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GATE ME 2019: Topper's Quiz-5

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Question 1

Lead is having FCC structure with interatomic distance of 4.599 Ȧ. Find the area of the given plane.(in mm2)

Question 2

A mercury- oil differential manometer measures a 35 cm difference of mercury level. Mercury has specific gravity 13.6 and oil has has specific gravity 0.8. What is the difference in pressure head (m of oil) ?

Question 3

A steel fin of equilateral triangular cross section of side 13 mm with thermal conductivity of 400 W/m . The fin is 100 mm long with an insulated end, it is exposed to surrounding with temperature 27 and heat transfer coefficient of 100 W/m2 .But if instead of triangular fin , circular fin of same cross sectional area with 5 % longer length is used what would be % change in efficiency of fin.

Question 4

A full journal bearing of 50 mm diameter and 100 mm long has a bearing pressure of 1.4 N/mm2. the speed of journal is 900 rpm and the ratio of journal diameter to the diameteral clearance is 1000. The oil is lubricated with oil whose absolute viscosity at the operating temperature of 75 ºC may be taken as 0.011 kg/m-s. the room temperature is 35 ºC, heat capacity of lubricating oil given as 250 W/m2k. find the mass of the lubricating oil required if the difference b/w the outlet and inlet temperature of the oil is 10 ºC,if Cof coolent is 1.8 kJ/kg-k.

Question 5

For a shaping operation, following data is given

The unit power consumption is given by

where t1 is uncut thickness in mm.
The total power consumption in W is ______.

Question 6

A cylinder of diameter 100 mm and height 50 mm is melted and casted into a sphere of uniform density. If the melting time takes 1 min, diameter of sprue base is 5 mm and height of pouring basin is 20 mm, solidification for conversion of factor is 0.97 × 106 s/m2, the total time for conversion of solid cylinder to solid sphere will be ____ s.
[Neglect any time losses]

Question 7

Consider a parallel-flow heat exchanger with area Ap and a counter-flow heat exchanger with area Ac. In both the heat exchangers, the hot stream flowing at 1 kg/s cools from 80 to 50 . For the cold stream in both the heat exchangers, the flow rate and the inlet temperature are 2 kg/s and 10 , respectively. The hot and cold streams in both the heat exchangers are of the same fluid. Also, both the heat exchangers have the same overall heat transfer coefficient. The ratio is ________ .

Question 8

In two air standard cycles – one operating on the Otto and the other on the Brayton cycle – air is isentropically compressed from 300 to 450 K. heat is added to raise the temperature to 600 K in the Otto cycle and to 550 K in the Brayton cycle.
If Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image251.pngo and Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2005_files\image251.pngB are the efficiencies of the Otto and Brayton cycles, then

Question 9

If screw threads are used where power needs to be transmitted in a single direction, then which among following screw threads is used?

Question 10

What is the natural frequency of the spring mass system shown below? The contact between the block and the inclined plane is frictionless. The mass of the block is denoted by m and the spring constants are denoted by Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-ME-2014-Set-2_files\image135.png and Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-ME-2014-Set-2_files\image136.png as shown below.

Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE-ME-2014-Set-2_files\image137.png
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Apr 23ESE & GATE ME