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BARC OCES 2022 Quiz 13

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Question 1

and

then z lies on
Where w and z are complex number

Question 2

The equation $Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\05_Engg-Math_BLok_files\image007.png$ is

Question 3

One of the eigen vectors of the matrix A=

Question 4

A 10 kN force is applied to body B whose mass is 15 kg. Body A has a mass of 20 kg. The centre of gravity of body A is at its geometric centre. There is no friction between block B and lower surface. The velocity of the body B is ________ m/sec.
[Take coefficient of friction between bodies μ_d = 0.28]

Question 5

In a 50% reaction turbine, absolute velocity angle at inlet is 45 ° and at exit it is axial. If the stage specific maximum work is 5000 J/Kg then, mean peripheral speed of blade at inlet will be _______ m/s.

Question 6

In a band brake, a rope is wrapped on a drum with angle θ = 150^o and μ = 0.4. Tension in tight side is 5 kN and radius of drum is 100 mm. Frictional torque in brake-

Question 7

Air at a pressure 95kPa and temperature 20℃ is preheated by hot exhaust gases in a cross-flow heat exchanger before let it into the boiler furnace at a rate of 0.8m³/s. The rate of heat transfer is 103 kW. Determine diffenrence in the inlet & outlet temperature of air in K.

Given: Specific heats of air and combustion gases are 1005 J/kg °C and 1100 J/kg °C respectively,

Question 8

Estimate the entropy(kJ/min-K) produced during heat transfer for a system at 520 K receives 7500 kJ/min from a source at 1100 K. The temperature of atmosphere is 297 K. Assuming that the temperatures of system and source remain constant during heat transfer

Question 9

Figure shows the stresses acting on an element. The normal stresses acting on the planes AD and AB are 70 N/mm² and 55 N/mm². These planes also carry shear stresses of 35 N/mm². The position of the plane DE with the principal plane when the resultant stress is at the least inclination to plane DE is

Question 10

A thin spherical shell of 350 mm diameter, having a thickness of metal 10 mm, is filled with a fluid at atmospheric pressure. If an additional 6500 mm³ of fluid is pumped into cylinder, the pressure exerted by the fluid on the wall of sphere is (take modulus of elasticity = 200 GPa and Poisson’s ratio = 0.25)

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