BANSAL CLASSES : "POOJA TOWER" 3, GOPAL PURA BY PASS, JAIPUR-302018 (RAJ.) INDIA. TEL. (0141)5118115 - 6, 6511722 CODE # 2 JEE ADVANCED PAPER-I HELD ON SUNDAY 24 MAY, 2015_[Chemistry] Page # 1 PART : II CHEMISTRY SECTION 1 (Maximum Marks : 32) * This section contains EIGHT questions * The answer to each question is a SINGLE DIGIT INTEGER ranging from 0 to 9, both inclusive. * For each question, darken the bubble corresponding to the correct integer in the ORS * Marking scheme : +4 If the bubble corresponding to the answer is darkened. 0 In all other cases Q.21 Coordination compounds For the octahedral complexes of Fe 3+ in SCN (thiocyanato-S) and in CN ligand environments, the difference between the spin-only magnetic moments in Bohr magnetons (when approximated to the nearest integer) is (Atomic number of Fe = 26) Ans. 4 Q.21 Coordination compounds Fe 3+ ds v"VQydh; la dqyks a es a SCN (FkS;ks lk;kus Vks -S) rFkk CN fyxUM okrkoj.kks a es a ] iz p.k&ek= pqEcdh; vk?kw .kks Za (spin-only magnetic moments) (Bohr magnetons es a ) dk vUrj …fudVre iw .kkZa d es a ‰ gS [Fe dh ijek.kq la [;k (Atomic number) = 26] Ans. 4 Q.22 Chemical bonding Among the triatomic molecules/ions, BeCl 2 , N 3 , N 2 O, NO + 2 , O 3 , SCl 2 , ICl 2 , I 3 and XeFe 2 , the total number of linear molecules(s)ion(s) where the hybridization of the central atom does not have contribution from the d-orbital(s) is [Atomic number : S =16, Cl = 17, I = 53 and Xe = 54] Ans. 4 Q.22 Chemical bonding fn;s x;s f=ijek.kqd v.kqvks a @vk;uks a ] BeCl 2 , N 3 , N 2 O, NO + 2 , O 3 , SCl 2 , ICl 2 , I 3 rFkk XeFe 2 es a js f[kd v.kq…vks a ‰@vk;u…uks a ‰] ftues a ds a Unzh; ijek.kq ds la dj.k es a d- vkWfcZVy@vkWfcZVyks a dk Hkkxnku ugha gS] dh dqy la [;k gS [ijek.kq la [;k (Atomic number) : S =16, Cl = 17, I = 53 rFkk Xe = 54] Ans. 4 Q.23 Periodic table/atomic structure Not considering the electronic spin, the degeneracy of the second excited state (n = 3) of H atom is 9, while the degeneracy of the second excited state of H is Ans. 3 Q.23 Periodic table/atomic structure bys DV“kWu p.k dk fopkj u djrs gq;s H ijek.kq dh f}rh; mrs ftr voLFkk (n = 3) dh leHkza ’krk (degeneracy) 9 gS] rc H dh f}rh; mrs ftr voLFkk dh leHkza ’krk gks xhA Ans. 3
31
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BANSAL CLASSES : "POOJA TOWER" 3, GOPAL PURA BY PASS, JAIPUR-302018 (RAJ.) INDIA. TEL. (0141)5118115 - 6, 6511722
CODE # 2 JEE ADVANCED PAPER-I HELD ON SUNDAY 24 MAY, 2015_[Chemistry]
Page # 1
PART : II CHEMISTRYSECTION 1 (Maximum Marks : 32)
* This section contains EIGHT questions* The answer to each question is a SINGLE DIGIT INTEGER ranging from 0 to 9, both inclusive.* For each question, darken the bubble corresponding to the correct integer in the ORS* Marking scheme :
+4 If the bubble corresponding to the answer is darkened.0 In all other cases
Q.21Coordination compounds
For the octahedral complexes of Fe3+ in SCN� (thiocyanato-S) and in CN�
ligand environments, the difference between the spin-only magnetic moments in Bohr magnetons(when approximated to the nearest integer) is(Atomic number of Fe = 26)
2, the total number of linear molecules(s)ion(s) where the hybridization of the central
atom does not have contribution from the d-orbital(s) is[Atomic number : S =16, Cl = 17, I = 53 and Xe = 54]
Ans. 4Q.22
Chemical bondingfn;s x;s f=ijek.kqd v.kqvksa@vk;uksa] BeCl
2, N�
3, N
2O, NO+
2, O
3, SCl
2, ICl�
2,
I�3 rFkk XeFe
2 esa jsf[kd v.kq¼vksa½@vk;u¼uksa½] ftuesa dsaUnzh; ijek.kq ds ladj.k esa d- vkWfcZVy@vkWfcZVyksa dk
Hkkxnku ugha gS] dh dqy la[;k gS
[ijek.kq la[;k (Atomic number) : S =16, Cl = 17, I = 53 rFkk Xe = 54]Ans. 4
Q.23Periodic table/atomic structure
Not considering the electronic spin, the degeneracy of the second excitedstate (n = 3) of H atom is 9, while the degeneracy of the second excited state of H� is
