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GATE Mock Test Mechanical Engineering (ME) - 15


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65 Questions MCQ Test GATE Mechanical (ME) 2023 Mock Test Series | GATE Mock Test Mechanical Engineering (ME) - 15

GATE Mock Test Mechanical Engineering (ME) - 15 for GATE 2022 is part of GATE Mechanical (ME) 2023 Mock Test Series preparation. The GATE Mock Test Mechanical Engineering (ME) - 15 questions and answers have been prepared according to the GATE exam syllabus.The GATE Mock Test Mechanical Engineering (ME) - 15 MCQs are made for GATE 2022 Exam. Find important definitions, questions, notes, meanings, examples, exercises, MCQs and online tests for GATE Mock Test Mechanical Engineering (ME) - 15 below.
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GATE Mock Test Mechanical Engineering (ME) - 15 - Question 1

Statement: All bags are cakes. All lamps are cakes.
Conclusions:
I. Some lamps are bags.
II. No lamp is bag.
Deduce which of the above conclusion logically follows statements:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 1

Conclusion I and II are complementary. So either conclusion I or conclusion II follows the statement.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 2

Man does not live by __________ alone.

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 2

Man does not live by bread alone.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 3

Extreme focus on syllabus and studying for tests has become such a dominant concern of Indian students that they close their minds to anything ___________ to the requirements of the exam.

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 3

Extraneous – irrelevant or unrelated to the subject being dealt with

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 4

Select the pair that best expresses a relationship similar to that expressed in the pair:
LIGHT : BLIND

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 4

A deaf person doesn't hear well, irrespective of any language. Tongue is not necessary to produce sound. Every voice doesn't produce vibration. But..... if a person doesn't speak anything, he is considered to be dumb. Hence, a is correct.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 5

If  + = , then:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 5

Log(a/b) + log(b/a) =log(a+b)
loga- logb+logb-loga=log(a+b)
0=log(a+b)
exp(0)=a+b
1=a+b

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 6

In an exam, the average was found to be 50 marks. After deducting computational errors the marks of the 100 candidates had to be changed from 90 to 60 each and average came down to 45 marks. Total number of candidates who took the exam was:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 6

Let number of candidates be n
50 × n – 100 × 30 = 45 × n
n = 600

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 7

A solid 4cm cube of wood is coated with red paint on all the six sides. Then the cube is cut into smaller 1cm cubes. How many of these 1cm cubes have no colour on any side?

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 7

Number of cubes with 3 faces red = 8
Number of cubes with 2 faces red = 24
Number of cubes with 1 face red = 24
Number of cubes with no face red = 64-(24+24+8) = 8

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 8

One of the warmest winters on record has put consumers in the mood to spend money. Spending is to be the strongest in thirteen years. During the month of February, sales of existing single family homes hit an annual record rate of 4.75 million. This paragraph best supports the statement that:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 8

This is clearly the best answer because the paragraph directly states that warm weather affects consumers inclination to spend. It furthers states that the sales of single-family homes was at an all-time high. There is no support for choice a or c. Choice b is wrong because even though there were high sales for a particular February, this does not mean that sales are not higher in other months. Choice d presents a misleading figure of 4 million. The paragraph states that the record of 4.75 million was at an annual, not a monthly, rate.

 

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 9

The age of father is 4 times more than the age of his son Amit. After 8 years, he would be 3 times older than Amit. After further 8 years, how many times will he be older than Amit?

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 9

Let Amit’s age be n years
Age of his father = (4n+n) = 5n years
After 8 years:
Amit’s age = n+8
Father’s age =
3(n+8) = 5n+8
3n+24 = 5n+8
16 = 2n
n = 8 years
After further 8 years:
Amit’s age = 24 years
Father’s age = 5n+16 = 56 years
So father is 2.33 times older than Amit

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 10

Pipe A, B and C are kept open and fill a tank in t minutes. Pipe A is kept open throughout, pipe B is kept open for the first 10 minutes and then closed. Two minutes after pipe B is closed, pipe C is opened and is kept open till the tank is full. Each pipe fills an equal share of the tank. Furthermore, it is known that if pipe A and B are kept open continuously, the tank would be filled completely in t minutes. How long will C alone take to fill the tank?

