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GATE ME 2019: Topper's Quiz-2 (App update required to attempt this test)

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Question 1

Consider a function

which depends on position

and time

The partial differential equation

is known as the

Question 2

An open cylindrical tank is rotated about its vertical axis with a speed of 20 rad/s. If the radius of cylindrical tank is 30 cm, height of the Paraboloid in meters is (Assume g=10m/S²).

Question 3

If the reliability of one ball bearing is 97.7%,then find the number of ball bearings in a system of ball bearings having total reliability 80%. Enter the value. (NAT 2 marks)

Question 4

Statement 1: The maximum and minimum values of normal stresses occur on planes of zero shearing stress.
Statement 2: The values of shear stress is zero on the principal planes.

Question 5

Annual demand of a product is 50000 units and the ordering cost is Rs. 7000 per order. Considering the basic economic order quantity model, the economic order quantity is 10000 units When the annual inventory cost is minimized, the annual inventory holding cost (in Rs.) is ______

Question 6

Match list-I (Surface with orientations) with List-II (Equivalent emissivity) and select the correct answer using the codes given below the lists :
List-I
A- Infinite parallel planes
B- Body 1 completely enclosed by body 2 but body 1 is very small
C- Radiation exchange between two small gray bodies.
D- Two concentric cylinders with large lengths.
List-II
1- $Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\08_Heat-Transfer_BLok_files\image024.png$
2- $Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\08_Heat-Transfer_BLok_files\image025.png$
3- $Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\08_Heat-Transfer_BLok_files\image026.png$
4- $Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\08_Heat-Transfer_BLok_files\image027.png$

Question 7

A long, square wooden block of side 1 m is pivoted along one edge o. The block in equilibrium when immensed in water to the depth as shown in figure.
$Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\07_Fluid-Mechanics_BLok_files\image069.png$
The specific gravity of wood. If friction in the pivot is negligible is ________.

Question 8

A reel of mass ‘m’ and radius of gyration ‘k’ is rolling down smoothly from rest with one end of the thread wound on it held in the ceiling as depicted in the figure. Consider the thickness of the thread and its mass negligible in comparison with radius ‘r’ of the hub and the reel mass ‘m’. Symbol ‘g’ represents the acceleration due to gravity.
$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME-28-Mar\GATE-ME-2003_files\image355.jpg$

The linear acceleration of the reel is

Question 9

From the lists given below, choose the most appropriate set of heat treatment process and the corresponding process characteristics ______.

$Description: D:\GradeStack Courses\GATE Tests (Sent by Ravi)\GATE ME 18-Mar\GATE-ME-2004_files\image324.png$

Question 10

The initial velocity of an object is 40 m/s. The acceleration a of the object is given by the following expression:
a = -0.1v,
where v is the instantaneous velocity of the object. The velocity of the object after 3 seconds will be ____

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