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A syringe of diameter D = 8 mm and havin...

A syringe of diameter D = 8 mm and having a nozzie of diameter d = 2 mm is placed horizontally at a height of `1.25` m as shown in the figure . An incompressible and non - viscous liquid is filled in syringe and the piston is moved at speed of `0.25` m/s .Find the range of liquid jet on the ground.

Text Solution

Verified by Experts

AV = Constant
`D^(2)V = d^(2)v`
` v = (D^(2))/(d^(2)) V = (8/2)^(2) xx0.25 = 16 xx 0.25 = 4 ` m/s
` x = v sqrt((2h)/g) = 4 sqrt((2xx1.25)/10 ) = 4 xx 1/2 = 2m `
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