GATE 2021 ME : Toppers Quiz 29 (App update required to attempt this test) for ESE & GATE ME Exams

Question 1

The Stefan-Boltzmann constant has units of

Question 2

One of the methods used in Group technology is:

Question 3

Unit of section modulus is______.

Question 4

What type of boiler is a Lamont boiler?

Question 5

Which micro-structure γ-Austenite has ______.

Question 6

The mercury does not wet a glass due to ________?

Question 7

The kinetic energy of a body rotating with an angular speed

depends on

Question 8

Which of these is a stationary boiler?

Question 9

Deflection curve is also called as

Question 10

Which of the following is true _________?

Question 11

A disk clutch is required to transmit 10 kW at 1000 rpm. Coefficient of friction lining is 0.2. Outside radius of friction lining is 60 mm. If uniform contact pressure is 1.2 MPa, then the bore radius of friction lining is _____ mm.

Question 12

A Rigid link PQ of length 2 m rotates about the pinned end Q with a constant angular acceleration of 12 rad/s². When the angular velocity of the link is 4 rad/s, the magnitude of the resultant acceleration (in m/s²) of the end P is ___________.

Question 13

A Pelton turbine is to operate under a net head of 500 m at 420 rpm. If a single jet with diameter 18 cm is used, find the specific speed of the machine.

Take C_v = 0.98, velocity ratio= 0.45 and overall efficiency η₀ = 0.85.

Question 14

A model boat, 1/100 size of its prototype has 0.12 N of resistance when simulating a speed of 5 m/s of the prototype. Water is the fluid in both cases. What is the corresponding resistance in the prototype? [The frictional forces can be neglected].

Question 15

Consider the following activity of a certain network:
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Then the value of
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Question 16

Using Hungarian Method solve the following problem

Where A, B, C and D denote the factories and 1, 2, 3 and 4 denote the products required by a firm. The table shows the time (in hours) taken by a factory to deliver a particular product. Find the optimal allotment.

Question 17

An unknown mass m is attached to one end of a spring of stiffness k having natural frequency of 6Hz. When 1 kg mass is attached with m the natural frequency of the system is lowered by 20%. Determine the value of unknown mass m and stiffness k (in kg and N/m respectively.)

Question 18

A cubical block of aluminum of side 220 mm is placed at a depth of 4 km in sea water. The change in the volume of block (in mm³), when placed in sea water is (take mass density of sea water is 1020 kg/m³, E_Al = 70GPa, Poisson ratio = 0.25)

Question 19

A Roller bearing has a basic dynamic load rating of 50 kN. If the equivalent radial load on the bearing in 70 kN, the expected life in (10⁶ revolutions) is

Question 20

In air standard diesel cycle, compression ratio is 16. Temperature and pressure before isentropic compression is 15^oC and 0.1MPa respectively. Maximum temperature in the cycle is 1480^oC. The efficiency in % of the given cycle is ________?

(=1.4)

Question 21

Consider the arrangement shown in the figure below where J is the combined polar mass moment of inertia of the disc and the shafts. K₁, K₂, K₃ are the torsional stiffness of the respective shafts. The natural frequency of torsional oscillation of the disc is given by
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Question 22

A rigid insulated tank contains 1 kg of air at 2 bar and 27 °C. A paddle wheel inside the tank is rotated by an external motor till the temperature rises to 77 °C. The exergic efficiency of the process is ________ %.
[Assume surrounding air is at 27 °C and C_v for air = 0.72 kJ/kg °C]

Question 23

A full journal bearing with a journal of 100 mm diameter and a bearing of 150 mm length is subjected to 5000 N at 500 rpm. The viscosity of oil is 20 × 10^–3 kg/m-sec. If radial clearance is 0.04 mm, then the Sommerfeld number is _________.

Question 24

Water

at 80 °C enters a counterflow heat exchanger with a mass flow rate or 0.5 kg/s. Air

enters at 30 °Cwith a mass flow rate of 2.09 kg/s. If the effectiveness of the heat exchanger is 0.8, the LMTD (in °C) is

Question 25

Dew point temperature of air at one atmospheric pressure (1.013 bar) is 18 °C. The air dry bulb temperature is 40 °C. The saturation pressure of water at 18 °C and 30 °C are 0.02062 bar and 0.04241 bar respectively. The specific heat of air and water vapour respectively are 1.005 and 1.88 kJ/kg k and the latent heat of vaporization water of 0 °C is 2500 kJ/kg. The specific humidity (kg/kg of dry air) and enthalpy (kJ/kg of dry air) of this moist air respectively, are