GATE XE format:nat PYQs & Answers — Page 38 — Exam Papers

Questions 371–380 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 38 of 67

A sample of an oriented semi-crystalline polymer is subjected to uniaxial tensile stress,

, in an X-ray diffractometer. The wavelength of X-ray radiation (Cu K

) is

= 1.542 Å. The position of the (002) peak, which was found initially at a Bragg angle of 37.50° at

= 0 MPa shifted to 37.45° at

= 160 MPa. Assuming elastic deformation, the strain (rounded off to three decimal places) in the sample along the direction of applied stress is ______ × 10⁻³.

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An orange juice sample is concentrated from 10% to 40% (by weight) total soluble solids in a single effect evaporator with a feed rate of 3600 kg hr−1 at 25°C. The evaporator operates at sufficient vacuum to allow the product moisture to evaporate at 55°C. The specific heat of both feed and concentrated juice is 4.0 kJ kg−1 °C−1. If enthalpy of water vapour at 55°C is 2600 kJ kg−1, heat transfer rate through the heating surface area of the evaporator in kilowatt (in integer) will be _____.

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Dry air is fed into a tray dryer. The percentage relative humidity of the air leaving the dryer is 60% at 70°C and 101.35 kPa. If, saturated vapour pressure of water at 70°C is 31.2 kPa, humidity of the air leaving the dryer in kg water per kg dry air (round off to 3 decimal places) will be _____. (Given: Molecular weight of water and air are 18.02 g mol−1 and 28.97 g mol−1 respectively)

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In a cold storage plant, 5000 kg potato having a constant specific heat capacity of 3.65 kJ kg−1 °C−1 are cooled from 28 °C to 2 °C in 24 hours. The heat of respiration of potato per 24 hours is 3.12 kJ kg−1 during the storage. Assuming the efficiency of the storage plant to be 70%, the capacity of the plant in ton of refrigeration (round off to 2 decimal places) is _____. (Given: 1 ton of refrigeration = 3.517 kilowatt)

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The water vapour mixing ratio of an air parcel increases from 10 g kg⁻¹ to 20 g kg⁻¹ at a constant pressure of 1010 hPa and temperature of 300 K. The change in virtual temperature is _____ K (to one decimal place).

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The Ekman layer thickness, if turbulent diffusivity is 0.01 m² s⁻¹, is _____ m. Take Coriolis parameter to be 10⁻⁴ s⁻¹. Calculate to the nearest integer.

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In an incompressible fluid, the horizontal divergence is −0.01 s⁻¹. Then, the vertical velocity at 50 m above a flat surface is ____ m s⁻¹. Round off to one decimal place.

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In an atmosphere, temperature (T) decreases linearly with height above the ground (z), i.e., T(z) = T₀ − γ z, where γ is a constant. Surface pressure is 900 hPa. If the atmosphere is at rest, then the value of z at which the pressure decreases to half of that at the surface is ____ m (round off to the nearest integer).

Take acceleration due to gravity g = 10 m s⁻², gas constant R = 300 J kg⁻¹ K⁻¹, T₀ = 300 K and γ = 1/30 K m⁻¹, and the atmosphere behaves as an ideal gas.

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In a local Cartesian system, a zonal jet has a form u(y) = u₀ (1 − y²/L²), for −L ≤ y ≤ L. Here, y is the meridional distance measured from the axis of the jet and is positive northward. The vertical component of vorticity of this flow at y=L/2 is ____ s⁻¹. Round off to 3 decimal place.

Take u₀ = 50 m s⁻¹ and L = 5 km.

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An eastward flow with a speed of 10 m s⁻¹ goes from station M to station N, which are separated by a distance of 1 km. The temperature at station N is always higher than that at station M by 10 K. The absolute change in temperature due to advection at the mid-point between the stations in 50 s is ____ K (round off to nearest integer).

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