**Problem 1:** Water flows through a 1 cm diameter pipe with a speed of 1 ms^{-1}. What should be the diameter of the nozzle if the water is to emerge at 2.1 ms^{-1}.

**Solution**

**Given data** Diameter of the pipe = D_{1} = 1 cm = 0.01 m

Speed
of water in pipe = v_{1}
= 1 ms^{-1}

Speed
at the nozzle of the pipe = v_{2}
= 2.1 ms^{-1}

**Required ** Diameter of the nozzle = D_{2} =?

**Formula**

Equation of continuity. Now if A_{1} is the cross-sectional area of the pipe and A_{2} is the cross-sectional area of the nozzle, then

Put these values in the formula.

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