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GATE ME 2019: Topper's Quiz-10 (App update required to attempt this test)

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Question 1

The % of carbon in different types of steel are

Question 2

A coin placed on a rotating turn table just lips if it is placed at a distance of 4 cm from the centre. If the angular velocity of the turn-table is doubled, it will just slip at a distance of

Question 3

A centrifugal pump is designed to handle a head of 60m  under atmospheric condition. If vapour pressure of the water is 4.25 kPa at atmospheric condition and Thoma’s cavitation factor is 0.12, then NPSH will be (in m)

Question 4

If a foam insulation is added to a 4cm outer diameter pipe as shown in the figure, the critical radius of insulation (in cm) is __________ .

Question 5

The demand and forecast value for the period 1 is given as 100 and 120 units. Considering the forecasting model having coefficient α = 0.2. Find the forecasting value for the period 2, _________ using exponential method.

Question 6

An engineering material property is defined as “the capacity of retaining the deformation produced with the application of load permanently”. The property described is ______.

Question 7

A point mass is shot vertically up from ground level with a velocity of 4 m/s at time, It loses 20% of its impact velocity after each collision with the ground. Assuming that the acceleration due to gravity is and that air resistance is negligible, the mass stops bouncing and comes to complete rest on the ground after a total time (in seconds) of

Question 8

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 Cc= 0.6, calculate the rate of discharge (in m3/s) through the pipeline considering all minor losses.

Question 9

A double riveted lap joint is made between 12 mm thick plates. The rivet diameter & pitch are 20 mm & 60 mm respectively. If the ultimate stresses are 350 MPa in tension, 280 MPa in shear and 570 MPa in crushing, find the minimum force per pitch which will rupture the joint.

Question 10

A spindle is required to be turned at speed of 250 rpm from diameter of 300 mm to 150 mm. The feed rate is 20 mm per revolution. Assuming sufficient condition of cutting fluid available such that there is no built up edge formation. Find the material removal rate (in m3/sec) ___________.

Question 11

A column ABCD of rectangular section is subjected to an eccentric load marked x as shown in the figure.

Under the compressive load ,the direct stress is 400 MPa and the bending stresses are

ffσxx=(+-)1200 MPa

ffσyy=(+-)800MPa

The stress at corner A in MPa will be

Question 12

An double slider chain mechanism with the slotted link of length 5 units. A point on the link traces a curve which has a slope dy/dx =-2√3 at the point . Find the equation of the curve _________.

Question 13

In the Mollier diagram, when the entropy increases, the constant pressure line
i. In the superheated region converges to each other
ii. In the superheated region diverges to each other
iii. In wet region straight line
Which of the sentence is true?

Question 14

Temperature of nitrogen in a vessel of volume 2 m3 is 288 K. A U-tube manometer connected to the vessel shows a reading of 70 cm of mercury (level higher in the end open to atmosphere). The universal gas constant is 8314 J/kmol-K, atmospheric pressure is 1.01325 bar, acceleration due to gravity is 9.81 m/s2 and density of mercury is 13600 kg/m3. The mass of nitrogen (in kg) in the vessel is _________

Question 15

A refrigerator uses R-134a as its refrigerant and operates on an ideal vapour-compression refrigeration cycle between 0.14 MPa and 0.8 MPa. If the mass flow rate of the refrigerant is 0.05 kg/s, the rate of heat rejection to the environment is kW.
Given data:
At P = 0.14 MPa, h = 236.04 kJ/kg, s=0.9322 kJ/kg-K
At P = 0.8 MPa, h = 272.05 kJ/kg (superheated vapour)
At P = 0.8MPa, h = 93.42 kJ/kg (saturated liquid)
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