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Pressure difference

Two bulbs X and Y contain gas at different pressures. A long t

Question

Medium

Solving time: 3 mins

Two bulbs $X$ and $Y$ contain gas at different pressures. A long tube having horizontal and vertical segments is connected to the bulbs as shown. The tube contains alternate segment of water and mercury. Water just could not enter the two bulbs. Specific gravity of mercury is $13.6$

Pressure in two horizontal segments of mercury must be same.

Pressure difference between

X

and

Y

is nearly

248 kPa

Pressure difference between

X

and

Y

148 kPa

Equilibrium is not possible in the given arrangement.

Views: 6,132 students

Book:

Physics for JEE Main and Advanced Mechanics 2 (McGraw Hill)

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Noah Discussed

Two bulbs

X

and

Y

contain gas at different pressures. A long tube having horizontal and vertical segments is connected to the bulbs as shown. The tube contains alternate segment of water and mercury. Water just could not enter the two bulbs. Specific gravity of mercury is

13.6

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

P_{x} + ρ_{w} g (175 cm) - ρ_{H g} g (112 cm) + ρ_{w} g (75 cm)

- ρ_{H g} g (88 cm) - ρ_{w} g (150 - 88 cm) = P_{y}

\Rightarrow P_{x} - P_{y} = = ρ_{H g} g (200 cm) - ρ_{w} g (188 cm) = 13600 \times 9.8 \times 2 - 1000 \times 9.8 \times 1.88 266560 - 18424 = 248136 Nm^{- 2} ≃ 248 Nm^{- 2}

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Question Text	Two bulbs $X$ and $Y$ contain gas at different pressures. A long tube having horizontal and vertical segments is connected to the bulbs as shown. The tube contains alternate segment of water and mercury. Water just could not enter the two bulbs. Specific gravity of mercury is $13.6$
Topic	Mechanical Properties of Fluids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1
Upvotes	90

Two bulbs $X$ and $Y$ contain gas at different pressures. A long tube having horizontal and vertical segments is connected to the bulbs as shown. The tube contains alternate segment of water and mercury. Water just could not enter the two bulbs. Specific gravity of mercury is $13.6$

Text solutionVerified

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Two bulbs X and Y contain gas at different pressures. A long tube having horizontal and vertical segments is connected to the bulbs as shown. The tube contains alternate segment of water and mercury. Water just could not enter the two bulbs. Specific gravity of mercury is 13.6

Text solutionVerified

Practice questions from Physics for JEE Main and Advanced Mechanics 2 (McGraw Hill)

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Two bulbs $X$ and $Y$ contain gas at different pressures. A long tube having horizontal and vertical segments is connected to the bulbs as shown. The tube contains alternate segment of water and mercury. Water just could not enter the two bulbs. Specific gravity of mercury is $13.6$