Water flows through a horizontal pipe whose internal diameter is 2.0 cm, at a speed of 1.0 `ms^(-1)`. What should be the diameter of the nozzle, if the water is to emerge at a speed of 4.0 `ms^(-1)`?

Explanation

Here `d_(1)=2cm=0.02m,v_(1)=1ms^(-1),v_(2)=4ms^(-1),d_(2)=?`
Using equation of continuity,
`a_(1)v_(1)=a_(2)v_(2)`
(or) `(pid_(1)^(2))/(4)xxv_(1)=(pid_(2)^(2))/(4)xxv_(2)`
(or) `d_(2)^(2)-(v_1)/(v_2)xxd_(1)^(2)=(1)/(4)xx(0.02)^(2)=(0.01)^(2)`
(or) `d_(2)=0.01m=1.0cm`