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GATE 2021 ME : Toppers Quiz 20 (App update required to attempt this test)

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Question 1

In an NC machine, distance of the worktable is driven is 100 mm. Total angular motion of lead screw is 720 degrees. What is the pitch of lead screw?

Question 2

In PERT and CPM network the dummy activity

Question 3

The ratio of the Euler’s critical buckling load for a slender column fixed at both the ends and other column with one end fixed and the other end hinged is

Question 4

The body will be in equilibrium if the two forces are______.

Question 5

For a thin spherical shell subjected to internal pressure, the ratio of volumetric strain to diametrical strain is ___________.

Question 6

When a pair of cation and anion is absent from crystal, it is called _________.

Question 7

In a Hartnell governor, the mass of each ball is 2.5kg, maximum and minimum centrifugal forces on the balls are 2000 N and 100 N corresponding to radii 20cm and 15 cm respectively. Lengths of vertical and horizontal arms of the bell-crank levers are the same, then what is the spring stiffness in N/cm?

Question 8

When the frictional force helps to apply the brake, then the brake is said to be_____.

Question 9

A block of 100 N is kept on inclined plane which makes an angle 30 ° with horizontal. Find the component of weight parallel to inclined plane ?

Question 10

Whirling speed of a shaft coincides with natural frequency of its.

Question 11

A tube of 35 mm outside diameter was turned on a lathe and the following data was obtained:
Rake angle = 35 ° Cutting speed = 15 m/min
Feed rate = 0.1 mm/rev Length of continuous chip in one revolution = 60 mm
Cutting force = 2000 N Feed force = 800 N
Calculate shear plane angle

Question 12

The Coefficient of discharge of a orifice meter is 0.97. The time take by fluid to cover 8 cm of distance is 0.5 sec. Also the area of orifice is 75 mm². The Theoretical Discharge will be __________.

Question 13

In an experiment, the local heat transfer over a flat plate were correlated in the form of local Nussel number as expressed by the following correlation.
$Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\08_Heat-Transfer_BLok_files\image076.png$
The ratio of the average convection heat transfer coefficient ( $Description: Description: E:\Gate\SSC JE Mechanical Part 1\Made Easy Questions\08_Heat-Transfer_BLok_files\image077.png$ ) over the entire plate length to the local convection heat transfer convection heat transfer coefficient (h_x) at x=L is ____________.

Question 14

A vessel of volume of 0.05 m³ contains a mixture of saturated steam and saturated water at a temperature of 250

. The mass of liquid is 10 kg. The specific enthalpy (kJ/kg) of mixture is-

Use the following table:

Question 15

Match List I with List II and select the correct answer using the codes given below the lists:
List I (Property)
(A). Tensile strength
(B). Impact strength
(C). Bending strength
(D). Fatigue strength
List II (Testing Machine)
(1). Rotating Bending Machine
(2). Three-Point Loading Machine
(3). Universal Testing Machine
(4). Izod Testing Machine

Question 16

A flow field u = 2x, v = 3y. Find the magnitude of acceleration at the point (1, 2).

Question 17

A cantilever beam as shown is acted upon by two loads P₁ and P₂. If the net deflection at the end is zero then the ratio of P₁/P₂ is______.

Question 18

In an epicyclic gear train, shown in the figure, the outer ring gear is fixed, while the sun gear rotates counterclockwise at 100rpm. Let the number of teeth on the sun, planet and outer gears to be 50, 25, and 100, respectively. The ratio of magnitudes of angular velocity of the planet gear to the angular velocity of the carrier arm is _________.

Question 19

A 100 kg block of iron casting at 500 K is thrown into a large lake that is at a temperature of 285 K. The iron block eventually reaches thermal equilibrium with the lake water. Assuming on average specific heat of 0.45 kJ/kgK for the iron, the entropy generated during the process is ______ kJ/K.

Question 20

A product needs to be transported form four factories F₁, F₂, F₃, & F₄ to three warehouses P₁, P₂, P₃. The corresponding demand & supply and cost for unit transportation for i^th factory to j^th warehouse is given is matrix below

The total number of constraints for above given transportation problem are

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