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GATE 2020 Toppers quiz 20 (App update required to attempt this test)

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Question 1

The dimensions of a cylindrical side riser (height =diameter) for a 25 cm × 15 cm × 5 cm steel casting are to be determined. For the tabulated shape factor values given below, the diameter of the riser (in cm) is__________

Question 2

In a new temperature scale say °ρ, the boiling and freezing points of water at one atmosphere are 100 °ρ and 300 °ρ respectively.The reading of 0°ρ on the Centigrade scale will be

Question 3

A shaft of diameter D is subjected to a torque T. To have the angle of twist four times as that before, the percentage reduction in diameter needed is ________.

Question 4

5 kg of water at 27 °C is mixed with 10 kg of water at 97 °C in a steady flow process. If room temperature is 27 °C then the unavailable energy with respect to the water at 27 °C is

Question 5

A two stage vapour compression plant with a direct contact heat exchanger uses R-12 as refrigerant. The evaporator and condenser temperature are -30

and 40

respectively. The condenser and evaporator pressure are 15.5 bars and 1.2 bars respectively. If the capacity of the plant is 25 tonnes of refrigeration then the COP of the plant is _____(take 1 tonnes of refrigeration=14000 kJ/h)
Given data:

Question 6

Liquid sodium is to be heated from 128 ºC to 149 ºC at a rate of 2.7kg/sec in 28mm tube at constant heat flux. Calculate minimum length of the tube if wall temperature does not exceed 185 ºC. (Properties of sodium, at 138.5 ºC: ƿ= 916kg/m³ , pr= 0.089, kinematic viscosity=0.185×10^-6 m²/s, C_p= 1.5678kJ/kg-ºC, k= 86.7W/m-ºC.
Assume Nu= 4.82+0.0185

Where pe = peclet number

Question 7

A circular shaft subjected to twisting moment result in maximum shear stress of 50 MPa. Then the maximum compressive stress in the material is

Question 8

A simple mechanism with all link constrained to move in one direction only has 5 links, another mechanism with similar configuration has 6 links. What is the ratio of number of instantaneous centre of the two mechanisms?

Question 9

The average heat produced by oranges ripening is estimated to be 300 W/m2. Taking the average size of an orange to be 8 cm and assuming it to be a sphere with k = 0.15 W/m-K, the temperature at the centre of orange when outer surface is maintained at 10 °C is

Question 10

A column (E= 200GPa) fixed on both ends, its height is 1m and cross-section is 15mm×30mm. Critical buckling load in kN which the column withstands____________

Question 11

Find efficiency of reheat cycle as shown below. Pump work is 20 kJ/kg and steam flow rate is 2 kg/s. Find efficiency of the cycle.

Question 12

Find the amount of work supplied by the engine (in kW) if fuel of Calorific Value 45 MJ burns at a rate of 3kg/min in an Air Standard Otto cycle of compression ratio 7.

Question 13

Match the curves labelled A, B, C and D in figure with the types of fluid and select the correct answer:

1) Bingham plastic fluid

2) Ideal fluid

3) Shear thickening fluid

4) Pseudoplastic

5)Thixotropic

Question 14

A banner hoarding having dimensions 2m*2m is kept vertical by a 5m long pillar. Air blowing at 5 m/s is striking directly to the banner. If the maximum moment the pillar can withstand is 100 Nm. To reduce the drag force holes need to be cut out from the hoarding with a punch of 10 cm diameter. If the air drag coefficient is 0.5, then the total number of holes need to be cut out are

Question 15

A jet of water of 20 mm in diameter impinges on a fixed smooth curve vane at its centre on the concave side and deflected by 160

. The reaction of vane was 20 N when the discharge from jet was 2 litre/s. The ratio of theoretical to actual force of jet is

Question 16

In a Hartnell governor with the range of speed is zero, when the radius of rotation of mass of ball is 40 mm the downward spring force is 120 N and when the radius of rotation is 60 mm the downward spring force is (in N) ______________.

Question 17

The hole dimension is

mm and the shaft dimension is

mm.
The resulting assembly has______.

Question 18

A spur gear is designated as
Module = 2 mm
Tooth thickness = 4 mm
Tooth length = 12 mm
Face width = 24 mm
Beam strength = 1.5 MPa
The Lewis form factor is_______.

Question 19

A block is moving on a inclined plane making an angle 45 ° with the horizontal and the coefficient of friction is

. The force required to push up the inclined plane is 3 times the force required to just prevent it from sliding down. Then

Question 20

The 4 jobs A, B, C and D are processed on 5 machines and the processing time of jobs on different machines is shown in following table:

According to Johnson’s rule the optimal job sequence is

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