Class 11 Exam  >  Class 11 Questions  >  On a planet where gplanet = 0.2gearth. What w... Start Learning for Free
On a planet where gplanet = 0.2gearth. What will be the difference in the height of column filled with
mercury in a closed end manometer when the gas is filled with the pressure of 2 atm on earth
(Assuming : outside pressure to be 1 atm on both planet ; Volume of gas remain constant)?
Most Upvoted Answer
On a planet where gplanet = 0.2gearth. What will be the difference in ...
Introduction:
In this scenario, we are given that the acceleration due to gravity (g) on a particular planet is 0.2 times the acceleration due to gravity on Earth (gearth). We need to determine the difference in the height of a column filled with mercury in a closed-end manometer when the gas inside is filled with a pressure of 2 atm on Earth.

Explanation:
To solve this problem, we can use the equation for pressure in a manometer:

P1 + ρgh1 = P2 + ρgh2

where P1 and P2 are the pressures on either side of the manometer, ρ is the density of the mercury, g is the acceleration due to gravity, and h1 and h2 are the heights of the mercury columns on each side of the manometer.

Step 1: Calculate the pressure difference:
The pressure difference (ΔP) between the gas inside the manometer and the outside atmosphere is given by:

ΔP = Pgas - Poutside

Since we are given that the gas is filled with a pressure of 2 atm on Earth and the outside pressure is 1 atm on both planets, the pressure difference is:

ΔP = 2 atm - 1 atm = 1 atm

Step 2: Determine the density of mercury:
The density of mercury (ρ) is a constant value and can be obtained from reference tables. Let's assume the density of mercury is 13.6 g/cm³.

Step 3: Calculate the height difference:
Using the equation for pressure in the manometer, we can rearrange it to solve for the height difference (Δh):

Δh = (Pgas - Poutside) / (ρg)

Substituting the known values, we have:

Δh = (1 atm) / (13.6 g/cm³ * 9.8 m/s² * 100 cm/m)

Simplifying the units, we get:

Δh = (1 * 101325 Pa) / (13.6 * 9.8 * 1000 kg/m³ * 9.8 m/s²)

Calculating the numerical value, we find:

Δh ≈ 0.075 m

Conclusion:
The difference in the height of the column filled with mercury in the closed-end manometer when the gas is filled with a pressure of 2 atm on Earth is approximately 0.075 meters.
Community Answer
On a planet where gplanet = 0.2gearth. What will be the difference in ...
380 cm
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
Explore Courses for Class 11 exam

Similar Class 11 Doubts

Top Courses for Class 11

On a planet where gplanet = 0.2gearth. What will be the difference in the height of column filled withmercury in a closed end manometer when the gas is filled with the pressure of 2 atm on earth(Assuming : outside pressure to be 1 atm on both planet ; Volume of gas remain constant)?
Question Description
On a planet where gplanet = 0.2gearth. What will be the difference in the height of column filled withmercury in a closed end manometer when the gas is filled with the pressure of 2 atm on earth(Assuming : outside pressure to be 1 atm on both planet ; Volume of gas remain constant)? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about On a planet where gplanet = 0.2gearth. What will be the difference in the height of column filled withmercury in a closed end manometer when the gas is filled with the pressure of 2 atm on earth(Assuming : outside pressure to be 1 atm on both planet ; Volume of gas remain constant)? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for On a planet where gplanet = 0.2gearth. What will be the difference in the height of column filled withmercury in a closed end manometer when the gas is filled with the pressure of 2 atm on earth(Assuming : outside pressure to be 1 atm on both planet ; Volume of gas remain constant)?.
Solutions for On a planet where gplanet = 0.2gearth. What will be the difference in the height of column filled withmercury in a closed end manometer when the gas is filled with the pressure of 2 atm on earth(Assuming : outside pressure to be 1 atm on both planet ; Volume of gas remain constant)? in English & in Hindi are available as part of our courses for Class 11. Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of On a planet where gplanet = 0.2gearth. What will be the difference in the height of column filled withmercury in a closed end manometer when the gas is filled with the pressure of 2 atm on earth(Assuming : outside pressure to be 1 atm on both planet ; Volume of gas remain constant)? defined & explained in the simplest way possible. Besides giving the explanation of On a planet where gplanet = 0.2gearth. What will be the difference in the height of column filled withmercury in a closed end manometer when the gas is filled with the pressure of 2 atm on earth(Assuming : outside pressure to be 1 atm on both planet ; Volume of gas remain constant)?, a detailed solution for On a planet where gplanet = 0.2gearth. What will be the difference in the height of column filled withmercury in a closed end manometer when the gas is filled with the pressure of 2 atm on earth(Assuming : outside pressure to be 1 atm on both planet ; Volume of gas remain constant)? has been provided alongside types of On a planet where gplanet = 0.2gearth. What will be the difference in the height of column filled withmercury in a closed end manometer when the gas is filled with the pressure of 2 atm on earth(Assuming : outside pressure to be 1 atm on both planet ; Volume of gas remain constant)? theory, EduRev gives you an ample number of questions to practice On a planet where gplanet = 0.2gearth. What will be the difference in the height of column filled withmercury in a closed end manometer when the gas is filled with the pressure of 2 atm on earth(Assuming : outside pressure to be 1 atm on both planet ; Volume of gas remain constant)? tests, examples and also practice Class 11 tests.
Explore Courses for Class 11 exam

Top Courses for Class 11

Explore Courses
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev