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GATE question papers: Mechanical Engineering, 2011 (ME)A streamline and an equipotential line in a fow eld(A) are parallel to each other

(B) are perpendicular to each other(C) intersect at an acute angle(D) are identical

Answer:(B)

I a mass o moist air in an airtight vessel is heated to a highertemperature then(A) specic humidit! o the air increases(B) specic humidit! o the air decreases(C) relative humidit! o the air increases(D) relative humidit! o the air decreases

Answer:(D)

In a condenser o a power plant the steam condenses at a temperatureo "#C$ %he cooling water enters at # C and leaves at # 'C$ %helogarithmic mean temperature dierence (*+%D) o the condenser is(A) ,"$- C

(B) -,$" C(C) C

(D) &.$ C

Answer:(B)

A simpl! supported /eam 01 is loaded /! a moment o , 234m at themid4span o the /eam as shown in the gure$ %he reaction orces50and 51at supports 0 and 1 respectivel! are

(A) , 23 downward , 23 upward(B) #$ 23 upward #$ 23 downward(C) #$ 23 downward #$ 23 upward(D) , 23 upward , 23 upward

Answer:(A)

A dou/le 6 parallelogram mechanism is shown in the gure$ 3ote that01 is a single lin2$ %he mo/ilit! o the mechanism is

(A) ,(B) #(C) ,(D) -

Answer:(C)

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%he ma7imum possi/le drat in cold rolling o sheet increases with the(A) increase in coe8cient o riction(B) decrease in coe8cient o riction(C) decrease in roll radius(D) increase in roll velocit!

Answer:(A)

%he operation in which oil is permeated into the pores o a powder

metallurg! product is 2nown as(A) mi7ing(B) sintering(C) impregnation(D) inltration

Answer:

(C)

A hole is dimension mm$ %he corresponding shat is o

dimension mm$ %he resulting assem/l! has(A) loose running t(B) close running t(C) transition t(D) intererence t

Answer:(C)

9eat and wor2 are(A) intensive properties(B) e7tensive properties(C) point unctions(D) path unctions

Answer:(D)

A column has a rectangular cross4section o ,#mm -#mm and alength o ,m$ %he slenderness ratio o the column is close to(A) -##(B) &'"(C) '..(D) ,###

Answer:(B)

A series e7pansion or the unction sin is

(A)

(B)

(C)

(D)

Answer:(B)

reen sand mould indicates that(A) pol!meric mould has /een cured(B) mould has /een totall! dried

(C) mould is green in colour(D) mould contains moisture

Answer:(D)

;hat is equal tom-

?$ It isproposed to reduce the heat loss rom the pipe /! adding insulationhaving a thermal conductivit! o #$# ;>m?$ ;hich one o the ollowingstatements is %5@=m&) in the two columns o the manometer is ,#mm$ %a2eacceleration due to gravit! as - H$m> s-$ %he velocit! o air in m>s is

(A) "$'(B) H$#(C) ,-$(D) -$"

Answer:(C)

%he values o enthalp! o steam at the inlet and outlet o a steamtur/ine in a 5an2ine c!cle are -##2J>2g and ,##2J>2g respectivel!$3eglecting pump wor2 the specic steam consumption in 2g>2;4houris(A) &$"#

Answer:(A)

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(B) #$&"(C) #$#"(D) #$#,

%he integral when evaluated /! using Fimpsons ,>& rule on two

equal su/intervals each o length , equals(A) ,$###(B) ,$#H(C) ,$,,,(D) ,$,-#

Answer:(C)

%wo identical /all /earings 0 and 1 are operating at loads 23 and '23 respectivel!$ %he ratio o the lie o /earing 0 to the lie o /earing 1is(A) ,>,"(B) -.>(C) H>'(D) &>-

Answer:(B)

Gor the our4/ar lin2age shown in the gure the angular velocit! o lin2

AB is , rad>s$ %he length o lin2 CD is ,$ times the length o lin2 AB$ Inthe conguration shown the angular velocit! o lin2 CD in rad>s is

(A) &(B) &>-(C) ,(D) ->&

Answer:

(D)

A stone with mass o #$, 2g is catapulted as shown in the gure$ %hetotal orce G7(in 3) e7erted /! the ru//er /and as a unction o distance7 (in m) is given /!G7 #7

-$ I the stone is displaced /! #$,m rom the un4stretchedposition(7 #) o the ru//er /and the energ! stored in the ru//er /and is

Answer:(B)

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(A) #$#, J(B) #$, J(C) , J

(D) ,# J

Consider the dierential equation (, !-) 7$ %he general solutionwith constant c is

(A) !

