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BARC OCES 2022 Quiz 3

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Question 1

Given a function f( x ,y) = 5x² – 4xy + 2y² + 4x – 4y + 10 ,the optimum value of f(x, y) is

Question 2

Which is correct in case of flywheel?

Question 3

Solutions of Laplace’s equation having continuous second-order partial derivatives are called

Question 4

Air at 100 kPa, 2 °C occupies a 10 liter piston-cylinder device that is arranged to maintain constant air pressure. This device is now heated until its volume is 20 liters. The work produced by the air is

Question 5

For the matrix

eigen vector corresponding to eigen value −2 is ___________.

Question 6

A 300 mm thick slab is being cold rolled using roll of 600 mm diameter. If the coefficient of friction is 0.08, the maximum possible reduction (in mm) is __________

Question 7

A block whose mass is 650 gm is fastened to a spring of spring constant K equals 65 N/m whose other end is fixed. The block is pulled a distance x = 11 cm from its equilibrium position at x = 0 on a smooth surface, and released from rest at t=0. The maximum speed ‘S ’ of the oscillating

Question 8

Steady one-dimensional heat conduction takes place across the faces 1 and 3 of a composite slab consisting of slabs A and B in perfect contact as shown in the figure, where k_A, k_B denote the respective thermal conductivities. Using the data as given in the figure, the interface temperature T₂ (in ^oC. is ____

Question 9

Calculate the air-fuel ratio on molar basis that could come out, inside an Oil marketing R&D lab, Methane

is made to undergo combustion with the stoichiometric quantity of air.

Question 10

For two springs having same stiffness (k) are in series, the equivalent stiffness would be __________.

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ESE & GATE ME General

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