JEE Advanced 2013 Paper 1 Question Paper

Question 1

Perpendiculars are drawn from points on the line $\frac{x+2}{2}=\frac{y+1}{-1}=\frac{z}{3}$ to the plane $x+y+z=3$. The feet of perpendiculars lie on the line

Accepted Answer

(D) $\frac{x}{2}=\frac{y-1}{-7}=\frac{z-2}{5}$

Answer

(A) $\frac{x}{5}=\frac{y-1}{8}=\frac{z-2}{-13}$

Answer

(B) $\frac{x}{2}=\frac{y-1}{3}=\frac{z-2}{-5}$

Answer

(C) $\frac{x}{4}=\frac{y-1}{3}=\frac{z-2}{-7}$

Question 2

For $a>b>c>0$, the distance between $(1,1)$ and the point of intersection of the lines $ax+by+c=0$ and $bx+ay+c=0$ is less than $2\sqrt{2}$, then

Accepted Answer

(A) $a+b-c>0$

Answer

(B) $a-b+c<0$

Answer

(C) $a-b+c>0$

Answer

(D) $a+b-c<0$

Question 3

The area enclosed by the curves $y=\sin x+\cos x$ and $y=|\cos x-\sin x|$ over the interval $[0,\frac{\pi}{2}]$ is

Accepted Answer

(B) $2\sqrt{2}(\sqrt{2}-1)$

Answer

(A) $4(\sqrt{2}-1)$

Answer

(C) $2(\sqrt{2}+1)$

Answer

(D) $2\sqrt{2}(\sqrt{2}+1)$

Question 4

Four persons independently solve a certain problem correctly with probabilities $\frac{1}{2},\frac{3}{4},\frac{1}{4},\frac{1}{8}$. Then the probability that the problem is solved correctly by at least one of them is

Accepted Answer

(A) $\frac{235}{256}$

Answer

(B) $\frac{21}{256}$

Answer

(C) $\frac{3}{256}$

Answer

(D) $\frac{253}{256}$

Question 5

Let complex numbers $\alpha$ and $\frac{1}{\bar{\alpha}}$ lie on circles $(x-x_0)^2+(y-y_0)^2=r^2$ and $(x-x_0)^2+(y-y_0)^2=4r^2$, respectively. If $z_0=x_0+iy_0$ satisfies the equation $2|z_0|^2=r^2+2$, then $|\alpha|=$

Accepted Answer

(C) $\frac{1}{\sqrt{7}}$

Answer

(A) $\frac{1}{\sqrt{2}}$

Answer

(B) $\frac{1}{2}$

Answer

(D) $\frac{1}{3}$

Question 6

The number of points in $(-\infty,\infty)$, for which $x^2-x\sin x-\cos x=0$, is

Accepted Answer

(C) $2$

Answer

(A) $6$

Answer

(B) $4$

Answer

(D) $0$

Question 7

Let $f:[\frac{1}{2},1]	o R$ (the set of all real numbers) be a positive, non-constant and differentiable function such that $f'(x)<2f(x)$ and $f(\frac{1}{2})=1$. Then the value of $\int_{1/2}^{1}f(x)\,dx$ lies in the interval

Accepted Answer

(D) $(0,\frac{e-1}{2})$

Answer

(A) $(2e-1,2e)$

Answer

(B) $(e-1,2e-1)$

Answer

(C) $(\frac{e-1}{2},e-1)$

Question 8

Let $\overrightarrow{PR}=3\hat{i}+\hat{j}-2\hat{k}$ and $\overrightarrow{SQ}=\hat{i}-3\hat{j}-4\hat{k}$ determine diagonals of a parallelogram PQRS and $\overrightarrow{PT}=\hat{i}+2\hat{j}+3\hat{k}$ be another vector. Then the volume of the parallelepiped determined by the vectors $\overrightarrow{PT},\overrightarrow{PQ}$ and $\overrightarrow{PS}$ is

Accepted Answer

(C) $10$

Answer

(A) $5$

Answer

(B) $20$

Answer

(D) $30$

Question 9

The value of $\cot\left(\sum_{n=1}^{23}\cot^{-1}\left(1+\sum_{k=1}^{n}2k\right)\right)$ is

