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GATE 2020: TOPPERS QUIZ 15 (App update required to attempt this test)

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Question 1

The state of plane-stress at a point is given by σ_x = −200MPa, σ_y = 100MPa and τ_xy = 100MPa. the maximum shear stress in MPa is

Question 2

A circular metallic rod of length 250 mm is placed between two rigid immovable walls as shown in the figure. The rod is in perfect contact with the wall on the left side and there is a gap of 0.2 mm between the rod and the wall on the right side. If the temperature of the rod is increased by 200 ° C, the magnitude of axial stress developed in the rod is MPa.
Young’s modulus of the material of the rod is 200 GPa and the coefficient of thermal expansion is 10^-5 per °C.

Question 3

Estimate the metal removal rate (in cc/hr) of an alloy containing 18% Cobalt, 62% Nickel and 20% Chromium during Electrochemical Machining (ECM) with a current of 500 Amperes. The density of the alloy is 8.28 gm/cc. The following data is available:

Question 4

A punching press is required to punch 40 mm diameter holes in a plate of 15 mm thickness at the rate of 30 per minute. It requires 6 N-m of energy per mm² of sheared area. If the punching takes

th of a second and the rpm of the flywheel varies from 160 to 140, the mass of flywheel having radius of gyration of 1m is

Question 5

A solid shaft of diameter, d and length, L is fixed at both the ends. A torque, T₀ is applied at a distance, L/4 from the left end as shown in the figure given below.
The maximum shear stress in the shaft is

Question 6

The pressure, temperature and velocity of air flowing in a pipe are 5 bar, 500 K and 50 m/s. respectively. The specific heats of air at constant pressure and at constant volume are 1.005 kJ/kgK and 0.7 18 kJ/kgK, respectively. Neglect potential energy. If the pressure and temperature of the surroundings are 1 bar and 300 K, respectively, the available energy in kJ/kg of the air stream is

Question 7

A gas having a negative Joule-Thompson coefficient (μ < 0), when throttled, will

Question 8

In an ideal diesel cycle, the pressure and temperature are 1.03 bar and 27 ºc respectively. The maximum pressure in the cycle is 47 bar and the heat supplied during the cycle is 545 kJ / kg. Determine the temperature at the end of constant pressure combustion ___________. Assume γ = 1.4 and C_p = 1.004 kJ / kg K for air.

Question 9

In an orthogonal machining operation:
Uncut thickness = 0.5 mm, Cutting speed = 20 m/min
Width of cut = 5 mm, Chip thickness = 0.7 mm
Thrust force = 200 N Cutting force = 1200 N
Rake angle = 15 °
Assume Merchant’s theory. The values of shear angle and shear strain, respectively, are ____________.

Question 10

Each of the two gears in a mesh has 48 teeth and a module of 8 mm. The teeth are of 20 ° involute profile. The arc of contact is 2.25 times the circular pitch. What will be the addendum in mm?

Question 11

For a vibration system, equation of motion is given as

The value of frequency of damped vibration is __________ (in rad/s).

Question 12

The following table shows the grade points in each subject in different semesters. A student has to select one and only one elective in each semester and same elective should not be selected in different semester.

The maximum expected total points is

Question 13

Using exponential smoothening of first order with α = 0.42. what will be the forecast for the month of March ______.

Question 14

For the velocity field given by

the absolute acceleration at point P (2, 3) is ________ units.

Question 15

A steel plate is subjected to a force of 10 kN and fixed to a channel by means of three identical bolts as shown below. The bolts are made from plain carbon steel (σ_yt = 380 MPa) and the factor of safety is 3. The core diameter of bolt (in mm) is
[Take τ_yt =0.5 σ_yt ]

Question 16

In a single pass rolling operation, a 20 mm thick plate with a plate width of 100 mm, is reduced to 18 mm. the roller radius is 250 mm and rotational speed is 30 rpm. The average flow stress for the plate material is 300 MPa. The power required for the rolling operation in kW is closest to

Question 17

A gas turbine plant operates on Brayton cycle between 300 K and 1073 K. The maximum work done per kg of air (in kJ) and corresponding efficiency (in %) respectively are:

Question 18

On a moist day, relative humidity of air was 70% and dry bulb temperature of air is 30°C . Saturation pressure at 30°C is 4.2461 kPa. The specific humidity in (g/kg of d.a.) is ________.

P_atm= 101.325 kPa

Question 19

Match List I with List II and select the correct answer using the code given below the lists

List-I

P. Pelton Turbine

Q. Francis Turbine

R. Kaplan Turbine

List-II

1) Adjustable blade angles

2) No cavitation

3) Draft Tube

Codes:

Question 20

Heat flows through a composite slab as shown below, The depth of the slab is 10 cm. The k values are in W/m-K. The heat flow rate through the composite wall in W is
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ESE & GATE ME General

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