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 10

A and B together can fill the tank completely in t minutes. A alone can fill it in 3t minutes.
A and B together can fill 1/t of the tank in a minute. A alone can fill 1/3t of the tank in a minute. So, in a minute, B can fill 1/t - 1/3t = 2/3t. Or, B takes 3t/2 minutes to fill an entire tank.
To fill one-third the tank, B will take t/2 minutes. B is kept open for t - 10 minutes.
t/2 = t - 10, t = 20 minutes.
A takes 60 minutes to fill the entire tank, B takes 30 minutes to fill the entire tank. A is kept open for all 20 minutes. B is kept open for 10 minutes.
C, which is kept open for 8 minutes also fills one-third the tank. Or, C alone can fill the tank in 24 minutes.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 11

Which one of the following matrix is not diagonalizable:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 11

has 2 repeated eigen values 1 and 1. There is only one linearly independent eigen vector corresponding to eigen value  =1

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 12

A bus arrives every 10 minutes at a bus stop. Assuming waiting time X for bus is uniformly distributed, the probability that a person has to wait for the bus for more than 7 minutes is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 12

P (7< <10) = = 0.3 

Hint p.d.f is f(x) =

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 13

If two concurrent forces A and B acting on a point are 200 N and 300 N. What is the magnitude of resultant force, if it makes an angle of 50o with each force?

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 13

θ = 50°  

force A = 200 N

  force B = 300 N

Formula: Resultant force = √A2 + B2 + 2 AB cos 50o

Solution: Resultant force = √A2 + B2 + 2 AB cos 500 = √2002 + 3002 + 2 x 200 x 300

= 455.12 N

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 14

The function f(x) =|5x - 3| is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 14

f(x) = |5x - 3|


f(x) is everywhere continuous but not differentiable at the corner point

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 15

A random variable is uniformly distributed over the interval [0, 6]. The value of E (x +1) is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 15

Since X is uniformly distributed over [0, 6]
Its pdf is
E(X+1) = - (x+1) f(x)dx
=(x+1)dx = 4

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 16

Which of the following statement is correct about the matrix A given as
A =  

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 16

A =
Characteristic equation is =0
=0

=0





GATE Mock Test Mechanical Engineering (ME) - 15 - Question 17

Characteristic equation has no negative real root.The laplace transform of the function shown in figure is

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 17




=

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 18

An Autocollimator is used to:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 18

An autocollimator is an optical instrument that is used to measure small angles with very high sensitivity. As such, the autocollimator has a wide variety of applications including precision alignment, detection of angular movement, verification of angle standards, and angular monitoring over long periods.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 19

A customer order of 50 parts is to be processed through a plant. Raw material and tooling are supplied by the customer. The total time for processing the parts is 100 hr.Direct labour cost is $10/hr. The factory overhead rate is 250% and the corporate overhead rate is 600%. The cost in $ of the job is…………

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 19

The direct labour cost for the job is = 100 × 10 = $ 1000
The allocated factory overhead charge, at 250% of direct labour is = 1000 × 2.5 = $2500
The allocated corporate overhead charge = 1000 × 6 = $ 6000
Total cost = $ 9500

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 20

Mathematics allows us to expand our consciousness. Mathematics tells us about economic trends, patterns of disease, and the growth of populations. Math is good at exposing the truth, but it can also perpetuate misunderstandings and untruths. Figures have the power to mislead people.
This paragraph best supports the statement that:

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 21

The defect in a sand casting which occurs due to low pouring temperature of the liquid metal is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 21


Mis run is a defect which occurs due to the low pouring temperature of the liquid metal

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 22

When stress is repeated in nature, stress ratio and Amplitude ratio respectively will be:

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 23

The following stream function will represents/ satisfy:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 23

satisfies Laplace equation as shown below:
=(2??-2) (-2?? 2)=0
Hence, it is irrotational flow and satisfies equation of continuity

