Water flows through a frictionless duct with a cross section varying as shown in figure. Pressure P at points along the axis is represented by-

Question

Water flows through a frictionless duct with a cross section varying as shown in figure. Pressure P at points along the axis is represented by- (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

By Bernoulli's equation P 1+(1/2) ρ v 12+ PE = P 2+(1/2) ρ v 22+ PE (PE is same) A 1 v 1= A 2 v 2 ∵ v2>v1 so (A2 < A1)2 So pressure will decrease

Q. Water flows through a frictionless duct with a cross section varying as shown in figure. Pressure $P$ at points along the axis is represented by-

By Bernoulli's equation
$P_{1} + \frac{1}{2} ρ v_{1}^{2} + PE = P_{2} + \frac{1}{2} ρ v_{2}^{2} + PE$
( $PE$ is same) $A_{1} v_{1} = A_{2} v_{2}$
$∵ v_{2} > v_{1}$ so $(A_{2} < A_{1})^{2}$ So pressure will decrease

Q. Water flows through a frictionless duct with a cross section varying as shown in figure. Pressure P at points along the axis is represented by-

By Bernoulli's equation P1​+21​ρv12​+PE=P2​+21​ρv22​+PE (PE is same) A1​v1​=A2​v2​ ∵v2​>v1​ so (A2​<A1​)2 So pressure will decrease

Q. Water flows through a frictionless duct with a cross section varying as shown in figure. Pressure $P$ at points along the axis is represented by-

By Bernoulli's equation
$P_{1} + \frac{1}{2} ρ v_{1}^{2} + PE = P_{2} + \frac{1}{2} ρ v_{2}^{2} + PE$
( $PE$ is same) $A_{1} v_{1} = A_{2} v_{2}$
$∵ v_{2} > v_{1}$ so $(A_{2} < A_{1})^{2}$ So pressure will decrease