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GATE 2022 Rapid Revision Weekly Quiz 1

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Question 1

Oil of viscosity 0.15 Pa-s and specific gravity 0.90, flows through a horizontal pipe of 30 mm diameter. If the pressure drop per meter length of the pipe is 15 kPa. Determine the Reynolds number of the flow __________.

Question 2

Which of the following correctly represents the view factor matrix of two infinitely long flat plates facing each other (non-facing side of each plate is insulated)?

F =

Question 3

Which of the following graphs correctly illustrate the variation of pressure angle with time for an involute teeth meshing?

Question 4

In an air standard diesel cycle the compression begins at 0.2 MPa, 50ºC and 1500 kJ/kg heat is added. Assume the compression ratio is 12. The maximum temperature (in ºC) in the cycle is (For air, C_p = 1.005 kJ/kg K, C_v = 0.718 kJ/kg K)

Question 5

In a certain machining operation with a cutting speed of 50 m/min, tool life of 45 minutes was observed. When the cutting speed was increased to 100 m/min, the tool life decreased to 10 minutes. The cutting speed for maximum productivity of tool change time is 2 minutes will be _________ m/min.

Question 6

Step angle of the stepper motor is

degrees per pulse and the pitch of lead screw is p mm. If gear ratio is G, then number of pulses required to achieve a linear movement of x mm is,

Question 7

Consider the following PERT network:

The critical path duration of the network (in days) is _______.

Question 8

The inlet condition of a Brayton cycle with perfect regenerator (heat exchanger) is 100 Kpa and 300 K. If the temperature at the end of expansion is 600 K and higher pressure is 200 Kpa. Find the amount of heat exchange by the regenerator (in KJ/kg) _________.

Question 9

There is a rotating bar made up of steel σ_ut = 650 MPa. which is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 300 MPa. The fatigue strength of the bar for a life of 100000 cycles will be_____ ( in MPa)

Question 10

The change in tool life when the cutting velocity is increased by 30%.

(Take n = 0.45 , C = 420)

Question 11

A 1 ton refrigeration capacity water cooler cools water steadily from 35 °C to 20 °C. The specific heat of water is 4.18kJ/kg. What is water flow rate in litre/hr?

Question 12

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A piston cyclinder arrangement as shown above, contains air at 250 kPa, 300⁰C. The 50 kg piston has a diameter of 0.1 m and initially pushes against stops. The atmospheric pressure is 100 kPa and temperature is 20⁰C.The cyclinder cools as heat is transferred to the ambient.At what temperature (in ⁰C) does the piston begin to move down?

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