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 24

The initial feasible solution by Vogel's approximate method is given by


To perform optimal test, the (infinitesimally value) should be introduced at:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 24

Note: Number of basic cell = m + n - 1 (Non-degenerate problem)
Number of basic cell < m + n - 1 (Degenerate problem) 6 < 3 + 5 - 1
(So, it is degenerate problem)
To obtain optimal solution, we need to convert the degenerate problem into nondegenerate
problem. So, we need to allocate E, to the least cost cell which shouldn’t form
a closed loop.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 25

There is a smooth curved track which terminates in a horizontal part. A spring of spring constant 500 N/m is attached at one end to a wedge fixed rigidly with horizontal part. A 50g mass is released from rest at a height of 5m on the curved track. Maximum compression of the spring is

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 25

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 26

The tool of an NC machine has to move along a circular arc from point to  Absolute dimensions are used and dimensioning is in metric units. Feed and spindal speed are selected as 200 mm/min and 1000 rpm respectively. The head of the NC tool path commands for the above mentioned operation is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 26

G71 – Dimensioning in metric units
G90 – Absolute dimensions
G94 – Feed rate mm/min

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 27

The ratio of tension on the tight side after n blocks on the brake and tension on the slack side in case of a band and block brake (where is the angle subtended by each block at the center of drum & n is the number of blocks) is:

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 28

Heat is supplied to air taken in a cylinder and enclosed by a frictionless piston held under a constant load. Expansion of gas will be:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 28

Isobaric process is a constant pressure process....so the pressure is given to the cylinder in the constant loading and the volume changes....then the option A is rght

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 29

A ductile metal bar is subjected to pure shear test and its yield strength was found to be 230,the maximum permissible shear stress on that metal will be:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 29


Shear strength = 230/2 = 115 N/mm2.When ductile metal bar is subjected to pure shear test, maximum permissible shear stress is 115 N/mm2

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 30

Curved lines on psychrometric chart indicates:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 30

Inclined lines shows enthalpy and wbt
Horizontal lines shows specific humidity and dpt
Curved lines shows relative humidity

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 31

In a 4 cylinder 4 stroke in-line IC engine the angle between two successive cranks should be
But this rule is violated for cranks 2 and 3 (i.e. inner cranks) and the angle is made This is done to achieve:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 31

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 32

An engine working on otto cycle consumes 16 litres of gasoline per hour and develops 50 kW. The specific gravity of gasoline is 0.75 and its calorific value is 44000 KJ/kg. The thermal efficiency of the engine (in %) will be:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 32

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 33

If a shaft is subjected to pure torsion, it will fail along the plane:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 33

If shaft is subjected to pure torsion it will fail along 45o to longitudinal axis in brittle material and 90o to longitudinal axis in ductile material.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 34

A triangular plate of base ‘a’ is kept in contact with a square plate of edge ‘a’. The density of the material and thickness are same everywhere. The center of mass of composite system will be

Centre of mass of composite system will be:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 34

For same thickness and density, mass of square plate is twice the mass of triangular plate. So, C.M. lies inside square plate.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 35

An air standard Brayton cycle operating between the temperature limits of 300K and 1500K. For maximum work output, what will be the pressure ratio and thermal efficiency (in %) of the cycle respectively.

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 35



GATE Mock Test Mechanical Engineering (ME) - 15 - Question 36

Consider the differential equation
with y(o) = 1
This equation is to be solved using fourth order Runge – Kutta method. The value of y(0.1) taking step size of 0.1:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 36

f (x,y) =






GATE Mock Test Mechanical Engineering (ME) - 15 - Question 37

The value of ∫cdz/(z2 + 9) where c is a curve in counterclockwise sense given by |z+3i| = 2

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 37

Curve is z - (-3i) = 2



f(z) = its poles are z =  Pole Z = -3i is inside the curve c.