If the freezing point of a 0.01 molal aqueous solution of cobalt(III) chloride-ammonia complex (which behaves as a strong electrolyte) is � 0.0558 °C, the number of the chlorides(s)
BANSAL CLASSES : "POOJA TOWER" 3, GOPAL PURA BY PASS, JAIPUR-302018 (RAJ.) INDIA. TEL. (0141)5118115 - 6, 6511722
CODE # 2 JEE ADVANCED PAPER-I HELD ON SUNDAY 24 MAY, 2015_[Chemistry]
Page # 3
SECTION 2 (Maximum Marks : 40)* This section contains TEN questions* Each question has FOUR options (A), (B), (C) and (D) ONE OR MORE THAN ONE of these four
option(s) is (are) correct* For each question, darken the bubble(s) corresponding to all the correct option(s) in the ORS* Marking scheme :
+4 If only the bubble(s) corresponding to all the correct option(s) is (are)0 If one of the bubbles is darkened�2 In all other cases
Q.29Hydrocarbons (11th)
In the following reaction, the major product isfuEufyf[kr vfHkfØ;k dk eq[; mRikn gS
CH3
H C2
CH2 1 equivalent HBr
(A)
CH3
H C2
CH3
Br
(B*)
CH3
H C3Br
(C)
CH3
BrH C2
(D)
CH3
BrH C3
Ans. (B)
Q.30Biomolecules (XIIth)/Isomerism (XIth)
The structure of D�(+)�glucose is
D�(+)�glucose dh lajpuk gS
CHO
CH OH2
HHO
HH
OHHOHOH
The structure of L-(�)-glucose is :
L-(�)-glucose dh lajpuk gS
(A*)
CHO
CH OH2
HOH
HOHO
HOHHH
(B)
CHO
CH OH2
HHO
HHO
OHHOHH
(C)
CHO
CH OH2
HOHO
HHO
HHOHH
(D)
CHO
CH OH2
HOHOHO
H
HHHOH
Ans. (A)
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Q.31Nitrogen derviatives amines (12th)
The major product of the reaction isfuEufyf[kr vfHkfØ;k dk eq[; mRikn gS
H C3
CH3 NH2
CO H2
2NaNO , aqueous HCl
0 C
(A)
H C3
CH3 OH
NH2
(B*)
H C3
CH3 OH
CO H2
(C*)
H C3
CH3 OH
CO H2
(D)
H C3
CH3 OH
NH2
Ans. (BC)
Q.32d-block elements
The correct staements(s) about Cr2+ and Mn3+ is (are)[Atomic numbers of Cr = 24 and Mn = 25](A*) Cr2+ is a reducing agent(B*) Mn3+ is an oxidizing agent(C*) Both Cr2+ and Mn3+ exhibit d4 electronic configuration(D) When Cr2+ is used as a reducing agent, the chromium ion attains d5 electronic configuration
Copper is purified by electrolytic refining of blister copper. The correct statements(s) about thisprocess is (are)(A) Impure Cu strip is used as cathode(B*) Acidified aqueous CuSO
4 is used as electrolyte
(C*) Pure Cu deposits at cathode(D*) Impurities settle as anonde-mud
If the unit cell of a mineral has cubic close packed (ccp) array of oxygenatoms with m fraction of octahedral holes occupied by aluminium ions and n fraction of tetrahedralholes occupied by mangesium ions, m and n, respectively, are
(A*) 1
2,
1
8(B) 1,
1
4(C)
1
2,
1
2(D)
1
4,
1
8Ans. (A)Q.36
Solid state ;fn ,d [kfut dh ,dd lsy esa vkWDlhtu ijek.kq ?kuh; ladqfyr (cubic close packing) O;wg (array)
esa gks tgk¡ m fHkUu (fraction) v"VQydh; (octahedral) fjfDrdkvksa (holes) esa ,syqfefu;e vk;u rFkk n fHkUuprq"Qydh; (tetrahedral) fjfDrdkvksa esa eSXuhf'k;e vk;u mifLFkr gksa] rc m rFkk n Øe'k% gS&
(A*) 1
2,
1
8(B) 1,
1
4(C)
1
2,
1
2(D)
1
4,
1
8Ans. (A)
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Q.37Hydrocarbons (11th)
Compounds (s) that on hydrogenation produces(s) optically inactivecompounds(s) is (are)
(A)
H
CH3H C3
Br
(B*) H
CH3H C2
Br
(C)
H
CH3
H C2
Br
CH3
(D*) Br
CH3H C2
H
Ans. (BD)Q.37
Hydrocarbons (11th);kSfxd tks gkbMªkstuhdj.k (hydrogenation) djus ij /kzqo.k v/kw.kZad (optically
inactive) mRikn cukrs gS (gSa)
(A)
H
CH3H C3
Br
(B*) H
CH3H C2
Br
(C)
H
CH3
H C2
Br
CH3
(D*) Br
CH3H C2
H
Ans. (BD)
Q.38Carbonyl compounds (12th)
The major of product of the following reaction is:fuEufyf[kr vfHkfØ;k dk eq[; mRikn gS
O
OCH3
2i KOH, H O
ii H , heat
(A*) O
CH3
(B) O
CH3
(C)
O CH3
(D)
CH3O
Ans. (A)
SECTION 3 (Maximum Marks: 16)* This section contains TWO questions* Each question contains two columns, Column I and Column II* Column I has four entries (A), (B), (C) and (D)* Column II has five entries (P), (Q), (R), (S) and (T)* Match the entries in Column I with the entries in Column II