Accepted Answer

(B) $\frac{25}{23}$

Answer

(A) $\frac{23}{25}$

Answer

(C) $\frac{23}{24}$

Answer

(D) $\frac{24}{23}$

Question 10

A curve passes through the point $(1,\frac{\pi}{6})$. Let the slope of the curve at each point $(x,y)$ be $\frac{y}{x}+\sec\left(\frac{y}{x}\right)$, $x>0$. Then the equation of the curve is

Accepted Answer

(A) $\sin\left(\frac{y}{x}\right)=\log x+\frac{1}{2}$

Answer

(B) $\operatorname{cosec}\left(\frac{y}{x}\right)=\log x+2$

Answer

(C) $\sec\left(\frac{2y}{x}\right)=\log x+2$

Answer

(D) $\cos\left(\frac{2y}{x}\right)=\log x+\frac{1}{2}$

Question 11

A line $l$ passing through the origin is perpendicular to the lines $l_1:(3+t)\hat{i}+(-1+2t)\hat{j}+(4+2t)\hat{k}$, $-\infty<t<\infty$, $l_2:(3+2s)\hat{i}+(3+2s)\hat{j}+(2+s)\hat{k}$, $-\infty<s<\infty$. Then, the coordinate(s) of the point(s) on $l_2$ at a distance of $\sqrt{17}$ from the point of intersection of $l$ and $l_1$ is (are)

Accepted Answer

(B) $(-1,-1,0)$

Accepted Answer

(D) $(\frac{7}{9},\frac{7}{9},\frac{8}{9})$

Answer

(A) $(\frac{7}{3},\frac{7}{3},\frac{5}{3})$

Answer

(C) $(1,1,1)$

Question 12

Let $f(x)=x\sin\pi x$, $x>0$. Then for all natural numbers $n$, $f'(x)$ vanishes at

Accepted Answer

(B) a unique point in the interval $(n+\frac{1}{2},n+1)$

Accepted Answer

(C) a unique point in the interval $(n,n+1)$

Answer

(A) a unique point in the interval $(n,n+\frac{1}{2})$

Answer

(D) two points in the interval $(n,n+1)$

Question 13

Let $S_n=\sum_{k=1}^{4n}(-1)^{\frac{k(k+1)}{2}}k^2$. Then $S_n$ can take value(s)

Accepted Answer

(A) $1056$

Accepted Answer

(D) $1332$

Answer

(B) $1088$

Answer

(C) $1120$

Question 14

For $3	imes 3$ matrices M and N, which of the following statement(s) is (are) NOT correct ?

Accepted Answer

(C) $MN$ is symmetric for all symmetric matrices M and N

Accepted Answer

(D) $(	ext{adj }M)(	ext{adj }N)=	ext{adj}(MN)$ for all invertible matrices M and N

Answer

(A) $N^TMN$ is symmetric or skew symmetric, according as M is symmetric or skew symmetric

Answer

(B) $MN-NM$ is skew symmetric for all symmetric matrices M and N

Question 15

A rectangular sheet of fixed perimeter with sides having their lengths in the ratio $8:15$ is converted into an open rectangular box by folding after removing squares of equal area from all four corners. If the total area of removed squares is 100, the resulting box has maximum volume. Then the lengths of the sides of the rectangular sheet are

Accepted Answer

(A) $24$

Accepted Answer

(C) $45$

Answer

(B) $32$

Answer

(D) $60$

Question 16

Consider the set of eight vectors $V=\{a\hat{i}+b\hat{j}+c\hat{k}; a,b,c\in\{-1,1\}\}$. Three non-coplanar vectors can be chosen from V in $2^p$ ways. Then p is ________

Accepted Answer

5

Question 17

Of the three independent events $E_1$, $E_2$, and $E_3$, the probability that only $E_1$ occurs is $\alpha$, only $E_2$ occurs is $\beta$ and only $E_3$ occurs is $\gamma$. Let the probability $p$ that none of events $E_1$, $E_2$ or $E_3$ occurs satisfy the equations $(\alpha-2\beta)p=\alpha\beta$ and $(\beta-3\gamma)p=2\beta\gamma$. All the given probabilities are assumed to lie in the interval $(0,1)$. Then $\dfrac{	ext{Probability of occurrence of }E_1}{	ext{Probability of occurrence of }E_3}=$ ___________

Accepted Answer

6

Question 18

The coefficients of three consecutive terms of $(1+x)^{n+5}$ are in the ratio $5:10:14$. Then n = _______

Accepted Answer

6

Question 19

A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of the numbers on the remaining cards is 1224. If the smaller of the numbers on the removed cards is k, then $k-20=$ ________