Residue at z = -3i =

Using Residue theorem

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 38

The system of linear simultaneous equations:
x+2y+3z = 6
x+3y+5z = 9
2x+5y+az = b
has no solution for values of a and b:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 38

For no solution rank (A)rank (C) we know rank (A) rank (C)
For a = 8 using we conclude rank (A) = 2
So rank (C) must be 3, which is possible only when b15 because otherwise rank (C)
will be also become 2 making consistent system.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 39

The square roots of -i are:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 39


Adding to generalize the argument,

Using Demoiver’s theorem


For K = 0

For K = 1


GATE Mock Test Mechanical Engineering (ME) - 15 - Question 40

A refrigerator operates in a standard vapour compression cycle using F-12 as refrigerant. Its condenser operates at 1 bar and evaporator operates at 1.5 bar.Evaporator absorbs 1.25 kW of energy as heat producing a wet, saturated vapour of F-12, which is then charged to compressor that compress it to a dry, saturated vapour,determine flow rate of refrigerant

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 40

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 41

Two people weighing W each are sitting on a plank of length L floating on water at L/3 from either end. Neglecting the weight of the plank, the bending moment and shear at the center of plank is:

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 42

A soldering operation was work sampled over two days (16 hours) during which an employee soldered 108 joints, actual working time was 90% of total time and the performance rating was estimated to be 120 percent. If the contract provides allowance of 20 percent of the total time available, the standard time for the operation would be:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 42

Total time = 16 × 60 minutes
Actual time = 
Normal Time = 864 × 1.2 = 1036.8 minutes
Standard time = Normal time + Allowance
Standard time
= = 1296 minute
Standard time per joint
==12 minute

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 43

A single pass rolling operation on a 28mm thick plate reduces the thickness to 24mm. The width of the plate is 150mm and the average flow stress for the plate material is 300 MPa For a roller radius of 250mm and rotational speed of 12rpm, the power required for the rolling operation in (kW) is closest to:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 43

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 44

The form factor of a speed gear tooth depend upon the-
(1) Number of teeth
(2) Pressure angle
(3) Addendum modification co-efficient
(4) Circular pitch
Which of the above statements are correct?

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 44


For stub teeth addendum modification coefficient is 0.8 ( Add = 0.8m) while for full
depth involute addendum modification coefficients is 1 ( Addendum = 1m).
Therefore form factor also depends upon addendum modification coefficient in addition to pressure angle.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 45

Air enters an adiabatic diffuser of aircraft of 0.1 bar with velocity 90 kmph at temperature  It reaches a pressure of 0.2 bar at diffuser outlet and then enters the compressor.If temperature at outlet of compressor isdetermine temperature of air at compressor inlet.

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 45

S.F.E.E. for diffuser

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 46

In an orthogonal cutting process, the rake angle is and width of cut is 10mm. The cutting velocity is 2.5 m/s and undeformed chip thickness is 200 If the steel chips of 13.36 grams are obtained with a total length of 50 mm, the slip plane angle is:Take density = 7830

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 46

For Chip thickness
Weight = density × volume

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 47

In a two dimensional stress analysis, the state of stress at a point is shown in the figure below:

 
The magnitude of are respectively:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 47

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 48

Determine the temperature rise due to water falling through height of 100m. Change in internal energy of water is related to temperature change

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 48

Internal energy and hence temperature of water increases due to loss of potential energy which is converted into its internal energy.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 49

The average heat transfer co-efficient on a thin hot vertical plate suspended in still air can be determined from observations of the change in plate temperature with time as it cools Assume the plate temperature to be uniform at any instant of time and radiation heat exchange with the surrounding is negligible. The ambient temperature is the plate has a total surface area of  and a mass of 4 kg. The specific heat of the plate material is 2.5 kJ/kg K. The convective heat transfer co-efficient in  at the instant when the plate temperature is  and the change is plate temperature with time. is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 49


Here negative sign shows that plate temperature decreases with the time.
From the given condition,
Heat transfer by convection to the plate = Rate of change of Internal energy,

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 50


A rectangular link AB made of steel is used to support a load W through a rod CD as shown in the figure. If the link AB is 30mm wide, determine its thickness for a factor of safety 2.5.The ultimate strength of steel may be assumed to be 450 MPa.