BANSAL CLASSES : "POOJA TOWER" 3, GOPAL PURA BY PASS, JAIPUR-302018 (RAJ.) INDIA. TEL. (0141)5118115 - 6, 6511722
CODE # 2 JEE ADVANCED PAPER-I HELD ON SUNDAY 24 MAY, 2015_[Chemistry]
Page # 8
* One or more entries in Column I may match with one or more entries in Column II* The ORS contains a 4 × 5 matrix whose layout will be similar to the one shown below:
(A) (P) (Q) (R) (S) (T)
(B) (P) (Q) (R) (S) (T)
(C) (P) (Q) (R) (S) (T)
(D) (P) (Q) (R) (S) (T)
* For each entry in Column I, darken the bubbles of all the matching entries. For example, if entry (A)in Column I matches with entries (Q), (R) and (T), then darken these three bubbles in the ORS.Similarly, for entries (B), (C) and (D).
* Marking scheme:For each entry in Column I,+2 If only the bubble(s) corresponding to all the correct match(es) is(are) darkened0 If none of the bubbles is darkened�1 In all other cases
Q.39Metallurgy
Match the anionic species given in Column I that are present in the ore(s)given in Column II.
This section contains 8 questions. The answer to each question is a SINGLE DIGIT INTEGERranging fom 0 to 9, both inclusive. [Marking scheme : +4, 0]
Q.41P&C
Let n be the number of ways in which 5 boys and 5 girls can stand in a queue in such a way that all thegirls stand consecutively in the queue. Let m be the number of ways in which 5 boys and 5 girls can stand
in a queue in such a way that exactly four girls stand consecutively in the queue. Then the value of n
m is
[Ans: 5]Q.41
P&Cekuk fd n rjhdksa ls 5 yM+ds vkSj 5 yM+fd;k¡ ,d ifDr esa bl izdkj [kM+s gks ldrs gSa fd lHkh yM+fd;ksa ifDr
esa Øekaxr (consecutively) [kM+ha gksaA ekuk m rjhdksa ls 5 yM+fd;k¡ ,d ifDr esa bl izdkj [kM+s gks ldrs gSa fd
Bhd (exactly) 4 YkM+fd;k¡ gh iafDr esa Øekaxr [kM+ha gksaA rc n
m dk eku gSA
[Ans: 5]
Q.42Parabola
If the normals of the parabola y2 = 4x drawn at the end points of its latus rectum are tangents to thecircle (x � 3)2 + ( y + 2)2 = r2, then the value of r2 is [Ans: 2]
A cylindrical container is to be made from certain solid material with the following con-straints: It has a fixed inner volume of V mm3, has a 2 mm thick solid wall and is open at the top. Thebottom of the container is a solid circular disc of thickness 2 mm and is of radius equal to the outer radiusof the container.If the volume of the material used to make the container is minimum when the inner radius of the
Let the curve C be the mirror image of the parabola y2 = 4x with respect to the line x + y + 4 = 0. IfA and B are the points of intersection of C with the line y = �5, then the distance between A and B is
The minimum number of times a fair coin needs to be tossed, so that the probability of getting atleast two heads is at least 0.96 is [Ans: 8]
Q.48Probability
,d U;kÓ flDdsa (fair coin) dks U;wure fdruh ckj mNkyuk iM+sxk] ftlls fd de ls de nks fpr (head)izdV gksus dh izkf;drk (probability) de ls de 0.96 gks\ [Ans: 8]
SECTION �2 : (MM : 40)This section contains 10 questions. Each question has FOUR options (A), (B), (C) and (D). ONEOR MORE THAN ONE of these four option(s) is(are) correct.[Marking scheme : +4, �2]
Q.493D
In R3, consider the planes P1: y = 0 and P2 : x + z = 1. Let P3 be a plane, different from P1 and P2, whichpasses through the intersection of P1 and P2. If the distance of the point (0, 1, 0) from P3 is 1 and thedistance of a point () from P3 is 2, then which of the following reactions is(are) true?(A) 2 + + 2 + 2 = 0 (B) 2 � + 2 + 4 = 0(C) 2 + � 2 � 10 = 0 (D) 2 � + 2 � 8 = 0
3DIn R3, let L be a straight line passing through the origin. Suppose that all the points on L are at a constantdistance from the two planes P1 : x + 2y � z + 1 = 0 and P2 : 2x � y + z � 1 = 0. Let M be the locus of
the feet of the perpendiculars drawn from the points on L to the plane P1. Which of the following pointslie(s) on M?
