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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

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 . 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
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