GATE XE year:2023 PYQs & Answers — Page 18

Questions 171–175 of 175. Imported answers require independent review unless marked reviewed.

Topic practice 175 questionsPage 18 of 18

A parcel of dry air having an initial temperature of 30 °C at 1000 hPa level is lifted adiabatically. At what pressure (in hPa) its density reduces by half?

(consider the ratio of the specific heat of dry air at a constant pressure to the specific heat of dry air at a constant volume, C

= 0.71, rounded off to two decimal places).

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A cylindrical tank containing water is rotating about the z-axis at a constant angular velocity of 10 rad s

. The schematic of the isobaric surface is shown in the following illustration, where ‘A’ and ‘B’ are two points on the isobaric surface at heights ‘z

’ and ‘z

’, respectively. Assuming the atmospheric pressure to be negligible and no transient flow, estimate the elevation difference in m between ‘z

’ and ‘z

’.

(consider r

= 0.5 m, r

= 1.0 m and gravitational acceleration g = 9.8 m s

, rounded off to two decimal places)

Diagram for Engineering Sciences question 172

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Consider that there are 295 million vehicles across India and they drive about 12000 km yr

. Each vehicle consumes about 25 km lit

of petrol and the amount of carbon released per litre is 5.5 gm. What is the amount of carbon emitted into the atmosphere in mega ton per year (rounded off to two decimal places)?

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Consider the two parallel isobars separated by a spacing of 250 km at 30° N (air density = 0.70 kg m

, 2Ω = 14.6×10

rad s

) with a pressure gradient of 5 hPa. Calculate the geostrophic velocity in m s

(rounded off to two decimal places).

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Considering a gyre system in the following illustration (where ‘L’ and ‘H’ represent low- and high-pressure regions along 45° N), the average slope between the points ‘A’ and ‘B’ is 2.1 cm km

under no wind condition. For a steady southerly wind of 10 m s

over these regions, find out the magnitude of the current velocity in m s

(rounded off to two decimal places).

Diagram for Engineering Sciences question 175

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GATE XE year:2023 PYQs

Question 171

Question 172

Question 173

Question 174

Question 175