(A)
3
2,
6
5,0 (B)
6
1,
3
1,
6
1(C)
6
1,0,
6
5(D)
3
2,0,
3
1
[Ans:A, B ]
Q.503D
ekuk fd R3 esa L ,d ljy js[kk gS tks fd ewy fcUnq ls tkrh gSA ekuk fd L ds lHkh fcUnq leryksa
P1 : x + 2y � z + 1 = 0 rFkk P2 : 2x � y + z � 1 = 0 ls fLFkj nwjh ij gSaA ekuk fd L ds fcUnqvksa ls lery P1ij Mkys x, yEcksa ds iknksa (feet of the perpendiculars) dk iFk (locus) M gSA fuEufyf[kr fcUnqvksa es ls dkSu lk
Let P and Q be distinct points on the parabola y2 = 2x such that a circle with PQ as diameter passes
through the vertex O of the parabola. If P lies in the first quadrant and the area of triangle OPQ is 23 ,then which of the following is(are) the coordinates of P?
PQ gS] bl ijoy; ds 'kh"kZ (vertex) O ls tkrk gSA ;fn P izFke prqjka'k (first quadrant) esa fLFkr gS rFkk f=Hkqt
OPQ dk {ks=Qy 23 gS] rks fuEu esa ls dkSu lk ¼ls½ fcUnq P ds funsZ'kkad gS ¼gSa½?
(A) 22,4 (B) 23,9 (C)
2
1,
4
1(D) 2,1
[Ans: A, D]
Q.52Differential Equation
Let y(x) be a solution of the differential equation (1 + ex)y + yex = 1. If y(0) = 2, then whichof the following statements is (are) true?(A) y (�4) = 0 (B) y(�2) = 0
(C) y(x) has a critical point in the interval (�1, 0)
(D) y(x) has no critical point in the interval (�1, 0)
Consider the family of all circles whose centers lie on the straight line y = x. If this family of circles isrepresented by the differential equation Py + Qy + 1 = 0, where P, Q are functions of x, y and y(here
y = dx
dy, y= 2
2
dx
yd), then which of the following statements is(are) true?
(A) P = y + x (B) P = y � x(C) P + Q = 1 � x + y + y' + (y')2 (D) P � Q = x + y � y' � (y')2
[Ans: B, C]
Q.53Diff.. Eq.
