GATE XE format:nat PYQs & Answers — Page 62 — Exam Papers

Questions 611–620 of 668. Imported answers require independent review unless marked reviewed.

Topic practice 668 questionsPage 62 of 67

A viscous, incompressible and Newtonian fluid flowing through the main branch of a circular pipe bifurcates into two daughter branches whose radii are 4 cm and 2 cm, respectively. The flow in both the daughter branches are laminar and fully developed. If the pressure gradients in both the daughter branches are same, then the fraction of total volumetric flow rate (rounded off to the second decimal place) coming out from the branch with 4 cm diameter is __________

Diagram for Engineering Sciences question 27

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Model tests are to be carried out to study the flow through a large prototype valve of 0.6 m diameter at a flow rate of 10 m³/s. The same working fluid is used for both the model and the prototype. A complete geometric similarity is maintained between the model and the prototype. If the valve diameter of the model is 80 mm, its required flow rate (in m³/s, rounded off to the first decimal place) would be ________.

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Water is flowing at a rate of 0.5 m³/s in a horizontal pipeline of inside diameter 0.5 m. The density and kinematic viscosity of water is 1000 kg/m³ and 10⁻⁶ m²/s, respectively. Assume Darcy-Weisbach friction factor value to be 0.0093 and acceleration due to gravity as 9.81 m/s². To maintain constant flow rate, the required power per unit length of the pipeline (in W/m, rounded off to the first decimal place) would be ________.

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Air flows over a smooth flat plate at a velocity of 4.39 m/s. The density of air is 1.031 kg/m³ and the kinematic viscosity is 1.34×10⁻⁵ m²/s. The plate length is 12.2 m in the direction of the flow. The boundary layer thickness (

) is given as

, where

is the distance from the leading edge and

is the Reynolds number. The boundary layer thickness (in meters, rounded off to the second decimal place) at 12.2 m from the leading edge will be ________

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A venturimeter of diameter 0.2 m at the entrance and 0.1 m at the throat is inclined upwards. The vertical elevation difference between the entrance and the throat is 0.5 m. The density of water is 1000 kg/m³ and the coefficient of velocity is 0.97. The differential U-tube manometer connected to the entrance and throat shows a pressure difference of 30 kN/m². Assume acceleration due to gravity as 9.81 m/s². The velocity of the water (in m/s, rounded off to the first decimal place) at the throat would be ________

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The unit cell volume of polyethylene (PE) is 0.093 nm

. Assuming two ethylene repeat units are contained within each unit cell, the density of a totally crystalline PE will be .............. g/cm

(Take the atomic weights for carbon and hydrogen as 12.01 g/mol and 1.008 g/mol, respectively, and the Avogadro’s number as

repeat units/mol)

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A continuous, aligned carbon fibre (CF) reinforced polymer composite with 30 vol% of CF and rest resin was designed for a specific application. The modulus of elasticity of CF is 17 GPa and that of the resin is 3.0 GPa. The modulus of elasticity for this composite in the direction of fibre alignment is ............GPa.

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The value of diffusivity (D) for the diffusion of carbon (C) in

-iron at 727 °C is............

m

/s (Given D

= 2

m

/s; activation energy, Q = 142 kJ/mol; R = 8.314 J/mol. K)

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Refer to the figure below:

Diagram for Engineering Sciences question 48

If the alloy contains 47 wt. % of A and 53 wt. % of B at 1300 °C, the wt. % of liquid present in the alloy at this temperature will be ........

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If the energy of formation of vacancies in pure copper is 0.9 eV, the fraction of vacancies in pure copper at 27 °C will be ..........

(Boltzmann’s constant is 8.62

eV/K)

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