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GATE 2021 ME : Toppers Quiz 35 (App update required to attempt this test)

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Question 1

2 moles of nitrogen

at 0.2MPa and 320K are subjected to a series of processes as a result of which it reached a state of 500kPa and 700K. The change in entropy of nitrogen is ________ kJ/K

Question 2

An ideal brayton cycle without regeneration has pressure ratio of 6. Air inlet to compressor is 0.1MPa and 30^OC. The maximum temperature that can be attained in a cycle is 900^oC.The compressor and turbine efficiencies are 0.9 and 0.95 respectively. Heat supplied per kW of output obtained____________?

Question 3

A welding operation is done with voltage and current of 60 V and 100 A.The cross section of the weld is 150 mm². And the specific energy for thus welding operation is 5.2 J/mm³. The welding speed is 6 mm/s. the supply efficiency is 90%, Find the melting efficiency in %.

Question 4

The molar specific heat at constant volume of an ideal gas is equal to 2.5 times the universal gas constant (8.314 J/mol.K). When the temperature increases by 100k, the change in molar specific enthalpy is ________ J/mol.

Question 5

For fully developed flow through a pipe, the wall temperature is maintained at 500°C. If the fluid has thermal conductivity of 0.12 W/m-K and diameter of pipe is 15 cm, then the heat transfer coefficient (in W/m²K) will be _____.

Question 6

An engine is working on air-std diesel cycle. The engine has bore 300mm, stroke 370 mm and clearance volume is 1550 cm³. If the cut-off value is 5% of stroke volume the efficiency of engine will be

Question 7

Cinsider the 2-D steady flow field

V=(2xy-5y²)i+(4x²+3xy)j

The number of stagnation points in the flow field is

Question 8

A cantilever beam is made up of two different materials as shown. Material AB has flexural rigidity EI while theoretical flexural rigidity of section BC is infinite. The deflection at the end is

Question 9

An ECM process is carried out with an iron plate (atomic weight=56gm, valency =2) with an electric current of 480 Ampere. The density of the iron is equal to 7.6 gm/cm³. Using faraday law of electrolysis, Find the material removal rate in ______ cm³/sec.

Question 10

The following table shows the grade points in each subject in different semesters. A student has to select one and only one elective in each semester and same elective should not be selected in different semester.

The maximum expected total points is

Question 11

At a production machine, parts arrive according to a Poisson process at the rate of 0.35 parts per minute. Processing time for parts have exponential distribution with mean of 2 min. What is the probability that a random part arrival ﬁnds that there are already 8 parts in the system?

Question 12

Five jobs are to be assigned at a particular firm. Their work (processing) time and due dates are given in the following table. If the sequence of processing is according to earliest due date (EDD) then the average no. of jobs in the system is

Question 13

Environment friendly refrigerant R134a is used in the new generation domestic refrigerators. Its chemical formula is ________.

Question 14

2 kg of air initially at 7 bar pressure and 400 K expands polytropically (PV^1.2 = Constant) until the pressure is reduced to one-fifth value.The change in entropy (in kJ/K ) is _____. (Take R= 0.287 kJ/kgK and γ=1.4)

Question 15

In a jet engine, the front of engine acts as a diffuser and receives air at 900 km/h, -5^oC , 50 kPa. It brings it to 80 m/s relative to the engine before entering the compressor. If the flow area is reduced to 80% of the inlet area,the pressure (in KPa) at the compressor inlet is _____. (Assume no heat transfer)

Question 16

If young’s modulus of elasticity of a material is 140 GPa and Bulk modulus is 70 GPa, what will be the Poisson’s ratio (μ)?

Question 17

Steel bar ABC 16m long having cross-sectional area $Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image100.png$ weigth 40 N as shown in the figure. If the modulus of elasticity for the bar material is 200 GPa. The deflction at B is
$Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\04_SOM_BLok_files\image101.png$

Question 18

An oil, having specific gravity 0.85 and kinematic viscosity 1 stoke, flows with undisturbed velocity of 8 m/s. A plate 0.7 m × 0.4 m is placed longitudinally in the stream of the oil. The value of shear stress at the middle of the plate is

Question 19

An inverted U-tube manometer is used to measure the pressure difference between two pipes A and B, as shown in the figure. Pipe A is carrying oil (specific gravity = 0.8) and pipe B is carrying water. The densities of air and water are 1.16 kg/m³ and 1000 kg/m³, respectively. The magnitude of pressure difference between pipes A and B is __________kPa.

Acceleration due to gravity g = 10 m/s².

Question 20

A machine of 100 kg mass is supported on four springs, each of stiffness 200 N/mm. Machine has an unbalanced rotating force of 250 N at speed of 1800 rpm. Taking the damping ratio equal to 0.2, the transmissibilitng ratio is

Question 21

In a machining experiment, the tool life was found to vary with cutting speed in following manner

If tool changing time is 3 minutes, then the optimum value of cutting speed (in m/min) for maximum productivity is

Question 22

For counter flow heat exchanger with one of the fluid remains in its stagnation temperature, the effectiveness of the heat exchanger is 0.643. If overall heat transfer coefficient is 40 W/m²℃ and the smaller heat capacity value is 245 and diameter of the 140 tubes is 20 mm. What will be the length of the tube?

Question 23

The tension in member AD and BC members are

Question 24

A Diesel engine has a compression ratio of 25 and cut-off takes place at 5% of the stroke. Calculate the air-std efficiency. Assume γ = 1.4.

Question 25

A journal bearing is loaded with a radial load of 30 kN. The journal diameter and length both are 100 mm and it rotates at 1200 rpm. The heat is dissipated from the surface at the rate of 96 J/m²/sec./ °c. The bearing housing is 20 times the projected area. If coefficient of friction is 0.003 and room temperature is 35 °c, then the surface temperature of the bearings is _____ °c.

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