mu lHkh o`Ùk&dqy ( family of all circles) dks fopkj dhft, ftuds dsUnz ljy js[kk y = x ij fLFkr gSaA ;fnbl o`Ùk&dqy ds lHkh o`Ùk] vody lehdj.k Py + Qy + 1 = 0, ls fu:fir gksrs gSa] tgk¡ P, Q bl izdkj gSa fd
os x, y vkSj yds Qyu gSa (;gk¡ y = dx
dy, y= 2
2
dx
yd), rc fuEufyf[kr dFkuksa esa ls dkSu lk ¼ls½lgh gS ¼gSa½\
(A) P = y + x (B) P = y � x(C) P + Q = 1 � x + y + y' + (y')2 (D) P � Q = x + y � y' � (y')2
Let g : R R be a differential function with g(0) = 0, g'(0) = 0 and g'(1) 0. Let f(x)
=
0x,0
0x),x(g|x|
x
and h (x) = e|x| for all x R. Let (f h) (x) denote f(h(x)) and (h f) (x) denote h(f(x)). Then which of thefollowing is(are) true?(A) f is differentiable at x = 0 (B) h is differentiable at x = 0(C) f h is differentiable at x = 0 (D) h f is differentiable at x = 0
[Ans: A, D]
Q.54Continuity & Differentiability
ekuk fd g : R R ,d vodyuh; Qyu gS tgk¡ fd g(0) = 0, g'(0) = 0 ,oa g'(1) 0 gSaA
ekuk fd f(x) =
0x,0
0x),x(g|x|
x
vkSj izR;sd x R ds fy, h (x) = e|x| gSA ekuk fd (f h) (x) vkSj (h f) (x) Øe'k% f(h(x)) vkSj h(f(x)) dks n'kkZrs
gSaA rc fuEufyf[kr dFkuksa esa ls dkSu lk ¼ls½ lgh gS ¼gSa½\
(A) x = 0 ij f vodyuh; gS (B) x = 0 ij h vodyuh; gS
(C) x = 0 ij f h vodyuh; gS (D) x = 0 ij h f vodyuh; gS
[Ans: A, D]
Q.55Function Let f(x) =
xsin
2sin
6sin for x R and g(x) =
2
sin x for all x R. Let (f g) (x) denote
f(g(x)) and (g f) (x) denote g(f(x)). Then which of the following is(are) true?
SECTION �3: (MM : 16)This section contains 2 questions. Each question has Two Columns, Column I and Column II.Column I has four entries (A), (B), (C) and (D).Column II has five entries (P), (Q), (R), (S) and(T). Match the entries in Column I with entries of Column II. ONE OR MORE entries in Column Imay match with ONE OR MORE entries in Column II. Marking Scheme: [+2, �1][Marking scheme : +4, �2]
PUT THIS QUESTION IN COMPLEX NO.Q.59 Column I Column II
(A) In R2, if the magnitude of the projection (P) 1
vector of the vector j�i� on j�i�3 is 3
and if = 32 , then possible value(s) of
|| is(are)(B) Let a and b be real numbers such that the function (Q) 2
1x,abx
1x,2ax3)x(f 2
2
is differentiable for all x R. Then possible value(s) of a is(are)(C) Let 1 be a complex cube root of unity. If (R) 3 (3 � 3 + 22)4n + 3+ (2 + 3 � 32)4n + 3 + (�3 + 2 + 32)4n + 3 = 0, then possible value(s) of n is(are)(D) Let the harmonic mean of two positive real numbers (S) 4 a and b be 4. If q is a positive real number such that a, 5, q, b is an arithmetic progression, then the value(s) of |q � a| is(are) (T) 5
;fn (3 � 3 + 22)4n + 3 + (2 + 3 � 32)4n + 3 + (�3 + 2 + 32)4n + 3 = 0, rc n ds laHko eku gS (gSa)(D) ekuk fd nks /kukRed okLrfod la[;k,¡ a vkSj b dk (S) 4 gjkRed ek/; 4 gSA ;fn ,d /kukRed okLrfod la[;k q bl izdkj gS fd a, 5, q, b ,d lekukarj Js.kh gSA
rc |q � a| dk (ds) eku gS ¼gSa½ (T) 5[Ans: A - PQ, B - PQ, C - PQST, D - QT]
Q.60AUC Column I Column II(A) In a XYZ, let a, b and c be the lengths of the sides (P) 1 opposite to the angles X, Y and Z, respectively. If
2(a2 � b2) = c2 and =
Zsin
YXsin , then possible
values of n for which cos(n) = 0 is(are)(B) In a XYZ, let a, b and c be the lengths of the sides (Q) 2 opposite to the angles X, Y and Z, respectively. If 1 + cos 2X � 2 cos2Y = 2sinX sinY, then possible
value(s) of b
a is(are)
(C) In R2, let j�i�3 , j�3i� and j�1i� (R) 3
be the position vectors of X, Y and Z with respect to the origin O, respectively. If the distance of Z from the bisector
of acute angle of
OX with
OY is 2
3 , then possible value(s) of
|| is(are)(D) Suppose that F() denotes the area of the region bounded (S) 5 by x = 0, x = 2, y2 = 4x and y = |x � 1| + |x � 2| + x,
Two spherical stars A and B emit blackbody radiation. The radius of A is 400