Accepted Answer

5

Question 20

A vertical line passing through the point $(h,0)$ intersects the ellipse $\frac{x^2}{4}+\frac{y^2}{3}=1$ at the points P and Q. Let the tangents to the ellipse at P and Q meet at the point R. If $\Delta(h)$ = area of the triangle PQR, $\Delta_1=\max_{1/2\leq h\leq 1}\Delta(h)$ and $\Delta_2=\min_{1/2\leq h\leq 1}\Delta(h)$, then $\frac{8}{\sqrt{5}}\Delta_1-8\Delta_2=$ ________

Accepted Answer

9

Question 21

One end of a horizontal thick copper wire of length $2L$ and radius $2R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

Accepted Answer

(C) 2.00

Answer

(A) 0.25

Answer

(B) 0.50

Answer

(D) 4.00

Question 22

The work done on a particle of mass $m$ by a force $K\left[\frac{x}{(x^{2}+y^{2})^{3/2}}\hat{i}+\frac{y}{(x^{2}+y^{2})^{3/2}}\hat{j}\right]$ (K being a constant of appropriate dimensions), when the particle is taken from the point $(a, 0)$ to the point $(0, a)$ along a circular path of radius $a$ about the origin in the x-y plane is

Accepted Answer

(D) 0

Answer

(A) $\frac{2K\pi}{a}$

Answer

(B) $\frac{K\pi}{a}$

Answer

(C) $\frac{K\pi}{2a}$

Question 23

Two rectangular blocks, having identical dimensions, can be arranged either in configuration I or in configuration II as shown in the figure. One of the blocks has thermal conductivity $\kappa$ and the other $2\kappa$. The temperature difference between the ends along the x-axis is the same in both the configurations. It takes 9 s to transport a certain amount of heat from the hot end to the cold end in the configuration I. The time to transport the same amount of heat in the configuration II is

Accepted Answer

(A) 2.0 s

Answer

(B) 3.0 s

Answer

(C) 4.5 s

Answer

(D) 6.0 s

Question 24

A ray of light travelling in the direction $\frac{1}{2}(\hat{i}+\sqrt{3}\hat{j})$ is incident on a plane mirror. After reflection, it travels along the direction $\frac{1}{2}(\hat{i}-\sqrt{3}\hat{j})$. The angle of incidence is

Accepted Answer

(A) 30°

Answer

(B) 45°

Answer

(C) 60°

Answer

(D) 75°

Question 25

The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero of the Vernier scale lies between 5.10 cm and 5.15 cm of the main scale. The Vernier scale has 50 divisions equivalent to 2.45 cm. The 24$^{th}$ division of the Vernier scale exactly coincides with one of the main scale divisions. The diameter of the cylinder is

Accepted Answer

(B) 5.124 cm

Answer

(A) 5.112 cm

Answer

(C) 5.136 cm

Answer

(D) 5.148 cm

Question 26

Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their partial pressures, when enclosed in a vessel kept at a constant temperature, is 4 : 3. The ratio of their densities is

Accepted Answer

(D) 8 : 9

Answer

(A) 1 : 4

Answer

(B) 1 : 2

Answer

(C) 6 : 9

Question 27

In the Young’s double slit experiment using a monochromatic light of wavelength $\lambda$, the path difference (in terms of an integer n) corresponding to any point having half the peak intensity is

Accepted Answer

(B) $\frac{(2n+1)\lambda}{4}$

Answer

(A) $\frac{(2n+1)\lambda}{2}$

Answer

(C) $\frac{(2n+1)\lambda}{8}$

Answer

(D) $\frac{(2n+1)\lambda}{16}$

Question 28

The image of an object, formed by a plano-convex lens at a distance of 8 m behind the lens, is real and is one-third the size of the object. The wavelength of light inside the lens is $\frac{2}{3}$ times the wavelength in free space. The radius of the curved surface of the lens is

Accepted Answer

(C) 3 m

Answer

(A) 1 m

Answer

(B) 2 m

Answer

(D) 4 m

Question 29

A particle of mass m is projected from the ground with an initial speed $u_{0}$ at an angle $\alpha$ with the horizontal. At the highest point of its trajectory, it makes a completely inelastic collision with another identical particle, which was thrown vertically upward from the ground with the same initial speed $u_{0}$. The angle that the composite system makes with the horizontal immediately after the collision is

