GATE 2021 ME : Toppers Quiz 27 (App update required to attempt this test) for ESE & GATE ME Exams

Question 1

Compression ratio of I.C. engine is

Question 2

The ratio of hoop stress for a thin cylindrical pressure vessels to the thin spherical vessels is

Question 3

For two infinite parallel gray planes with emissivities ∈₁= ∈₂ = 0.5, the view factor of each plate is

Question 4

A lamp is fitted vertically downward by a wire inside a lift which is moving downward with an acceleration of 5.5 m/s². If the tension in the wire is (F_T ) 12.0N, find the mass of the lamp?

Question 5

In an inert gas welding process, the commonly used gas is

Question 6

The slope of constant enthalpy lines on a T-P coordinate system is ________.

Question 7

When a rotor of mass 100 kg is mounted on a shaft, a bending deflection of 0.1 mm is observed at the place where the rotor is placed, what is the dangerous speed(rpm) of the rotor?

Question 8

The vapour compression refrigerator follows which of the following cycle

Question 9

According to Prandtl Blasius relation, the thickness of boundary layer in turbulent flow is______.

Question 10

In a Non-linearity error curve, maximum error is shown by alphabet:

Question 11

A 2 kg block is placed over a 4 kg block and both are placed on a smooth horizontal surface. The coefficient of friction between the blocks is 0.2. The acceleration of the lower block if a horizontal force of 12 N is applied to upper block is ________ m/s2. [Take g = 10 m/s²]

Question 12

A reversed Carnot cycle refrigerator maintains a temperature of -5 °C. The ambient air temperature is 35 °C. The heat gained by the refrigerator at a continuous rate is 2.5 kJ/s. The power (in watt) required to pump this heat out continuously is ____

Question 13

The torque delivered by an engine is represented by T = (1000 + 400 sin 2θ – 500 cos 2θ) Nm, where θ is the angle turned by the crank from the inner dead centre. The engine speed is 300 rpm. The mass of the flywheel is 500 kg and radius of gyration is 350 mm. The total percentage fluctuation of speed will be

Question 14

The arrangement shown in the figure measures the velocity V of a gas of density 1 kg/m³ flowing through a pipe. The acceleration due to gravity is 9.81 m/s². If the manometric fluid is water (density 1000 kg/m³) and the velocity V is 20 m/s, the differential head h (in mm) between the two arms of the manometer is _____

Question 15

Two separate slab milling operations, 1 and 2, are performed with identical milling cutters. The depth of cut in operation 2 is twice that in operation 1. The other cutting parameters are identical. The ratio of maximum uncut chip thicknesses in operations 1 and 2 is ________

Question 16

A precision instrument package (m = 1 kg) needs to be mounted on a surface vibrating at 60 Hz. It is desired that only 5% of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural frequency sig lesser than 60 Hz, so that the effect of damping may be ignored. The stiffness (in N/m) of the required mounting pad is

Question 17

A standard machine tool and an automatic machine tool are being compared for the production of a component. Following data refers to the two machines.
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The breakeven production batch size above which the automatic machine tool will be economical to use, will be

Question 18

A smooth flat plate 2 m wide and 2.5 m long is towed in oil (RD = 0.8) at a velocity of 1.5 m/s along its length. The power (in W) required for towing the plate is (v = 10^–4 m²/s).

Question 19

As per the definition of Gibb’s phase rule, in a binary system, the number of Degree of Freedom (D.O.F) of a eutectic point is ________.

Question 20

The figure shows a pair of pin jointed gripper tongs holding an object weighing 2000 N. the coefficient of friction ( $Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image158.png$ ) at the gripping surface is 0.1XX is the line of action of the input force and YY is the line of application of gripping force. If the pin joint is assumed to be frictionless, the magnitude of force F required to hold the weight is

Question 21

Air in a room is at 35 °C and 60% relative humidity (RH) The pressure in the room is 0.1 MPa The saturation pressure of water at 35 °C is 5.63 kPa. The humidity ratio of the air (in grain/kg of dry air) is___

Question 22

A casting of size 100 x 50 x 50 cm was filled by top gates with manometric height in pouring basin to be 25 cm. find the time (in sec) to fill the casting. The area of gate is 5 square cm.

Question 23

A bank employs one person at enquiry window. On an average 15 customers arrives in an interval of 15 minutes while the person can serve 20 customers in 15 minutes. The average queue length and average time a customer spends in the system (in minutes), respectively, will be (Assume Poisson distribution for arrival rate and exponential distribution for servicing)

Question 24

What are the upper and lower limits of the shaft represented by 60 f₈?
Use the following data:
Diameter 60 lies in the diameter step of 50-80 mm.
Fundamental tolerance unit, I, in μm = 0.45D^1/3 + 0.001 D, where D is the representative size in mm;
Tolerance value for IT8 = 25i, Fundamental deviation for ‘f’ shaft = -5.5D^0.41

Question 25

In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at 100 rpm. Let the number of teeth on the sun, planet and outer gears to be 50, 25, and 100, respectively. The ratio of magnitudes of angular velocity of the planet gear to the angular velocity of the carrier arm is _________.