Home
Class 11
PHYSICS
Water flows through a horizontal tube of...

Water flows through a horizontal tube of variable cross-section. The area of cross section at A and B are `4 mm^2 and 2mm^2` respectively. If 1 cc of water enters per seconds through. A find a. The speed of water at A, b. the speed of river at B and c. the pressure difference `P_A-P_B`.

Text Solution

Verified by Experts

The correct Answer is:
`(i) 25 cm//s, (ii) 50 cm//s, (iii) 93.75 N//m^(2)`
`A_(1)v_(1) = A_(2)v_(2)`
(i) `10 cm^(3)//s = 40 mm^(2) xx v_(x)` or `v_(x) = 25 cm//s`
`(ii) 10 cm^(3)//s = 20 mm^(2) xx v_(y)` or `v_(y) = 50 cm//s`
`P_(x) + (1)/(2)rhov_(x)^(2) = P_(y) + (1)/(2) rhov_(y)^(2)`
`P_(x) - P_(y) = (1)/(2) rhov _(y)^(2) - (1)/(2) rhov_(x)^(2) = (1)/(2) xx 1000 [((1)/(2))^(2) - ((1)/(4))^(2)]`
or `P_(x) - P_(y) = 93.75 N/m^(2)`.
Promotional Banner

Topper's Solved these Questions

  • FLUID MECHANICS

    RESONANCE ENGLISH|Exercise Exercise- 1 PART - II Section (A)|5 Videos

  • FLUID MECHANICS

    RESONANCE ENGLISH|Exercise Exercise- 1 PART - II Section (B)|7 Videos

  • FLUID MECHANICS

    RESONANCE ENGLISH|Exercise Exercise- 1 PART - I Section (B)|2 Videos

  • ELECTROSTATICS

    RESONANCE ENGLISH|Exercise Exercise|52 Videos

  • FULL TEST 1

    RESONANCE ENGLISH|Exercise Exercise|30 Videos

Similar Questions

Explore conceptually related problems

Water flows through a horizontal tube of variable cross section.The area of cross section at A and B are 4 mm^2 and 2mm^2 respectively. If 1 cc of water enters per second through A find a) The speed of water at A b) the speed of river at B c) the pressure difference P_A-P_B .

Water flows through a tube shown in figure. The areas of cross section at A and B are 1cm^2 and 0.5 cm^2 respectively. The height difference between A and B is 5cm. If the speed of water at A is 10 cms^-1 . Find a. the speed at B and b. the difference in pressures at A and B.

Water flows through a tube shown in figure. The areas of cross section at A and B are 1cm^2 and 0.5 cm^2 respectively. The height difference between A and B is 5m. If the speed of water at A is 10 cms^-1 find a) the speed at B. b) the difference in pressures at A and B.

Water flows through a horizontal pipe of varying cross-section at the rate of 20 litres per minutes , determine the velocity of water at a point where diameter is 4 cm

Water flows through a horizontal pipe of varying area of cross section at the rate 15 cubic metre per minute. Find the radius of pipe where water velocity is 3 ms^(-1)

Water flows through a horizontal pipe of varying area of cross-section at the rate 5 cubic metre per minute. What is the velocity of water at a point where pipe radius is 10 cm?

Water flows through a horizontal tube as shown in figure. If the difference of heights of water colun in the vertical tubes is 2 cm and the area of cross section at A and B are 4cm^2 and 2cm^2 respectively, find the rate of flow of water across any section.

Water is flowing through a long horizontal tube. Let P_A and P_B be the pressures at two points A and B of the tube

An ideal liquid (water) flowing through a tube of non-uniform cross section area at A and B are 40 cm^2 and 20 cm^2 respectively. If pressure difference between A & B is 700 N/(m^2) then volume flow rate is

A liquid flows through a horizontal tube. The velocities of the liquid in the two sections, which have areas of cross section A_(1) and A_(2) are v_(1) and v_(2) respectively. The difference in the levels of the liquid in the two vertical tubes is h . Then