Complete GATE CH 2022 Paper 1 overview, original pages and practice · Timed previous-paper practice

Questions 37–39 of 65. Imported answers require review unless explicitly marked reviewed.

Paper practice 65 questionsPage 13 of 22

Question 37

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moles of an ideal gas undergo a two-step process as shown in the figure. Let

,

and

denote the pressure, volume and temperature of the gas, respectively. The gas, initially at state-1 (

), undergoes an isochoric (constant volume) process to reach state-A, and then undergoes an isobaric (constant pressure) expansion to reach state-2 (

). For an ideal gas,

, where

and

are the heat capacities at constant pressure and constant volume, respectively, and are assumed to be temperature independent. The heat gained by the gas in the two-step process is given by
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Question 38

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A horizontal cylindrical water jet of diameter

cm strikes a vertical solid plate with a hole of diameter

cm, as shown in the figure. A part of the jet passes through the hole and the rest is deflected along the plate. The density of water is 100 kg m

. If the speed of the jet is 20 m s

, the magnitude of the horizontal force, in N, required to hold the plate stationary is
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Question 39

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Consider a horizontal rod of radius

(

) in a stationary pipe of radius

. The rod is pulled coaxially at a constant velocity

as shown in the figure. The annular region is filled with a Newtonian incompressible fluid of viscosity

. The steady state fully developed axial velocity profile in the fluid is given by

, where

is the radial coordinate. Ignoring end effects, the magnitude of the pulling force per unit rod length is
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