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 50

Draw Free body diagram

Taking net moment about C = 0


Tensile along link AB = 31.75 kN




t = 5.88 mm

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 51

While removing material from iron (atomic weight 56, valency 2 and density 7.8 g/cc) by ECM, MRR of 2cc/min is desired. The current in ampere required is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 51

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 52

In the given figure, a disc has mass m and its radius is R. What will be natural frequency of system?

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 52

When disc is twisted clockwise through angle ?, then


GATE Mock Test Mechanical Engineering (ME) - 15 - Question 53

A hydraulic model of a spillway is constructed with a scale 1:16. If the prototype discharge is 2048 cumecs, then the corresponding discharge for which the model should be tested is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 53

Q = A×V
Spillway model obeys Froude’s Law


GATE Mock Test Mechanical Engineering (ME) - 15 - Question 54

What is work interaction during the process of filling up of an evacuated bottle with 1 of air from atmosphere when its stop cock is opened? (Atm pressure is 1 bar)

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 54

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 55

A long rod 12 mm square section, made of low carbon steel protrudes in to air at from a furnace wall at  The convective heat transfer coefficient is estimated at 22  The conductivity of the material is 51.9 W/mK. The location (mm) from the wall where the temperature will be  is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 55

Long fin model will suit the problem situation.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 56

Two plates are welded together as shown in figure with 8mm fillet welds. Safe stress in shear is 75 MPa. The lengths so that the welds are equally stressed in shear are

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 56


The total length (l ) of the weld required to withstand the load of 120 KN is given by


GATE Mock Test Mechanical Engineering (ME) - 15 - Question 57

Water is to be pumped out of a deep well under a total head of 95m. A number of identical pumps of design speed 1000 rpm and specific speed 90 rpm, with rated capacity of 150 liters/sec are available. How many pumps are required?

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 57




Since total head required to be developed is more than head developed by each pump, so pumps should be connected in series.

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 58

The diameter of the shaft is 100mm and length is 1m. One end of shaft is fixed and other has a disc of mass 500kg at a radius of gyration of 450mm. The modulus of rigidity for the shaft material is 80 The value of natural frequency of torsional vibration is shaft:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 58

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 59

For a production system annual consumption is 20,000 units.Past lead time are 15, 20, 18, 12, 22, and 27 days. If there are 330 working days in a year, then reorder level is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 59

Safety stock = Maximum demand during lead time – Average demand during lead time
= (Maximum lead time - Average lead time)R

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 60

A steel rod of 1 cm diameter and 1m length has initial tensile stress Calculate the work done in raising this stress to Young’s modulus of steel is

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 60



GATE Mock Test Mechanical Engineering (ME) - 15 - Question 61

A solid sphere of diameter 0.18 m generates at a rate of 7 × 106 W/ m3.Heat generated is convected over the outer surface to a fluid at 160°C with h = 140 W/m2K KMaterial =30 W/mK. Maximum temperature in the material (in oC) is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 61

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 62

The upper arms of Porter governor are pivoted on the axis of rotation, their lengths being 30 cm. The lower arms are pivoted on the sleeve at a distance of 3 cm from the axis and their lengths being 27 cm. Mass of each bull is 6 Kg and sleeve mass is 50 Kg.The radius of rotation for a particular equilibrium speed is 17 cm. The effort for 1% speed change is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 62



GATE Mock Test Mechanical Engineering (ME) - 15 - Question 63

In a sand casting process,a sprue of 10mm base diameter and 250 mm height leads to a runner which fills a cubical mould cavity of 100 mm size.Volume flow rate (in mm3/s) is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 63



GATE Mock Test Mechanical Engineering (ME) - 15 - Question 64

In a sand casting process,a sprue of 10mm base diameter and 250 mm height leads to a runner which fills a cubical mould cavity of 100 mm size.Mould filling time (in seconds) is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 64

GATE Mock Test Mechanical Engineering (ME) - 15 - Question 65

The stream function for a 2-D flow is given by The resultant velocity at a point P(2,3) is:

Detailed Solution for GATE Mock Test Mechanical Engineering (ME) - 15 - Question 65

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