Accepted Answer

(A) $\frac{\pi}{4}$

Answer

(B) $\frac{\pi}{4}+\alpha$

Answer

(C) $\frac{\pi}{4}-\alpha$

Answer

(D) $\frac{\pi}{2}$

Question 30

A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30 mW and the speed of light is $3	imes 10^{8}$ m/s. The final momentum of the object is

Accepted Answer

(B) $1.0	imes 10^{-17}$ kg ms$^{-1}$

Answer

(A) $0.3	imes 10^{-17}$ kg ms$^{-1}$

Answer

(C) $3.0	imes 10^{-17}$ kg ms$^{-1}$

Answer

(D) $9.0	imes 10^{-17}$ kg ms$^{-1}$

Question 31

In the circuit shown in the figure, there are two parallel plate capacitors each of capacitance C. The switch $S_{1}$ is pressed first to fully charge the capacitor $C_{1}$ and then released. The switch $S_{2}$ is then pressed to charge the capacitor $C_{2}$. After some time, $S_{2}$ is released and then $S_{3}$ is pressed. After some time,

Accepted Answer

(B) the charge on the upper plate of $C_{1}$ is $CV_{0}$.

Accepted Answer

(D) the charge on the upper plate of $C_{2}$ is $-CV_{0}$.

Answer

(A) the charge on the upper plate of $C_{1}$ is $2CV_{0}$.

Answer

(C) the charge on the upper plate of $C_{1}$ is 0.

Question 32

A particle of mass M and positive charge Q, moving with a constant velocity $u_{1}=4\hat{i}$ ms$^{-1}$, enters a region of uniform static magnetic field normal to the x-y plane. The region of the magnetic field extends from x = 0 to x = L for all values of y. After passing through this region, the particle emerges on the other side after 10 milliseconds with a velocity $u_{2}=2(\sqrt{3}\hat{i}+\hat{j})$ m/s. The correct statement(s) is (are)

Accepted Answer

(A) The direction of the magnetic field is $-z$ direction.

Accepted Answer

(C) The magnitude of the magnetic field is $\frac{50\pi M}{3Q}$ units.

Answer

(B) The direction of the magnetic field is $+z$ direction.

Answer

(D) The magnitude of the magnetic field is $\frac{100\pi M}{3Q}$ units.

Question 33

A horizontal stretched string fixed at two ends, is vibrating in its fifth harmonic according to the equation $y(x, t) = 0.01 \sin[(62.8 	ext{ m}^{-1})x]\cos[(628 	ext{ s}^{-1})t]$ m. Assuming $\pi = 3.14$, the correct statement(s) is (are)

Accepted Answer

(B) the length of the string is 0.25 m.

Accepted Answer

(C) The maximum displacement of the midpoint of the string, from its equilibrium position is 0.01 m.

Answer

(A) The number of nodes is 5.

Answer

(D) The fundamental frequency is 100 Hz.

Question 34

A solid sphere of radius R and density $\rho$ is attached to one end of a mass-less spring of force constant k. The other end of the spring is connected to another solid sphere of radius R and density $3\rho$. The complete arrangement is placed in a liquid of density $2\rho$ and is allowed to reach equilibrium. The correct statement(s) is (are)

Accepted Answer

(A) the net elongation of the spring is $\frac{4\pi R^{3}\rho g}{3k}$

Accepted Answer

(D) the light sphere is completely submerged.

Answer

(B) the net elongation of the spring is $\frac{8\pi R^{3}\rho g}{3k}$

Answer

(C) the light sphere is partially submerged.

Question 35

Two non-conducting solid spheres of radii R and 2R, having uniform volume charge densities $\rho_{1}$ and $\rho_{2}$ respectively, touch each other. The net electric field at a distance 2R from the centre of the smaller sphere, along the line joining the centre of the spheres is zero. The ratio $\rho_{1}/\rho_{2}$ can be

Accepted Answer

(B) $-\frac{32}{25}$

Accepted Answer

(D) $4$

Answer

(A) $-4$

Answer

(C) $\frac{32}{25}$

Question 36

A bob of mass m, suspended by a string of length $l_{1}$ is given a minimum velocity required to complete a full circle in the vertical plane. At the highest point, it collides elastically with another bob of mass m suspended by a string of length $l_{2}$, which is initially at rest. Both the strings are mass-less and inextensible. If the second bob, after collision acquires the minimum speed required to complete a full circle in the vertical plane, the ratio $l_{1}/l_{2}$ is

