mechanical properties of fluid

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

A

80 cm/s

B

40 cm/s

C

20 cm/s

D

5 cm/s

Answer

80 cm/s

Explanation

Solution

In now of fluids in a tube v1r12=v2r22{{v}_{1}}r_{1}^{2}={{v}_{2}}r_{2}^{2} 20×(0.2)2=v2×(0.1)220\times {{(0.2)}^{2}}={{v}_{2}}\times {{(0.1)}^{2}} v2=20×(0.2)2(0.1)2{{v}_{2}}=\frac{20\times {{(0.2)}^{2}}}{{{(0.1)}^{2}}} v2=80cm/s{{v}_{2}}=80\,\,cm/s