A horizontal pipe of non-uniform cross-section allows water to flow through it with a velocity 1 ~ms ⁻¹ when pressure is 50 kPa at a point. If the velocity of flow has to be 2 ~ms ⁻¹ at some other point, the pressure at that point should be

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Correct answer: C. 48.5 kPa

According to Bernoulli's equation for horizontal pipe, aligned & P₁+ 1 2 v₁^2=P₂+ 1 2 v₂^2 & P₁+ 1 2 (v₁^2-v₂^2 )=P₂ & P₂=50 10^3+ 1 2 10^3 (1^2-2^2 ) & P₂=50 10^3-1.5 10^3 & =48.5 kPa & aligned

A horizontal pipe of non-uniform cross-section allows water to flow through it with a velocity 1 ~ms ⁻¹ when pressure is 50 kPa at a point. If the velocity of flow has to be 2 ~ms ⁻¹ at some other point, the pressure at that point should be

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