GATE XE discipline:engineering-sciences PYQs & Answers — Page 142

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Questions 1411–1420 of 1772. Imported answers require independent review unless marked reviewed.

Topic practice 1772 questionsPage 142 of 178

Velocity field in a geophysical flow is given by

where

are zonal, meridional and vertical components of velocity, and

and

refer to eastward and northward distance. Which among the following statements is NOT true for the flow at 45°N:

Your answerChoose one option.

Flow is incompressible

Relative vorticity is zero

Potential vorticity is positive

Flow is compressible

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The distance between Mars and Earth is 0.52 times the distance between Sun and Earth. If the solar constant on Earth is 1370 W m

, then the solar constant on Mars is ________ W m

. (Round off to one decimal place.)

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Ideal gas equation for dry air is expressed as

, where

is pressure,

is density,

is temperature and

is gas constant. If CO

concentration in Earth’s atmosphere quadruples due to fossil fuel burning, then the new gas constant is ________ J kg

. (Round off to two decimal places.) Take the universal gas constant (

) = 8.314 J K

mole

, molecular weight of CO

= 44, and present value of

= 287 J kg

, present concentration of CO

= 500 mg kg

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On a calm evening under a clear sky, the lowest 20 m of the atmosphere is continuously losing energy at a rate of 10 W m

due to radiative cooling. Sensible and latent heat flux exchange with the ground is zero. If air temperature and dew point depression at 6 p.m. are 25°C and 8°C, respectively, the probability of fog formation at midnight is ________ %. (Round off to the nearest integer.) Take

= 1005 J kg

, density of air = 1.15 kg m

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The dynamical core of a general circulation model uses 256 spherical harmonic waves to cover the globe in east-west direction. If two grids of the model exactly resolve the shortest of those waves, then the grid spacing at the equator is ________ km. (Round off to one decimal place.) Take radius of the earth (

) = 6400 km.

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It rains 10 cm in a day over an ocean with a mixed layer depth of 5 m and initial salinity 30 g kg

. The rain water uniformly mixes with the existing mixed layer water. The final salinity after the rain is ________ g kg

. (Round off to one decimal place.)

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A moist air parcel is lifted adiabatically to 800 hPa level. Initial temperature and pressure of the parcel are 300 K and 1010 hPa, and the partial pressure of water vapor is 10 hPa. The partial pressure of the water vapor at the new location is ________ hPa. (Round off to one decimal place.) Take saturation vapor pressure of water at temperature

where

hPa,

K, gas constant (

) = 287 J kg

, and

= 1005 J kg

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In steady state, global mean precipitation

is equal to global mean evaporation

from the surface of the earth. If

is 2.8 mm day

, then the global mean surface latent heat flux is ________ W m

. (Round off to the nearest integer.) Take latent heat of evaporation of water as

J kg

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A column of seawater from surface to 1000 m depth is initially at rest at the equator. The column is moved to 30°N with no change in column depth. In the absence of friction, the vertical component of relative vorticity of the water in the column at 30°N is ________ ×10

. (Round off to one decimal place.)

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Consider two north-south (i.e. meridional) sections A and B in the ocean, separated by 100 km; section B is to the east of section A (as shown in figure below). The steady northward wind stress at A and B are 0.1 N/m

and 0.2 N/m

, respectively; zonal wind stress is zero everywhere. Density of seawater is 1000 kg m

. At 30°N, the vertical velocity at the base of the Ekman layer is ________ meters per day. (Round off to one decimal place.)

Diagram for Engineering Sciences question 20

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GATE XE discipline:engineering-sciences PYQs

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