PhysicsA large vessel with a small hole at the bottom is filled with water and kerosene with kerosene floating on water. The length of water column is 20 m and that of kerosene is 25 cm. The velocity with which water flows out of the hole is (density of kerosine = 0.8 gcm-3 neglect viscous force ).

A large vessel with a small hole at the bottom is filled with water and kerosene with kerosene floating on water. The length of water column is 20 m and that of kerosene is 25 cm. The velocity with which water flows out of the hole is (density of kerosine = 0.8 gcm-3 neglect viscous force ).

  1. A

    5.6ms-1

  2. B

    0.7ms-1

  3. C

    2.8ms-1

  4. D

    1.4ms-1

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    Solution:

    Given,

    Length of the water = 20m

    length of kerosene = 25cm

    From the question,

    ρkgh+ρwgh=12ρwv2

    substituting the value,

    ρkg×0.25+ρwg×0.2=12ρwv2

    (800×10×0.25+1000×10×0.2)×21000=v2

    v=0.2(0.8×2.5+2)=2(2+2)=2.8m/s

    Hence the correct answer is 2.8m/s.

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