JEE Exam  >  JEE Questions  >  An open glass tube is immersed in mercury in ... Start Learning for Free
An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be the length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)
  • a)
    16
  • b)
    22
  • c)
    38
  • d)
    6
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
An open glass tube is immersed in mercury in such a way that a length ...
Since the system is accelerating horizontally such that no component of acceleration in the vertical direction. Hence, the pressure in the vertical direction will remain unaffected.

For air trapped in tube, p1V1 = p2V2
p1 = patm = pg76
V= A.8 [ A = area of cross section]
p2 = patm - ρg(54-x) = ρg(22+x)
V = A.x
ρg76 x 8A = ρg (22+x) Ax
x2  + 22x - 78x 8 by solving, x = 16.
This question is part of UPSC exam. View all JEE courses
Most Upvoted Answer
An open glass tube is immersed in mercury in such a way that a length ...
Explanation:

Given data:
- Length of the air column above mercury initially = 8 cm
- Additional height raised = 46 cm
- Atmospheric pressure = 76 cm of Hg

Calculation:
- Initially, the pressure inside the tube is equal to the atmospheric pressure. So, the pressure of mercury column = Pressure of air column
- Pressure = hρg, where h = height, ρ = density, g = acceleration due to gravity
- Pressure of mercury column = 8 cm x density of mercury x acceleration due to gravity
- When the tube is raised by 46 cm, the pressure inside the tube remains the same as the atmospheric pressure.
- Pressure of mercury column + Pressure of air column = Atmospheric pressure
- (8 + length of air column above mercury) x density of mercury x acceleration due to gravity = 76 cm x density of mercury x acceleration due to gravity
- 8 + length of air column above mercury = 76
- Length of air column above mercury = 76 - 8 = 68 cm

Final Answer:
- Length of the air column above mercury in the tube now = 68 cm
- Therefore, the correct answer is option 'A) 16'.
Explore Courses for JEE exam
An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be the length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)a)16b)22c)38d)6Correct answer is option 'A'. Can you explain this answer?
Question Description
An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be the length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)a)16b)22c)38d)6Correct answer is option 'A'. Can you explain this answer? for JEE 2024 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be the length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)a)16b)22c)38d)6Correct answer is option 'A'. Can you explain this answer? covers all topics & solutions for JEE 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be the length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)a)16b)22c)38d)6Correct answer is option 'A'. Can you explain this answer?.
Solutions for An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be the length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)a)16b)22c)38d)6Correct answer is option 'A'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be the length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)a)16b)22c)38d)6Correct answer is option 'A'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be the length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)a)16b)22c)38d)6Correct answer is option 'A'. Can you explain this answer?, a detailed solution for An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be the length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)a)16b)22c)38d)6Correct answer is option 'A'. Can you explain this answer? has been provided alongside types of An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be the length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)a)16b)22c)38d)6Correct answer is option 'A'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice An open glass tube is immersed in mercury in such a way that a length of 8 cm extends above the mercury level. The open end of the tube is then closed and sealed and the tube is raised vertically up by additional 46 cm. What will be the length of the air column above mercury in the tube now? (Atmospheric pressure = 76 cm of Hg)a)16b)22c)38d)6Correct answer is option 'A'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

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