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A column of water 60 cm high supports a column of an unknown liquid of density 1500 kg-m-3. The height of liquid column is (Density of water = 1000 kg-m-3)
- a)80 cm
- b)60 cm
- c)40 cm
- d)20 cm
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
A column of water 60 cm high supports a column of an unknown liquid of...
We equate pot. energy as itll be same for both the columns h1× density1 × g = h2 × dens. 2 × g 60 = 1.5 × h h = 40cm.
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A column of water 60 cm high supports a column of an unknown liquid of...
Given:
To find: Height of the unknown liquid column
Solution:
The pressure at the bottom of the liquid column is given by:
P = ρgh
where,
ρ = Density of liquid
g = Acceleration due to gravity
h = Height of the liquid column
At the interface of the two liquids, the pressure is the same. Therefore, we have:
P1 = P2
ρ1gh = ρ2gH
where,
H = Height of the unknown liquid column
We can find the value of H by substituting the given values:
ρ1gh = ρ2gH
1000 x 9.8 x 0.6 = 1500 x 9.8 x H
H = 0.4 m = 40 cm
Therefore, the height of the unknown liquid column is 40 cm.
Answer: Option c) 40 cm
- Height of water column (h) = 60 cm
- Density of water (ρ1) = 1000 kg/m³
- Density of unknown liquid (ρ2) = 1500 kg/m³
To find: Height of the unknown liquid column
Solution:
The pressure at the bottom of the liquid column is given by:
P = ρgh
where,
ρ = Density of liquid
g = Acceleration due to gravity
h = Height of the liquid column
At the interface of the two liquids, the pressure is the same. Therefore, we have:
P1 = P2
ρ1gh = ρ2gH
where,
H = Height of the unknown liquid column
We can find the value of H by substituting the given values:
ρ1gh = ρ2gH
1000 x 9.8 x 0.6 = 1500 x 9.8 x H
H = 0.4 m = 40 cm
Therefore, the height of the unknown liquid column is 40 cm.
Answer: Option c) 40 cm
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A column of water 60 cm high supports a column of an unknown liquid of density 1500 kg-m-3. The height of liquid column is (Density of water = 1000 kg-m-3)a)80 cmb)60 cmc)40 cmd)20 cmCorrect answer is option 'C'. Can you explain this answer? for NEET 2025 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A column of water 60 cm high supports a column of an unknown liquid of density 1500 kg-m-3. The height of liquid column is (Density of water = 1000 kg-m-3)a)80 cmb)60 cmc)40 cmd)20 cmCorrect answer is option 'C'. Can you explain this answer? covers all topics & solutions for NEET 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A column of water 60 cm high supports a column of an unknown liquid of density 1500 kg-m-3. The height of liquid column is (Density of water = 1000 kg-m-3)a)80 cmb)60 cmc)40 cmd)20 cmCorrect answer is option 'C'. Can you explain this answer?.
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