Engineering Sciences
GATE XE year:2022 PYQs
Build your understanding with focused practice from past exam papers.
Questions 41–50 of 175. Imported answers require independent review unless marked reviewed.
Question 41
Open questionXE-BNAT2 marksNeeds review
Consider a cart of mass 10 kg placed on an inclined plane (angle of inclination 60° with horizontal) as shown in the figure. A turning vane of negligible weight is mounted on the cart. A horizontal steady water jet is issued from a stationary nozzle of area 0.1 m
and strikes the turning vane as shown in the figure. The vane turns the jet downward parallel to the inclined plane. Find out the minimum jet velocity (in m/s) which will not allow the cart to come down. Neglect friction, consider density of water = 1000 kg/m
and acceleration due to gravity = 10 m/s
.
(Round off to two decimal places) 
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A siphon is used to drain out water (density 1000 kg/m³) from a tank as shown in the figure. What can be the maximum height
(in meter) of the point C? Consider acceleration due to gravity = 10 m/s², pressure at point A = 10 kPa, vapour pressure of water = 29.5 kPa and neglect friction. (Round off to two decimal places) 
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The horizontal belt of negligible weight shown in the figure moves with a steady velocity (
) of 2.5 m/s and skims over the top surface of an oil-film of depth
= 3 cm. The length (
) and width (
) of the belt are, respectively, 2 m and 60 cm. Find the viscosity of the oil (in Pa-s), given that the minimum power required to move the belt is 100 W. Neglect the end effects. (Round off to two decimal places) 
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Number of atoms per unit area of the (110) plane of a body centered cubic crystal, with lattice parameter 'a', is
Your answerChoose one option.
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Match the following materials with their corresponding bonding types.
Material | Bonding |
|---|---|
P: Cu₀.₅Al₀.₅ | 1: Ionic |
Q: ZnS | 2: Covalent |
R: Na₂O | 3: Metallic |
S: Li₄SiO₄ | 4: Mixed |
Your answerChoose one option.
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In an ideal rubber, the primary factor responsible for elasticity up to small strains is
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Which one of the following statements is true for an intrinsic semiconductor?
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A differential scanning calorimetry (DSC) experiment tracks the heat flow into or out of a system as a function of temperature. If the experiments given in the options below are performed at 1 atmospheric pressure, then in which case will the DSC thermogram exhibit a spike, either upward or downward?
Your answerChoose one option.
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Which one of the following solvent environments will likely result in swell of solid polystyrene?
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Vickers microhardness (HV) of a ductile material A is higher than another ductile material B. Which of the following is/are true?
Your answerSelect all correct options. You can choose more than one.
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