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# BARC 2021 ME: Full Syllabus Test 9

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Question 1

One kg mass of iron at 1200 K is allowed to cool to 400 K and environment is at 300 K. The specific heat of steel is 0.5 kJ/kg. K. The Irreversibility is

Question 2

Two helical spur gear are in mesh with angular velocity 200 rpm for gear and 600 rpm for the pinion. Assuming no slip occur between the meshing gears. What will be the value of gear ratio for the following gear arrangement.

Question 3

A four bar mechanism PQRS having PQ = 20 mm, QR = 40 mm, RS = 30 mm, SP = 55 mm. If PQ is fixed, then which type of mechanism formed?

Question 4

The life of a ball bearing at a load of 10 KN is 8000 hours. Ifthe load is increased to 20 KN, keeping all other conditions the same, then its life in hours is

Question 5

A carnot heat pump works between temperature limits of  177 ºC and 27 ºC. Its COP is __.

Question 6

Determine the Logrithmic  mean temperature difference for a counter flow heat exchanger. Following data is to be considered :
Temperatures at the inlet of a hot and cold fluid = 150℃ and 30℃
Outlet of a hot and cold fluid = 95℃ and 40℃

Question 7

A sample of 15 data is follows: 17, 18, 17, 17, 13, 18, 5, 5, 6, 7, 8, 9, 20, 17, 3. The mode of the data is

Question 8

In an ideal Brayton cycle, atmospheric air (ratio of specific heats, specific heat at constant pressure = 1.005 kJ/kg.K) at 1 bar and 300 K is compressed to 8 bar. The maximum temperature in the cycle is limited to 1280 K. If the heat is supplied at the rate of 80 MW, the mass flow rate (in kg/s) of air required in the cycle is

Question 9

The value of tensions T1 and T2 in the string are respectively,

Question 10

The demand for a commodity is 100 units per day. Every time an order is placed, a fixed cost of 800 is incurred. Holding cost is 0.16 per unit per day. If the lead time is 2 days, the reorder point is

Question 11

A big stone has 60% of its volume projecting above the surface of the sea. The sea water density is 1025 kg/m3. The density of stone is

Question 12

The flatness of a machine bed can be measured using _________.

Question 13

The Reynolds number for turbulent flow in pipes is _____

Question 14

A simply supported circular beam of diameter 30 mm uniformly loaded over the length shows the maximum deflection at centre as 7.5 mm. The beam is now replaced with another circular beam of diameter 40mm. The deflection in the current beam is

Question 15

A counter flow heat exchanger is used to heat from 200C to 800C by using hot exhaust gas entering at 1400C and leaving at 800C. the log mean temperature difference for the heat exchanger is
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