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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.
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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'.
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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?
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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?.
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