Physics
Fluid-Mechanics
Easy

Question

A hole is made at the bottom of the tank filled with water (density equals 1000 k g m to the power of negative 3 end exponent). If the total pressure at the bottom of the tank is three atmospheres open parentheses 1 a t m equals 10 to the power of 5 N m to the power of negative 2 end exponent close parentheses, then the velocity of efflux is

  1. square root of 400 m s to the power of negative 1 end exponent
  2. square root of 200 m s to the power of negative 1 end exponent
  3. square root of 600 m s to the power of negative 1 end exponent
  4. square root of 500 m s to the power of negative 1 end exponent

The correct answer is: square root of 400 m s to the power of negative 1 end exponent


    Total pressure =3 atm
    Fluid pressure equals left parenthesis 3 minus 1 right parenthesis equals 2 space a space t space m
    We know that, P equals 1 half rho v squared rightwards double arrow 2 cross times 10 to the power of 5 equals 1 half cross times 10 cubed cross times v squared rightwards double arrow v squared equals 4 cross times 10 squared
    text  or  end text v equals square root of 400 m s to the power of negative 1 end exponent

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