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GATE 2020: Toppers Quiz 9 (App update required to attempt this test)

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Question 1

A 30 cm diameter pipe is reduced to 15 cm diameter through gradual contraction. At this contraction, the difference between the Piezometric heads at the main and the contracted session is 50 mm of mercury. Neglecting losses, the discharge of water will be approximately

Question 2

From a point, on a smooth floor, a toy ball is shot to hit a wall. The ball then returns back to the point of projection. Find the coefficient of restitution between the ball and the wall if the time taken by the ball in returning is thrice the time taken in reaching the wall

Question 3

Air at 27 °C is filled in a pressure cooker of 1000 cm3 at an initial pressure of 1 bar. The pressure cooker is attached with a whistle of mass 100 g with a base area of 5 mm2. How much heat should be supplied to the air before whistle just begins to blow?

Question 4

If Prandtl number is 0.064 and friction coefficient is 0.64, Stanton number will be equal to___.

Question 5

Consider the given project network where number along various activities represent normal time.
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The Independent float on activity 5 - 7 is _____.

Question 6

The triaxial state of stress developed at a point is as given.

σx =90ρMPa,   σy = 75ρMPa,    σz = 105ρMPa

The yield strength in tension is 250 MPa & Poisson’s ratio is 0.25. Find the value of ρ according to Total strain Energy theory.

Question 7

Determine the minimum number of stage require in a air compressor in which air enters at a pressure of 1 bar and temperature at 27 0C and delivers at 81 bar. The maximum discharge temperature is limited to 100.72 0C and consider the index of polytropic compressor is 1.25 assuring perfect and optimum intercooling between stages

Question 8

The blade inlet and outlet velocity triangle for impulse turbine is shown in figure. At the inlet of turbine rotor the blade linear speed is 30 m/s. The magnitude of absolute velocity at inlet and outlet is 120 m/s and 70 m/s respectively.
The hydraulic efficiency (in %) is

Question 9

A cast steel slab of dimension 402010 cm, is poured horizontally using side riser. The riser is cylindrical in shape with diameter and height both equal to 20 cm.Then the freezing ratio is___.

Question 10

Consider a cantilever beam, having neglible mass and uniform flexural rigidity, with length 0.01m. The natural frequency of vibration of the beam, with 0.5kg mass attached at the free tip is 100Hz. The flexural rigidity (in Nm2)of the beam is

Question 11

A cylinder of thickness 1.5 cm, has to withstand maximum internal pressure of 1.5 N/mm2. If the ultimate tensile stress of the material is 300 N/mm2  having factor of safety 3.0. If the joint efficiency is 80%, find the internal diameter of cylinder.

Question 12

What will be change in entropy of the system if a piston-cylinder arrangement contains 0.06 m3 of Nitrogen at 1bar and 295K is compressed isothermally until the pressure of the gas becomes 6 bar.
 

Question 13

A concentrated load F acts on a simply supported beam of span L at a distance L/4 from the left support the bending moment at the point of application of load is given by _________.

Question 14

List 1 shows the codes of CNC machine and list 2 shows the functions associated with them. Match the two accordingly

List-1

P). G 33

Q). G 35

R). G91

S). G 80-89

List-2

1). Incremental input dimensions

2). Canned cycles

3). Constant lead thread cutting

4). Linearly decreasing lead thread cutting

Question 15

The specific humidity of moist air is 0.0107 kg/kg of dry air . The total atmospheric pressure is 98.75 kPa. The saturation temperature (in °C) is______.(use linear interpolation if needed)
 
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