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MHT CET20244 May 2024Morning ShiftPhysicsMechanical Properties of FluidsActual

The surface of water in a water tank of cross section area 750 ~cm ^2 on the top of a house is ' h ' m above the tap level. The speed of water coming out through the tap of cross section area 500 ~mm ^2 is 30 ~cm / s . At that instant dh dt is x =10⁻³ ~m / s . The value of ' x ' will be

Options

  1. A2
  2. B3
  3. C4
  4. D6

Correct answer

A. 2

Step-by-step solution

aligned & From equation of continuity, A ₁ v ₁= A ₂ v ₂ & (750 10⁻⁴ ) v₁= (500 10⁻⁶ ) (30 10⁻² ) & v ₁= 500 10⁻⁶ 30 10⁻² 750 10⁻⁴ =2 10⁻³ ~m / s & But, v ₁= dh dt = x 10⁻³ ~m / s & x =2 aligned

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