PhysicsA water hose 2 cm 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,

A water hose 2 cm 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,

  1. A

    150 cm/s

  2. B

    70 cm/s

  3. C

    100 cm/s

  4. D

    106 cm/s

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    Solution:

    Given,

    Volume = 20L

    time = 1 minute = 60sec

    diameter d = 2 cm = 0.02m

    We know that

    Area, A=πd24 A=π4(0.02)2

    Volume rate of flow

    volumetime=20×10-360=10-33m3s-1

    Volume rate of flow = Cross-Section Area x Velocity of Flow  

    V =Av

    v=VA=10-33×4π(0.02)2 v=1.06ms-1 v=106cm/s

    Hence the correct answer is 106 cm/s.

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