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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

A barometer placed inside an upward accelerating elevator reads 76...

A barometer placed inside an upward accelerating elevator reads 76 cm76 \text{ cm}. The air pressure within the elevator is

Options

  1. Azero
  2. B76 cm76 \text{ cm}
  3. C<76 cm< 76 \text{ cm}
  4. D>76 cm> 76 \text{ cm}

Correct answer

D. >76 cm> 76 \text{ cm}

Step-by-step solution

Let the upward acceleration of the elevator be aa.

The effective acceleration due to gravity inside the elevator is geff=g+ag_{eff} = g + a.

The air pressure PP inside the elevator supports the mercury column in the barometer. Thus, P=ρgeffhP = \rho g_{eff} h, where ρ\rho is the density of mercury and hh is the height of the mercury column.

Given that the barometer reads h=76 cmh = 76 \text{ cm}, the air pressure is P=ρ(g+a)(76 cm)P = \rho (g + a)(76 \text{ cm}).

The pressure expressed in terms of standard cm of Hg is Pρg=76(g+ag) cm\dfrac{P}{\rho g} = 76 \left(\dfrac{g + a}{g}\right) \text{ cm}.

Since a>0a > 0, we have g+ag>1\dfrac{g + a}{g} > 1.

Therefore, the air pressure within the elevator is >76 cm> 76 \text{ cm} of Hg.
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