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Q.

A water hose 2cm  in diameter is used to fill a 20 litre bucket.  If it takes 1 minute to fill the bucket, then the speed v  at which the water leaves the hose is

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a

100 cm/s

b

150 cm/s

c

70 cm/s

d

106 cm/s

answer is D.

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Detailed Solution

V=Avt= area × velocity × time 

v=VAtv=20×10−3π(0.02)24×60v=1.06 m/s  =106 m/s

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