(B) !

(C) !

(D) !

Answer:(D)

An un/iased coin is tossed ve times$ %he outcome o each toss iseither a head or a tail$ %he pro/a/ilit! o getting at least one head is

(A)

(B)

(C)

(D)

Answer:(D)

A mass o , 2g is attached to two identical springs each with stiness 2 -# 23>m as shown in the gure$ @nder rictionless condition thenatural requenc! o the s!stem in 9K is close to

Answer:(A)

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(A) &-(B) -&(C) ,"(D) ,,

%he shear strength o a sheet metal is # +0a$ %he /lan2ing orcerequired to produce a /lan2 o ,## mm diameter rom a ,$ mm thic2sheet is close to(A) ' 23(B) .# 23

(C) ,', 23(D) # 23

Answer:(C)

%he ratios o the laminar h!drod!namic /oundar! la!er thic2ness tothermal /oundar! la!er thic2ness o fows o two fuids 0 and 1 on a fat

plate are and - respectivel!$ %he 5e!nolds num/er /ased on theplate length or /oth the fows is ,#'$ %he 0randtl and 3usselt num/ers

or 0 are and & respectivel!$ %he 0randtl and 3usselt num/ers or 1are respectivel!(A) and ,'#(B) and .#(C) ' and .#(D) ' and &

Answer:(A)

%he cran2 radius o a single4c!linder I$ C$ engine is "# mm and thediameter o the c!linder is # mm$ %he swept volume o the c!linder in& cm is(A) '(B) H"(C) -(D) "#&

Answer:(D)

A pump handling a liquid raises its pressure rom , /ar to /ar$ %a2ethe densit! o the liquid as HH# & 2g >m&$ %he isentropic specic wor2done /! the pump in 2J>2g is(A) #$,#(B) #$(C) -$#(D) -$H&

Answer:(D)

A spherical steel /all o ,- mm diameter is initiall! at ,### ?$ It isslowl! cooled in a surrounding o #?$ %he heat transer coe8cient/etween the steel /all and the surrounding is ;>m-?$ %he thermalconductivit! o steel is -# ;>m?$ %he temperature dierence /etweenthe centre and the surace o the steel /all is(A) large /ecause conduction resistance is ar higher than the

Answer:(D)

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convective resistance(B) large /ecause conduction resistance is ar less than the convectiveresistance(C) small /ecause conduction resistance is ar higher than theconvective resistance(D) small /ecause conduction resistance is ar less than the convective

resistanceAn ideal Bra!ton c!cle operating /etween the pressure limits o , /arand " /ar has minimum and ma7imum temperatures o # ? and,## ?$ %he ratio o specic heats o the wor2ing fuid is ,$'$ %heappro7imate nal temperatures in ?elvin at the end o the compressionand e7pansion processes are respectivel!(A) ## and H##(B) H## and ##(C) ## and ##(D) H## and H##

Answer:(A)

A disc o mass m is attached to a spring o stiness 2 as shown in thegure$ %he disc rolls without slipping on a horiKontal surace$ %henatural requenc! o vi/ration o the s!stem is

(A)

(B)

(C)

(D)

Answer:(C)

A , 2g /loc2 is resting on a surace with coeicient o riction L #$,$ Aorce o #$ 3 is applied to the /loc2 as shown in gure$ %he rictionorce is

(A) #(B) #$ 3(C) #$H 3(D) ,$- 3

Answer:(B)

Consider the ollowing s!stem o equations:-7, 7- 7& #7-7& #

Answer:(C)

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7, 7- #$%his s!stem has(A) a unique solution(B) no solution(C) innite num/er o solutions(D) ve solutions

A single4point cutting tool with ,-ra2e angle is used to machine asteel wor24piece$ %he depth o cut i$e$ uncut thic2ness is #$, mm$ %hechip thic2ness under orthogonal machining condition is ,$mm$ %heshear angle is appro7imatel!(A) --

(B) -"

(C) "

(D) ."