times that of B and A emits 104 times the power emitted from B. The ratio A
B
of their wave-
lengths A and
B at which the peaks occur in their respective radiation curves is
Ans: 2Q.2
Heat transfernks xksykdkj rkjksa A rFkk B }kjk Ñf".kdk ¼CySd ckWMh½ fofdj.k mRlftZr fd;k tk jgk
gSA A dh f=T;k B dh f=T;k dh 400 xquk gS rFkk A ls mRlftZr ÅtkZ dh 104 xquk gSA mudh mu
rjaxnS/;ksZa A vkSj
B , ftu ij muds fofdj.k oØ mPpre gSa] ds vuqikr
A
B
dk eku gSA
Ans: 2
Q.3Modern physics
A nuclear power plant supplying electrical power to a village uses a radioac-tive material of half life T years as the fuel. The amount of fuel at the beginning is such that the totalpower requirement of the village is 12.5% of the electrical power available from the plant at thattime. If the plant is able to meet the total power needs of the village for a maximum period of nTyears, then the value of n is
Ans: 3
Q.3Modern physics
,d xk¡o dks fo|qr ÅtkZ iznku djus okys ukfHkdh; la;= esa ,d T o"kZ v)Z&vk;q ds
vko';drkvksa dks vf/kdre nT o"kksZa ds fy, iwjk dj ldrk gS] rc n dk eku gSA
Ans: 3Q.4
Wave opticsA Young's double slit interference arrangement with slits S
1 and S
2 is im-
mersed in water (refractive index = 4/3) as shown in the figure. The positions of maxima on thesurface of water are given by x2 = p2m22 � d2, where is the wavelength of light in air (refractiveindex = 1), 2d is the separation between the slits and m is an integer. The value of p is
S1
S2
d
d x Air
Water
CODE # 2 JEE ADVANCED PAPER-I HELD ON SUNDAY 24 MAY, 2015_[PHYSICS]
S2 gSa] dks n'kkZ;s fp=kuqlkj ikuh ¼viorZukad = 4/3) esa Mqck;k x;k gSA ikuh dh lrg ij egRre rhozrk dh
fLFkfr;k¡ x2 = p2m22 � d2 laca/k }kjk nh tkrh gSaA ;gk¡ ij izdk'k dh ok;q (viorZukad = 1) esa rjaxnS/;Z] 2df>fj;ksa ds e/; nwjh rFkk m ,d iw.kkZd gSA rc p dk eku gSA
S1
S2
d
d x Air
Water
Ans: 3Q.5
Geometrical opticsConsider a concave mirror and a convex lens (refractive index = 1.5) of focal
length 10 cm each, separated by a distance of 50 cm in air (refractive index = 1) as shown in thefigure. An object is placed at distance of 15 cm from the mirror. Its erect image formed by thiscombination has magnification M
1. When the set-up is kept in a medium of refractive index 7/6, the
2 a nwjh ij j[kk x;k gSA ;fn blds fo|qr {ks= dk x-y ry
esa fLFkr ewy fcUnq ij dsfUnzr ABCD vk;rkdkj lrg ls gksdj tkus okyk ¶yDl (0 = ijkoS|qrkad dk ifjek.k)
0
L
n
gS] rc n dk eku gSA
x
BA
a y
CLD
z
32
a
O
Ans: 6
Q.7Modern physics
Consider a hydrogen atom with its electron in the nth orbital. An electromagnetic radiation ofwavelength 90 nm is used to ionize the atom. If the kinetic energy of the ejected electron is 10.4eV,then the value of n is (hc = 1242 eV nm)
Ans: 2Q.7
Modern physics ,d gkbMªkstu ijek.kq esa bysDVªkWu nth d{kk esa gSA mldks vk;fur djus ds fy, 90 nm rjaxnS/;Z ds
A bullet is fired vertically upwards with velocity v from the surface of aspherical planet. When it reaches its maximum height, its acceleration due to the planet's gravity is 1/
4 of its value at the surface of the planet. If the escape velocity from the planet is vesc
= v N , then
the value of N is (ignore energy loss due to atmosphere)Ans: 2Q.8
Gravitation,d xksykdkj xzg dh lrg ls ,d xksyh v osx ls Å/okZ/kj fn'kk esa iz{ksfir dh tkrh
gSA xksyh dh mPpre Å¡pkbZ ij xzg ds xq:Rokd"kZ.k ds dkj.k blds Roj.k dk eku xzg dh lRkg ij xq:Roh;
SECTION 2 (Maximum Marks : 40)* This section contains TEN questions* Each question has FOUR options (A), (B), (C) and (D) ONE OR MORE THAN ONE of these four
option(s) is (are) correct* For each question, darken the bubble(s) corresponding to all the correct option(s) in the ORS* Marking scheme :
