GATE 2021 ME : Toppers Quiz 31 (App update required to attempt this test) for ESE & GATE ME Exams

Question 1

Angular acceleration of a link AB is given by

Question 2

Assigning the basic dimesion to mass, length, time and temperature respectively as M,L, T and

(Temperature), what is the dimesion of entropy?

Question 3

A fluid is flowing over a flat plate. At distance of 8 cm from the leading edge, the Reynolds number is found to be 25600. The thickness of the boundary layer at this point is

Question 4

Which one of the following accessories is connected to the steam supply pipe line to maintain constant pressure?

Question 5

The core in the centrifugal casting is made of ________.

Question 6

In a ball bearing if load is doubled then life is

Question 7

A wagon of mass 1000 kg moves with a velocity of 50 km/h on smooth horizontal rails. A mass of 250 kg is dropped into the wagon.The velocity (in km/h) with which the system now moves is ____.

Question 8

To get supersonic velocity of steam at nozzle exit with a large pressure drop across it, the duct must

Question 9

Who said the following theorem?
Deflection of the point of application of an external force acting on a beam is equal to the partial derivative of the work of deformation with respect to this force.

Question 10

A reversed Carnot cycle working as a heat pump has a COP of 7. What is the ratio of minimum to maximum absolute temperatures?

Question 11

A Quick return mechanism is shown below.The value of $Description: Description: 01_Tom-vibration_BLok_files\image094.png$ will be _________ (in degrees) stroke=60 cm
Length of slotted lever = 50 cm
$Description: Description: 01_Tom-vibration_BLok_files\image095.png$

Question 12

Oil of viscosity 0.15 Pa-s and specific gravity 0.90, flows through a horizontal pipe of 30 mm diameter. If the pressure drop per meter length of the pipe is 15 kPa. Determine the Reynolds number of the flow __________.

Question 13

The annual demand for an item is 10,000 units. The unit cost is Rs. 100 and inventory carrying charges are 14.4% of the unit cost per annum. The cost of one procurement is Rs. 2000. The time between two consecutive orders to meet the above demand is _______ months.

Question 14

Which of the following correctly represents the view factor matrix of two infinitely long flat plates facing each other (non-facing side of each plate is insulated)?

F =

Question 15

Which of the following graphs correctly illustrate the variation of pressure angle with time for an involute teeth meshing?

Question 16

For a Kaplan (axial flow) turbine, the outlet blade velocity diagram at a section is shown in figure.

The diameter at this section is 3 m. The hub and tip diameters of the blade are 2 m and 4 m respectively. The water volume flow rate is 100 m³/s. The rotational speed of the turbine is 300 rpm. The blade outlet angle β is _____ degrees (round off to one decimal place).

Question 17

A vapour absorption refrigeration system works with generator, ambient and evaporator temperature as 360 k, 310 k and 260 k respectively. If the evaporator temperature falls to 240 k what should be the generator temperature in order to operate the system with same COP in Kelvin?

Question 18

In an air standard diesel cycle the compression begins at 0.2 MPa, 50ºC and 1500 kJ/kg heat is added. Assume the compression ratio is 12. The maximum temperature (in ºC) in the cycle is (For air, C_p = 1.005 kJ/kg K, C_v = 0.718 kJ/kg K)

Question 19

In a certain machining operation with a cutting speed of 50 m/min, tool life of 45 minutes was observed. When the cutting speed was increased to 100 m/min, the tool life decreased to 10 minutes. The cutting speed for maximum productivity of tool change time is 2 minutes will be _________ m/min.

Question 20

Step angle of the stepper motor is

degrees per pulse and the pitch of lead screw is p mm. If gear ratio is G, then number of pulses required to achieve a linear movement of x mm is,

Question 21

Consider the following PERT network:

The critical path duration of the network (in days) is _______.

Question 22

The inlet condition of a Brayton cycle with perfect regenerator (heat exchanger) is 100 Kpa and 300 K. If the temperature at the end of expansion is 600 K and higher pressure is 200 Kpa. Find the amount of heat exchange by the regenerator (in KJ/kg) _________.

Question 23

There is a rotating bar made up of steel σ_ut = 650 MPa. which is subjected to a completely reversed bending stress. The corrected endurance limit of the bar is 300 MPa. The fatigue strength of the bar for a life of 100000 cycles will be_____ ( in MPa)

Question 24

The change in tool life when the cutting velocity is increased by 30%.

(Take n = 0.45 , C = 420)

Question 25

A cylindrical vessel of 1 m diameter has water in it to a height of 2 m. Oil of relative density 0.75 is kept over the water column for another 1 m. Above the oil, a dead weight of 7 kN, base diameter 1 m is placed. The total hydrostatic force and the ‘centre’ of pressure on a gate 30 cm in diameter placed along the vertical surface of the vessel such that the lowest point of the gate is on the base of the vessel will be?