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BARC 2021 ME: Full Syllabus Test 7

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Question 1

A steam plant has the boiler efficiency of 82%, turbine efficiency (mechanical) of 84%, generator efficiency of 85%. If 6% of the generated power is used to run the auxiliaries, the overall plant efficiency is ___________.

Question 2

The firm has proposed a standard weightage of 50% for the previous month, 30% for the preceding the previous, and 20% for the remaining. The firm calculates the forecast based on three-month moving average. Determine the forecast for the month of April?

Question 3

A carnot engine with 50 percent thermal efficiency is used to drive a carnot refrigerator having a coefficient of performance of 5. The energy absorbed by the engine for each kJ energy absorbed from the cold body by the refrigerator is _________kJ.

Question 4

A smooth flat rectangular plate is placed edgewisw in a stream of fluid. At what fraction of the length from the leading edge would the drag force on the front portion be equal to half of the total drag force ? (Assume the boundary layer to be laminar).

Question 5

A heat engine having an efficiency of 70% is used to drive a refrigerator having a co-efficient of performance of 5. The energy absorbed from low temperature reservoir by the refrigerator for each kJ of energy absorbed from high temperature source by the engine is

Question 6

Mach number is significant in

Question 7

5 kg of water at 273 K is brought in to contact with a heat reservoir at 373 K.When water has reached 373 K, the entropy change the universe would be _____________ kJ/k.

Question 8

Two rectangular blocks, having identical dimensions, can be arranged either in configuration I or in configuration II as shown in figure. One of the blocks has thermal conductivity k and the other 2k. The temperature difference between the ends along the x-axis is the same in both the configurations. It takes 9s to transport a certain amount of heat from the hot end to the cold end in the configuration I. The time to transport the same amount of heat in the configuration II is
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Question 9

A liquid with specific gravity of 0.94 undergoes a reduction in volume of 0.22% when subjected to an increase in pressure of 1400 kPa. The velocity of propagation of sound in this liquid will be ___________m/s.

Question 10

Match the items in columns I and II.

Question 11

A thin cylinder of internal diameter 0.55m contains air at a pressure of 7 N/mm2 If the maximum permissible stress is 75N/mm2, find the thickness of the cylinder_______.

Question 12

A hollow shaft of 1 m length is designed to transmit a power of 30 kW at 700 rpm. The maximum permissible angle of twist in the shaft is Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2015-P2_files\image078.png. The inner diameter of the shaft is 0.7 times the outer diameter. The modulus of rigidity is 80 GPa. The outside diameter (in mm) of the shaft is _______

Question 13

If   , where x > 0 then is

Question 14

A point mass M is released from rest and slides down a spherical bowl (of radius R) from a height H as shown in the figure below. The surface of the bowl is smooth (no friction). The velocity of the mass at the bottom of the bowl is

Question 15

A 1 kg block is resting on a surface with Coefficient of friction μ = 0.1 A force of 0.8 N is applied to the block as shown in the figure. The friction force is
Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE EC-ME-17-Mar\GATE-ME-2011_files\image118.jpg
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