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Pressure and density

A U-shaped tube open to the air at both ends contains some mer

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Solving time: 3 mins

A U-shaped tube open to the air at both ends contains some mercury. A quantity of water is carefully poured into the left arm of the $U$ -shaped tube until the vertical height of the water column is $15.0 cm$ .

(a) What is the gauge pressure at the water mercury interface?
(b) Calculate the vertical distance $h$ from the top of the mercury in the right hand arm of the tube to the top of the water in the left-hand arm.

Name: Video solution 1: A U-shaped tube open to the air at both ends contains some mercury. A quantity of water is carefully poured into the left arm of the U-shaped tube until the vertical height of the water column is 15.0 cm.(a) What is the gauge pressure at the water mercury interface?(b) Calculate the vertical distance h from the top of the mercury in the right hand arm of the tube to the top of the water in the left-hand arm.
Uploaded: 2023-02-06T12:52:32.000Z
Duration: 7 min

Views: 6,699 students

Updated on: Feb 6, 2023

Book:

Mechanics Volume 2 (DC Pandey)

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A U-shaped tube open to the air at both ends contains some mercury. A quantity of water is carefully poured into the left arm of the

U

-shaped tube until the vertical height of the water column is

15.0 cm

(a) What is the gauge pressure at the water mercury interface?
(b) Calculate the vertical distance

h

from the top of the mercury in the right hand arm of the tube to the top of the water in the left-hand arm.

14 mins ago

Discuss this question LIVE

14 mins ago

Text solutionVerified

(a) Gauge pressure

= ρ_{w} g h_{w}

= (1 0^{3}) (9.8) (0.15) = 1470 N / m^{2}

(b) Let us calculate pressure or two sides at the level of water and mercury interface.

p_{0} + ρ_{w} g h_{w} ρ_{w} h_{w} (1) (15) h = p_{0} + ρ_{Hg} g h_{Hg} = ρ_{Hg} h_{Hg} = (13.6) (15 - h) = 13.9 cm

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Question Text	A U-shaped tube open to the air at both ends contains some mercury. A quantity of water is carefully poured into the left arm of the $U$ -shaped tube until the vertical height of the water column is $15.0 cm$ . (a) What is the gauge pressure at the water mercury interface? (b) Calculate the vertical distance $h$ from the top of the mercury in the right hand arm of the tube to the top of the water in the left-hand arm.
Updated On	Feb 6, 2023
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 1
Upvotes	241
Avg. Video Duration	7 min

Text solutionVerified

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