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Concepts Of Physics MCQ Edition [Volume 1]
Exam
Concepts Of Physics MCQ Edition [Volume 1]
Subject
Physics
Chapter
Fluid Mechanics

Concepts Of Physics MCQ Edition [Volume 1] · Physics · Fluid Mechanics

Suppose water is used to construct a barometer. What will be the...

Suppose water is used to construct a barometer. What will be the height of the water column at standard atmospheric pressure (76 cm76 \text{ cm} of mercury)?

Options

  1. A1033.6 cm1033.6 \text{ cm}
  2. B1360 cm1360 \text{ cm}
  3. C5.59 cm5.59 \text{ cm}
  4. D10.336 cm10.336 \text{ cm}

Correct answer

A. 1033.6 cm1033.6 \text{ cm}

Step-by-step solution

At standard atmospheric pressure, the pressure exerted by the mercury column is equal to the pressure exerted by the water column.

ρHgghHg=ρwghw\rho_{Hg} g h_{Hg} = \rho_{w} g h_{w}

Given hHg=76 cmh_{Hg} = 76 \text{ cm}, ρHg=13.6 g/cm3\rho_{Hg} = 13.6 \text{ g/cm}^{3}, and ρw=1 g/cm3\rho_{w} = 1 \text{ g/cm}^{3}.

Substituting the values:

13.6×g×76=1×g×hw13.6 \times g \times 76 = 1 \times g \times h_{w}

hw=13.6×76h_{w} = 13.6 \times 76

hw=1033.6 cmh_{w} = 1033.6 \text{ cm}
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