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GATE ME 2019: Topper's Quiz-12 (App update required to attempt this test)

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Question 1

If the Poisson’s ratio of an elastic material is 0.4, the ratio of modulus of rigidity to Young's modulus is

Question 2

In a slider crank mechanism the length of the crank is 10cm and length of the connecting rod is 100cm, if the crank is rotating at 25 rad/s and it makes an angle 30 degree from the inner dead centre. Find the angular velocity of the connecting rod in rad/s.

Question 3

In rolling operation, diameter of roll is 200 mm, thickness of strip is 12 mm. Considering 20 % reduction in the thickness, the roll strip contact length?

Question 4

For a plain milling cutter have federate of 5.6 mm per tooth. The depth of cut is 2.6 mm and the cutter diameter is 102 mm. Assuming entire cutter is inside the work material. Find the maximum uncut chip thickness (in mm)________.

Question 5

The initial feasible solution to a transportation model problem can be determined by the application of which of the following methods.

Question 6

In a manufacturing shop, cost of idle machine is rs. 600 per hour. Due to machine breakdown, two mechanic A and B with different skills are considered to be hired. A takes 10 minutes on an average to repair a machine and take salary of 150 Rs. /hour. B takes 8 minutes on an average to repair the machine and takes salary of 225 Rs. per hour. If work shift of shop is 8 hour and machine breakdown takes place at an average rate of 4 machine per hour, than the minimum cost to the manufacturing shop will be

Question 7

In a counter flow heat exchanger, oil (Cp= 2.3 kJ/kg-K) is cooled from 450 to 330 K, while water (Cp = 4.2 kJ/kg K) is heated from 298 K to 320K. The respective mass flow rates of oil and water are 800 and 3200kg/h. Neglecting pressure drop, KE and PE effects and heat loss, determine second law efficiency.( To= 290K)

Question 8

For a composite slab as shown in the figure below Find the intermediate temperature Ti in degree C

Question 9

In a single pass rolling process using 410 mm diameter steel rollers, a strip of width 140 mm and thickness 8 mm undergoes 10% reduction of thickness. The angle of bite in radians is

Question 10

In a pipe of uniform diameter d and length l fluid flows out longitudinally at uniform rate along its entire length such that at the pipe end there is no outflow laterally. Find the head loss due to friction, assuming constant friction factor.

Question 11

A pipe of length 4.7km connects two reservoirs. The pipe consists of a 220mm diameter pipe for the first 1.6km and for the rest of the distance 140mm diameter pipe is laid. The water surface levels above the pipe openings are 6m in the upper reservoir and 3.7 m in the lower reservoir. Taking f= 0.024 for both pipes and C_c= 0.6, calculate the rate of discharge (in m³/s) through the pipeline considering all minor losses.

Question 12

Two gears gear1 and gear2 are in arrangement having speeds of 2400 rpm and 1200 rpm. If there is a loss of while transmitting power and the transfer efficiency is 90 %. Find the ratio of torque transmitted by gear1 to that of gear 2

Question 13

A self-aligning ball bearing has a basic dynamic load rating (

for

revolutions) of 35 kN. If the equivalent radial load on the bearing is 45 kN, the expected life (in 10⁶ revolutions) is

Question 14

Shafts of diameter

mm are assembled interchangeably with holes of diameter

mm. The minimum clearance in the assembly will be

Question 15

The voltage-length characteristic of a direct current arc in an arc welding process is V = (100+ 40l), where l is the length of the arc in mm and V is arc voltage in volts. During a welding operation, the arc length varies between 1 and 2 mm and the welding current is in the range 200-250 A. Assuming a linear power source, the short circuit current is A ____________.

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