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GATE 2021 ME : Toppers Quiz 8 (App update required to attempt this test)

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Question 1

Which theory explains microscopic level of surfaces that has crevices, cracks and pores?

Question 2

Which of the following scheduling method is accepted by default if no other method is specifically mention while solving problems in scheduling to maintain the flow of job smooth.

Question 3

The comparison of the theories of failure results in plotting various curves, as area bounded by the curve increases thus

Question 4

Calculate the capillary effects (in mm) in a glass tube of 4 mm diameter, when immersed in mercury. The temperature of the liquid is 20 °C and the values of surface tension of water and mercury at 20 °C in contact with air are 0.0735 N/m and 0.48 N/m respectively. The contact angle for mercury is 130°.

Question 5

A helical compression spring is to be designed for a force of 200N. The spring index of the spring, if mean coil diameter is 48 mm and wire diameter is 9.6 mm.

Question 6

A project consists of six activities. The immediate predecessor of each activity and the estimated duration is also provided in the table below:

If all activities other than S take the estimated amount of time, the maximum duration (in weeks) of the activity S without delaying the completion of the project is ___________

Question 7

A flat plate(3x4)m² is immersed in a liquid having constant temperature of 27

and the plate temperature is 127

if the heat transferred from the plate to the liquid at the rate of 500kW. Assume that heat transfer is at steady state. Find the heat transfer coefficient(in W/m²k ) of the liquid side ______.

Question 8

In a spring mass damper system (k=20N/m; m=2kg), The value of damped frequency (rad/sec) if the damper offers a resistance of 2N force when it vibrates with a constant velocity of 40cm/sec is:

Question 9

In an epicyclic gear train, an arm carries two gears A and B having 30 and 40 teeth respectively. If the arm rotates at 160 r.p.m. in the anticlockwise direction about the centre of the gear A which is fixed, determine the magnitude of speed of gear B in rpm .

Question 10

The tool of an NC machine has to move along a circular are from (15, 5) to (20, 10) while per forming an operation. The center of Arc is at (15, 10) and the machine has absolute mode of defining position co-ordinates, the correct tool path command is ______.

Question 11

The following information is provided for an item:
Annual usage = 12,000 units, ordering cost = Rs. 60 per order
Carrying cost = 10% of unit cost, unit cost of item = Rs. 10 and lead time = 10 days.
There are 300 working days/year. In the past two years the use rate has gone as high as 70 units per day. For a reordering system based on the inventory level, the average inventory (units) is

Question 12

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 13

In a plane strain problem in the xy plane the shear strain is given as 12×10^-6 and the normal strain in x and y direction is 0. For this state of strain, what is the radius of the Mohr’s circle of strain.

Question 14

In compressor of a Refrigerator, air enters in the axial flow compressor & leaves the compressor axially. Calculate the degree of reaction, if the component of air responsible for whirl is leaving the compressor at one-third the average blade velocity of rotor if the flow velocity at inlet and outlet remain same.

Question 15

The tool life equation for HSS tool is VT^0.14f ^0.7d^0.4 = Constant. The tool life (T) of 30 min is obtained using the following cutting conditions:
V = 45 m/min, f = 0.35 mm, d = 2.0 mm
If speed (V), feed (f) and depth of cut D. are increased individually by 25%, the tool life (in min) is

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