+4 If only the bubble(s) corresponding to all the correct option(s) is (are)0 If one of the bubbles is darkened�2 In all other cases
Q.9SHM
Two independent harmonic oscillators of equal mass are oscillating about the origin with angularfrequencies
1 and
2 and have total energies E
1 and E
2, respectively. The variations of their
momenta p with positions x are shown in the figures. If a
The figures below depict two situations in which two infinitely long staticline charges of constant positive line charge density . are kept parallel to each other. In their result-ing electric field, point charges q and �q axe kept in equilibrium between them. The point charges are
confined to move in the x direction only. If they are given a small displacement about their equilib-rium positions, then the correct statement(s) is (are)
+qx
�qx
(A) Both charges execute simple harmonic motion.(B) Both charges will continue moving in the direction of their displacement.(C) Charge +q executes simple harmonic motion while charge �q continues moving in the direction
of its displacement.(D) Charge �q executes simple harmonic motion while charge +q continues moving in the direction
of its displacement.Ans: (C)Q.11
Electrostaticsfn;s x;s fp=ksa esa nks fLFkfr;k¡ fn[kk;h x;h gSa ftuesa nks vuUr yEckbZ ds ,d leku
end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shownin the figure, with their axes (shown by the dashed line) aligned. When a point source of light P isplaced inside rod S
1 on its axis at a distance of 50 cm from the curved face, the light rays emanating
from it are found to be parallel to the axis inside S2. The distance d is
d50 cm
S1 P S2
(A) 60 cm (B) 70 cm (C) 80 cm (D) 90 cmAns: (B)Q.12
A conductor (shown in the figure) carrying constant current I is kept in the x-
y plane in a uniform magnetic field B
. If F is the magnitude of the total magnetic force acting on theconductor, then the correct statement(s) is (are)
L R R L
/6 /4I
y
x
R R
(A) If B
is along �z,F (L R) (B) If B
is along �x,F 0
(C) If B
is along �y,F (L R) (B) If B
is along �z,F 0Ans: (A,B,C)Q.13
Magnetic effects of current,d n'kkZ;s x, fp=kuqlkj x-y ry esa fLFkr ,d fo|qr I /kkjkokgh pkyd ,dleku
pqEcdh; {ks= B
esa j[kk gSA ;fn pkyd ij yxus okys dqy pqEcdh; cy dk ifjek.k F gS] rc lgh fodYi gS
(gSa)
L R R L
/6 /4I
y
x
R R
(A) ;fn B
dh fn'kk �z gS rcF (L R) (B) ;fn B
dh fn'kk �x gS rc F = 0
(C) ;fn B
dh fn'kk �y gS rcF (L R) (B) ;fn B
dh fn'kk �z gS rc F = 0Ans: (A,B,C)
Q.14Mechanical wave
A container of fixed volume has a mixture of one mole of hydrogen and onemole of helium in equilibrium at temperature T. Assuming the gases are ideal, the correct statemetn(s)is (are)(A) The average energy per mole of the gas mixture is 2RT
(B) The ratio of speed of sound in the gas mixture to that in helium gas is 6 / 5(C) The ratio of the rms speed of helium atoms to that of hydrogen molecules is 1/2
(D) The ratio of the rms speed of helium atoms to that of hydrogen molecules is 1/ 2 .
Ans: (A,B,D)
CODE # 2 JEE ADVANCED PAPER-I HELD ON SUNDAY 24 MAY, 2015_[PHYSICS]
In an aluminium (Al) bar of square cross section, a square hole is drilled andis filled with iron (Fe) as shown in the figure. The electrical resistivities of Al and Fe are 2.7 × 10�8 mand 1.0 × 10�7 m, respectively. The electrical resistance between the two faces P and Q of thecomposite bar is:
Al
Fe
2mm P
Q
50mm
7mm
(A) 2475
64 (B)
1875
64 (C)
1875
49 (D)
2475
132
Ans: (B)Q.15
Current electricityn'kkZ;s fp=kuqlkj ,d oxkZdkj vuqizLFk dkV dh ,Y;qfeue (Al) dh flYyh (bar) esa
For photo-electric effect with incident photon wavelength , the stoppingpotential is V
0. Identify the correct variation(s) of V
0 with and 1/.
