﻿ An open end wide tube is immersed vertically in mercury in such a way that a length 0.05 m extends above the mercury level. The open end of the tube is then closed and the tube is raised further by 0.43 m. Calculate the length of the air column above the mercury level in the tube.                                                                           : Kaysons Education

# An Open End Wide Tube Is Immersed Vertically In Mercury In Such A Way That A Length 0.05 M Extends Above The Mercury Level. The Open End Of The Tube Is Then Closed And The Tube Is Raised Further By 0.43 M. Calculate The Length Of The Air Column Above The Mercury Level In The Tube.

#### Video lectures

Access over 500+ hours of video lectures 24*7, covering complete syllabus for JEE preparation.

#### Online Support

Practice over 30000+ questions starting from basic level to JEE advance level.

#### Live Doubt Clearing Session

Ask your doubts live everyday Join our live doubt clearing session conducted by our experts.

#### National Mock Tests

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

#### Organized Learning

Proper planning to complete syllabus is the key to get a decent rank in JEE.

#### Test Series/Daily assignments

Give tests to analyze your progress and evaluate where you stand in terms of your JEE preparation.

## Question

### Solution

Correct option is

0.1 m

Considering the air in the tube with cross-section A when the tube is open :

Now when the tube is closed and 0.43 m of it is withdrawn out of mercury, if h is the length of air column above mercury and p2 is the pressure of air in it, then as at same level pressure is same,

Now assuming that temperature is constant,

= 0.1 m.

#### SIMILAR QUESTIONS

Q1

If water flows out of vertical pipe at a speed of 1.2 m/s, how far below the outlet will the radius be half the original radius of the stream?

Q2

A 60 kg swimmer pulls himself into a  raft moored in the meddle of a small lake. By how much does the raft sink when the swimmer climds onto it?

Q3

A clever student needs to determine the density of liquid X. She has at her disposal a spring balance and an irregularly shaped object of unknown material that is inert in air, water liquid X. In air the object weighs 2.00N. In water it weighs 1.60N. And in liquid X it weighs 1.70N. The density of liquid X is

Q4

A layer of oil deep floats on a layer of water that is 8 meets deep. The density of the oil is 300 kg/m3. A cube with a volume of 2 m3 floats at the oil-water interface with exactly half of its volume in the water. What is the density of the cube?

Q5

A barge filled with garbage has a density of 800 kg/m3. What present of the barge’s volume is above the water line? The volume below the water line is called the draft of the ship.

Q6

A king order for a gold crown having a mass of 2 kg. When it arrives from the goldsmith, the volume of the crown is found to be 200 cm3. What is your opinion about the crown if the density of the pure gold is ?

Q7

If a room has dimensions , what is the mass of air in the room if density of air at NTP is 1.3 kg/m3?

[Density of water is 103 kg/m3 and g = 10 m/s2]

Q8

What force  does water exert on the base of a house tank of base area 1.5 m2 when it is filled with water up to a height of 1 m? [Density of water is 103 kg/m3 and g = 10 m/s2

Q9

When equal volumes of two metals are mixed together, the specific gravity of alloy is 4. When equal masses of the same two metals are mixed together, the specific gravity of the alloy is 3. Calculate the specific gravity of each metal.

Q10

A balloon filled with hydrogen has a volume of 1 m3 and its mass is 1 kg. What would be the volume of block of a very light material which it can just lift?

[Density of material of block is 91.3 kg/m3 and that of air is 1.3 kg/m3]