GATE XE format:nat PYQs & Answers — Page 19 — Exam Papers

Questions 181–190 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 19 of 67

The surface temperature of a hot plate is 175 °C. The ambient air temperature is 25 °C. The rate of heat transfer per unit area in kW.m⁻² from the plate to the ambient air is __________ (Answer in integer). Assume the convective heat transfer coefficient is 20 W.m⁻².K⁻¹.

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A tubular bowl centrifuge is used to separate an aqueous phase from an oil phase. The radii of outlets of the light and heavy liquids are set at 4.5 cm and 4.6 cm, respectively. The radius in cm of the neutral zone in the centrifuge is __________ (round off to 2 decimal places). Assume the density of the aqueous phase is 950 kg.m⁻³ and that of oil is 900 kg.m⁻³.

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Net solar radiation of 1360 W m⁻² is incident on the surface of a still lake having mixed layer depth of 20 m. Find the change in temperature (in SI units) of the mixed layer of the lake for a day length of 8 hours. (Rounded off to 2 decimal places)

Assume that there is no variation in solar radiation in a day and all radiation incident on the surface is absorbed uniformly throughout the mixed layer (Density of lake water is 1025 kg m⁻³ and Specific heat capacity (Cₚ) of lake water is 3850 J kg⁻¹ K⁻¹).

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A homogeneous, incompressible, steady ocean of mixed layer depth of 20 m has a velocity gradient −5 × 10⁻⁸ s⁻¹ and −8.3 × 10⁻⁸ s⁻¹ along zonal and meridional directions, respectively. The vertical mass flux (in kg s⁻¹) at the base of the mixed layer of 100 km × 100 km area is __________ × 10⁶ kg s⁻¹ (Density of sea water is 1025 kg m⁻³). (Rounded off to 1 decimal place)

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Wind blows over the ocean surface at a speed of 10 m s⁻¹. Calculate the magnitude of wind stress, in Pa, using bulk formula. (Drag coefficient is 1.4 × 10⁻³ and density of air is 1.3 kg m⁻³) (Rounded off to 3 decimal places)

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Two stations ‘A’ and ‘B’, present at a latitude of 30 °N are separated by a distance of 10 km. If the difference in sea surface height between these two stations is 1 m, what will be the magnitude of geostrophic current velocity in SI units? (Assume the angular velocity of earth is

) (Answer in integer)

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A stationary air parcel centered on the equator is moved north-ward by conserving absolute vorticity. In the new location it has gained a relative vorticity of

. The latitude of its new location is ____ °N. (Assume the angular velocity of earth is

). (Answer in integer)

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If the polynomial

interpolates the points

,

,

, and

, then the value of

is __________ (round off to 2 decimal places).

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The value of

for which the vector field

is a conservative vector field is ______________ (in integer).

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The probability of a person telling the truth is

. An unbiased die is thrown by the same person twice and the person reports that the numbers appeared in both the throws are same. Then the probability that actually the numbers appeared in both the throws are same is __________ (round off to 2 decimal places).

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