(A)
V0
(B)
V0
(C)
V0
(D)
V0
Ans: (A,C)Q.16
Modern physicsizdk'k&fo|qr izHkko esa vkifrr QksVkWu dh rjaxnS/;Z gS rFkk fujks/kh foHko V
0 gSA V
0
dk rFkk1/ ds lkFk lgh xzkQ gS ¼gSa½
(A)
V0
(B)
V0
(C)
V0
(D)
V0
Ans: (A,C)
Q.17Error analysis
Consider a Vernier callipers in which each 1 cm on the main scale is dividedinto 8 equal divisions and a screw gauge with 100 divisions on its circular scale. In the Verniercallipers, 5 divisions of the Vernier scale coincide with 4 divisions on the main scale and in the screwgauge, one complete rotation of the circular scale moves it by two divisions on the linear scale. Then:(A) If the pitch of the screw gauge is twice the least count of the Vernier callipers, the least countof the screw gauge is 0.01 mm.(B) If the pitch of the screw gauge is twice the least count of the Vernier callipers, the least countof the screw gauge is 0.005 mm.(C) If the least count of the linear scale of the screw gauge is twice the least count of the Verniercallipers, the least count of the screw gauge is 0.01 mm.(D) If the least count of the linear scale of the screw gauge is twice the least count of the Verniercallipers, the least count of the screw gauge is 0.005 mm.
Ans: BC
CODE # 2 JEE ADVANCED PAPER-I HELD ON SUNDAY 24 MAY, 2015_[PHYSICS]
Planck's constant h, speed of light c and gravitational constant G are used toform a unit of length L and a unit of mass M. Then the correct option(s) is(are)
(A) M c (B) M G (C) L h (D) L G
Ans: (ACD)Q.18
Unit dimensionIykad fLFkjkad h, izdk'k dh pky c rFkk xq:Rokd"kZ.k fLFkjkad (gravitational con-
stant) G dks yackbZ dh bdkbZ L rFkk nzO;eku dh bdkbZ M cukus ds fy, iz;ksx fd;k tkrk gSA rc lgh dFku
gS (gSa)
(A) M c (B) M G (C) L h (D) L G
Ans: (ACD)
SECTION 3 (Maximum Marks: 16)* This section contains TWO questions* Each question contains two columns, Column I and Column II* Column I has four entries (A), (B), (C) and (D)* Column II has five entries (P), (Q), (R), (S) and (T)* Match the entries in Column I with the entries in Column II* One or more entries in Column I may match with one or more entries in Column II* The ORS contains a 4 × 5 matrix whose layout will be similar to the one shown below:
(A) (P) (Q) (R) (S) (T)
(B) (P) (Q) (R) (S) (T)
(C) (P) (Q) (R) (S) (T)
(D) (P) (Q) (R) (S) (T)
* For each entry in Column I, darken the bubbles of all the matching entries. For example, if entry (A)in Column I matches with entries (Q), (R) and (T), then darken these three bubbles in the ORS.Similarly, for entries (B), (C) and (D).
CODE # 2 JEE ADVANCED PAPER-I HELD ON SUNDAY 24 MAY, 2015_[PHYSICS]
* Marking scheme:For each entry in Column I,+2 If only the bubble(s) corresponding to all the correct match(es) is(are) darkened0 If none of the bubbles is darkened�1 In all other cases
Q.19Modern physics
Match the nuclear processes given in column I with the appropriate option(s)in column II.Column I Column II
(A) Nuclear fusion (P) Absorption of thermal neutrons by 23592 U
(B) Fission in a nuclear reactor (Q) 6027 Co nucleus
(C) -decay (R) Energy production in stars via hydrogenconversion to helium
(D) -ray emission (S) Heavy water(T) Neutrino emission
Ans: (A)�(R or RT), (B)�(P,Q,S or PQST), (C)�(Q,T), (D)�(PQR)Q.19
Modern physicsdkWye � I esa nh x;h ukfHkdh; izfØ;kvksa dk dkWye II esa fn;s x;s fodYi@fodYiksa
(C) -{k; (R) rkjksa esa gkbMªkstu dk ghfy;e esa ifjorZu }kjk ÅtkZ
mRiknu
(D) -fdj.k mRltZu (S) Hkkjh ty
(T) U;wfVªuksa mRltZu
Ans: (A)�(R or RT), (B)�(P,Q,S or PQST), (C)�(Q,T), (D)�(PQR)
Q.20SHM
A particle of unit mass is moving along the x-axis under the influence of aforce and its total energy is conserved. Four possible forms of the potential energy of the particle aregiven in column �I (a and U
0 are constants). Match the potential energies in coloum I to the corre-
sponding statement(s) in column II.Column�I Column�II
(A)
22
01
U xU (x) 1
2 a
(P) The fore acting on the particle is zero at x =a
(B) 2
02
U xU (x)
2 a
(Q) The force acting on the particle is zero at x = 0
(C)
2 2
03
U x xU (x) exp
2 a a
(R) The force acting on the particle is zero at x = �a
(D)
3
04
U x 1 xU (x)
2 a 3 a
(S) The particle experiences an attractive force
CODE # 2 JEE ADVANCED PAPER-I HELD ON SUNDAY 24 MAY, 2015_[PHYSICS]