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GATE 2020:Topper Quiz 11 (App update required to attempt this test)

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Question 1

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 2

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 3

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

Question 4

2 kg of air initially at 7 bar pressure and 400 K expands polytropically (PV1.2 = 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 5

In a jet engine, the front of engine acts as a diffuser and receives air at 900 km/h, -5oC , 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 6

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 7

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 8

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 9

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 10

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 11

A rigid link PQ is 2m long and oriented at 200 to the horizontal as shown in the figure. The magnitude and direction of velocity VQ, and the direction of velocity VP are given. The magnitude of VP in (m/s) at this instant is.

Description: Description: 01_Tom-vibration_BLok_files\image060.png

Question 12

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 13

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 14

The tension in member AD and BC members are

Question 15

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.
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