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GATE 2020: Toppers Quiz 10 (App update required to attempt this test)

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Question 1

Two members are connected with initial axial tightening force of 3 kN. The external force acting on the assembly is 10 kN. The bolt is made of plain carbon steel (σyt = 400 MPa) and factor of safety is 3. The effective stiffness of the parts held together by the bolt is 3 times the stiffness of the bolt. The diameter(in mm) of the bolt is:

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Question 2

A stepped cantilever is subjected to moments as shown. The vertical deflection at free end is __________.

Question 3

The magnitude of force in member BD (in KN) is ____

Question 4

A cube and a sphere made or cast iron (each of volume 1000 cm³) were cast under identical conditions. The time taken for solidifying the cube was 4 s. The solidification tune (in s) for the sphere is _________.

Question 5

A four stroke double acting petrol engine is used 90 kW brake power on a job. The engine used 40 kg/h of fuel under working condition and its mechanical efficiency is 75%. If the engine friction power reduces by 10 kW then the saving of fuel (in kg/h) is (assume, indicated thermal efficiency remain constant)

Question 6

A spindle is required to be turned at speed of 250 rpm from diameter of 300mm to 150 mm. The depth of cut for the turning operation is 25 mm and feed rate is 10 mm per revolution. Assuming sufficient condition of cutting fluid available such that there is no built up edge formation. Find the material removal rate in mm3/sec.

Question 7

A compressor of a refrigerator is running at 250 rpm having a single cylinder compressor. The volumetric efficiency of the compressor is 90 %. Mass flow rate and specific volume at the inlet of the compressor is 0.6 Kg/s and 0.027 m3/Kg . If the diameter of the cylinder equal to length of the cylinder. Find the the diameter of the cylinder of the compressor in cm.

Question 8

A turbine

=0.08 is to be installed where barometric pressure is 10.3 m of water. Net head available to turbine is 60 m and Vapour Pressure is 2.4 m of water. Maximum permissible height (in m) of turbine rotor is

Question 9

A 1000 Ω resistor carrying a current of 10 A for 2 sec is kept at a constant temperature of 27 °C by a stream of cooling water. Entropy change of the universe is ________ J/K.

Question 10

A gas turbine power plant operates on the Brayton cycle between T_min = 300 K and T_max = 1200 K. The ratio of maximum cycle efficiency of Brayton cycle to the Carnot efficiency of the cycle operating between the same two temperatures is __________.

Question 11

Force (in kN) needed to hold the bottom plate A filled with water in the given fixed position. The thickness of the plate into the paper is 1 m?

Question 12

A retail company has the following data available for one of its items. Demand is 10000 units, order cost=Rs 20;Inventory carrying cost=Rs 6.25.The number of orders per year are

Question 13

Air of mass 2.5kg at 5 bar, 100 °C expands adiabatically is a closed system until its volume is doubled and its temperature becomes equal to that of the surroundings which is at 1 bar, 10 °C. For this process determine the maximum work.
For air (Cv= 0.718kJ/kgK, R= 0.287kJ/kgK)

Question 14

A spherical shaped orange (k= 0.3W/m℃) 80mm in diameter undergoes ripening process and generates 5000W/m³ of energy. If external temperature of orange is 10℃ and it is surrounded by air having heat transfer coefficient 20W/m²-k then the maximum temperature (℃) in at the centre of orange will be

Question 15

A slider crank mechanism as shown below having ratio of length of coupler and radius so large that secondary forces acting on the slider may be neglected.If the radius of the crank is 25mm and angular velocity of 10 rad/s making angle of 30 degree with positive x axis. Find the acceleration of the slider in m/s²

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