Answer:(B)

+atch the ollowing non4traditional machining processes with thecorresponding material removal mechanisms :

+achining process +echanism o materialremoval

0$ Chemical machining ,$ =rosion

1$ =lectro4chemical machining -$ Corrosive reaction

5$ =lectro4discharge machining &$ Ion displacement

F$ @ltrasonic machining '$ Gusion and vaporiKation

(A) 04- 14& 54' F4,(B) 04- 14' 54& F4,(C) 04& 14- 54' F4,(D) 04- 14& 54, F4'

Answer:(A)

A cu/ic casting o # mm side undergoes volumetric solidicationshrin2age and volumetric solid contraction o 'M and "M respectivel!$3o riser is used$ Assume uniorm cooling in all directions$ %he side othe cu/e ater solidication and contraction is(A) '$&- mm

(B) 'H$H# mm(C) 'H$H' mm(D) 'H$H" mm

Answer:(A)

Common Data Questions

Common Data Questions: 48 & 49In an e7perimental set4up air fows /etween two stations 0 and 1adia/aticall!$ %he direction o fow depends on the pressure andtemperature conditions maintained at 0 and 1$ %he conditions atstation 0 are ,# 20a and ?$ %he temperature at station 1 is #?$

%he ollowing are the properties and relations pertaining to air:Fpecic heat at constant pressure cp ,$## 2J>2g?NFpecic heat at constant volume cv #$., 2J>2g?NCharacteristic gas constant 5 #$-. 2J>2g?$

=nthalp! h cp%$Internal energ! u cv%$

I the air has to fow rom station 0 to station 1 the ma7imum possi/levalue opressure in 20a at station 1 is close to(A) #(B) .(C) ,-(D) ,#

Answer:(B)

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I the pressure at station 1 is # 20a the change in entrop! (s1s0) in2J>2g? is(A) #$,(B) #(C) #$,"#(D) #$&

Answer:(C)

Common Data Questions: 50 and 51One unit o product 0, requires & 2g o resource 5,and , 2g o resource5-$ One unit o product 0-requires - 2g o resource 5, and - 2g oresource 5-$ %he prots per unit /! selling product 0,and 0-are 5s$-### and 5s$ ## respectivel!$ %he manuacturer has H# 2g oresource 5,and ,##2g o resource 5-$

%he unit worth o resource 5- i$e$ dual price o resource 5-in 5s$ 0er2g is(A) #(B) ,(C) ,##(D) -###

Answer:(A)

%he manuacturer can ma2e a ma7imum prot o 5s$

(A) "####(B) ,##(C) ,####(D) -#####

Answer:

(B)

Linked Answer Questions

Statement for Linked Answer Questions: 52 & 5A triangular4shaped cantilever /eam o uniorm6thic2ness is shown inthe gure$ %he Poungs modulus o the material o the /eam is =$ Aconcentrated load 0 is applied at the ree end o the /eam$

%he area moment o inertia a/out the neutral a7is o a cross4section ata distance 7 measured rom the ree end is

(A)

(B)

(C)

(D)

Answer:(B)

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%he ma7imum defection o the /eam is

(A)

(B)

(C)

(D)

Answer:(D)

Statement for Linked Answer Questions: 54 & 55%he temperature and pressure o air in a large reservoir are '## ? and& /ar respectivel!$ A converging4diverging noKKle o e7it area #$##m-is tted to the wall o the reservoir as shown in the gure$ %he staticpressure o air at the e7it section or isentropic fow through the noKKleis # 20a$ %he characteristic gas constant and the ratio o specic heatso air are #$-. 2J>2g? and ,$' respectivel!$

%he densit! o air in 2g>m&at the noKKle e7it is(A) #$"#(B) #$"##(C) #$.-.(D) #$##

Answer:(C)

%he mass fow rate o air through the noKKle in 2g>s is(A) ,$(B) ,$..(C) ,$(D) -$#"

Answer:(D)

!enera" A#titude $!A% QuestionsQ 'o 5( ) (0 Carr* +ne ,ark -a./

Choose the word rom the options given /elow that is most nearl!opposite in meaning to the given word:Ama"amate(A) merge(B) split(C) collect(D) separate

Answer:(B)

;hich o the ollowing options is the closest in the meaning to the word/elow:

Answer:(A)

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ne#"i.ab"e(A) Incomprehensi/le(B) Indeli/le(C) Ine7trica/le(D) Inalli/le

I *og (0) (,>-) *og (1) (,>&) *og (5) then which o the ollowing

options is %5@=

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A pharmaceutical compan! is contemplating the development o avaccine against the most dangerous micro/e$ ;hich micro/e shouldthe compan! target in its rst attempt