GATE XE format:nat PYQs & Answers — Page 32

Questions 311–320 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 32 of 67

The ratio of scattering efficiency of red light of wavelength 0.65 μm to blue light of wavelength 0.45 μm by air molecules in the atmosphere is _____. (Round off to two decimal places)

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Consider the atmosphere to be a heat engine, which converts absorbed radiation to kinetic energy of winds. Let the global mean radiation absorbed be 200 Wm⁻². In steady-state, if the global mean kinetic energy dissipation is 10 Wm⁻², then the efficiency of the atmospheric heat engine is ________%. (Round off to one decimal place)

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A drifter on the surface of the ocean forms inertial oscillation. The speed of the drifter is 2 m s⁻¹ and the Coriolis parameter at the latitude is 2×10⁻⁴ s⁻¹. The radius of the inertial oscillation is ______ km. (Round off to the nearest integer)

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Consider a tornado in cyclostrophic balance. The tangential wind speed at a radial distance of 500 m from the center of the tornado is ______ m s⁻¹, if the pressure gradient at that location in the radial direction is 5 N m⁻³. Assume the density of air to be 1 kg m⁻³. (Round off to the nearest integer)

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Consider two weather stations A and B having the same altitude. Station B is 5 km north of Station A and is always 2 K warmer than Station A. A steady northerly wind blows at 1 m s⁻¹. The change in temperature at Station A in 2 hours is ________ K. (Round off to one decimal place)

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Assume the Earth is in radiative equilibrium with effective radiative temperature of 255 K. If the planetary albedo increases by 0.05, then the effective radiative temperature of the planet will be ______ K. (Round off to the nearest integer)

Given: Solar constant = 1370 Wm⁻² Stefan Boltzmann constant = 5.67×10⁻⁸ Wm⁻² K⁻⁴

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Let

be a non-negative continuous function of real variable

. If the area under the curve

from

, then the value of

is ______ (round off to one decimal place).

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If the numerical approximation of the value of the integral

using the Trapezoidal rule with two subintervals is 9, then the value of the real constant

is ______ (round off to one decimal place).

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Let the transformation

reduce the ordinary differential equation

where

are real constants. Then, the arithmetic mean of

is ______ (round off to three decimal places).

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A person, who speaks the truth 3 out of 4 times, throws a fair dice with six faces and informs that the outcome is 5. The probability that the outcome is really 5 is ________ (round off to three decimal places).

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GATE XE format:nat PYQs

Question 162

Question 171

Question 172

Question 173

Question 174

Question 175

Question 4

Question 5

Question 6

Question 7