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PhysicsMediumMCQ2012 · 12 May Online

Q10.Water is flowing through a horizontal tube having cross-sectional areas of its two ends being A and A′ such that the ratio A/A′ is 5 . If the pressure difference of water between the two ends is 3× 105 N m−2 , the velocity of water with which it enters the tube will be (neglect gravity effects) (1) 5 m s−1 (2) 10 m s−1 (3) 25 m s−1 (4) 50√10 m s−1

What This Question Tests

This problem requires the application of both the equation of continuity and Bernoulli's principle to find the velocity of water given the cross-sectional areas and pressure difference.

Concepts Tested

Equation of continuityBernoulli's principlePressure differenceFluid velocity

Formulas Used

A₁v₁ = A₂v₂

P₁ + 1/2 ρv₁² = P₂ + 1/2 ρv₂²

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