Accepted Answer

5

Question 37

A particle of mass 0.2 kg is moving in one dimension under a force that delivers a constant power 0.5 W to the particle. If the initial speed (in m/s) of the particle is zero, the speed (in m/s) after 5 s is

Accepted Answer

5

Question 38

The work functions of Silver and Sodium are 4.6 and 2.3 eV, respectively. The ratio of the slope of the stopping potential versus frequency plot for Silver to that of Sodium is

Accepted Answer

1

Question 39

A freshly prepared sample of a radioisotope of half-life 1386 s has activity $10^{3}$ disintegrations per second. Given that $\ln 2 = 0.693$, the fraction of the initial number of nuclei (expressed in nearest integer percentage) that will decay in the first 80 s after preparation of the sample is

Accepted Answer

4

Question 40

A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angular velocity of 10 rad s$^{-1}$ about its own axis, which is vertical. Two uniform circular rings, each of mass 6.25 kg and radius 0.2 m, are gently placed symmetrically on the disc in such a manner that they are touching each other along the axis of the disc and are horizontal. Assume that the friction is large enough such that the rings are at rest relative to the disc and the system rotates about the original axis. The new angular velocity (in rad s$^{-1}$) of the system is

Accepted Answer

8

Question 41

In the reaction, P + Q → R + S the time taken for 75% reaction of P is twice the time taken for 50% reaction of P. The concentration of Q varies with reaction time as shown in the figure. The overall order of the reaction is

Accepted Answer

(D) 1

Answer

(A) 2

Answer

(B) 3

Answer

(C) 0

Question 42

Consider the following complex ions, P, Q and R: P = $[FeF_6]^{3-}$, Q = $[V(H_2O)_6]^{2+}$ and R = $[Fe(H_2O)_6]^{2+}$. The correct order of the complex ions, according to their spin–only magnetic moment values (in B.M.) is

Accepted Answer

(B) Q < R < P

Answer

(A) R < Q < P

Answer

(C) R < P < Q

Answer

(D) Q < P < R

Question 43

The arrangement of X$^{-}$ ions around A$^{+}$ ion in solid AX is given in the figure (not drawn to scale). If the radius of X$^{-}$ is 250 pm, the radius of A$^{+}$ is

Accepted Answer

(A) 104 pm

Answer

(B) 125 pm

Answer

(C) 183 pm

Answer

(D) 57 pm

Question 44

Concentrated nitric acid, upon long standing, turns yellow–brown due to the formation of

Accepted Answer

(B) $NO_2$

Answer

(A) $NO$

Answer

(C) $N_2O$

Answer

(D) $N_2O_4$

Question 45

The compound that does NOT liberate $CO_2$, on treatment with aqueous sodium bicarbonate solution, is

Accepted Answer

(D) Carbolic acid (Phenol)

Answer

(A) Benzoic acid

Answer

(B) Benzenesulphonic acid

Answer

(C) Salicylic acid

Question 46

Sulfide ores are common for the metals

Accepted Answer

(A) Ag, Cu and Pb

Answer

(B) Ag, Cu and Sn

Answer

(C) Ag, Mg and Pb

Answer

(D) Al, Cu and Pb

Question 47

Methylene blue, from its aqueous solution, is adsorbed on activated charcoal at 25$^{\circ}$C. For this process, the correct statement is

Accepted Answer

(B) The adsorption is accompanied by a decrease in enthalpy.

Answer

(A) The adsorption requires activation at 25$^{\circ}$C.

Answer

(C) The adsorption increases with increase of temperature.

Answer

(D) The adsorption is irreversible.

Question 48

KI in acetone, undergoes $S_N2$ reaction with each of P, Q, R and S. The rates of the reaction vary as shown in the figure.

Accepted Answer

(B) S > P > R > Q

Answer

(A) P > Q > R > S

Answer

(C) P > R > Q > S

Answer

(D) R > P > S > Q

Question 49

The standard enthalpies of formation of $CO_2$(g), $H_2O$(l) and glucose(s) at 25$^{\circ}$C are –400 kJ/mol, –300 kJ/mol and –1300 kJ/mol, respectively. The standard enthalpy of combustion per gram of glucose at 25$^{\circ}$C is

Accepted Answer

(C) –16.11 kJ

Answer

(A) +2900 kJ

Answer

(B) –2900 kJ

Answer

(D) +16.11 kJ

Question 50

Upon treatment with ammoniacal $H_2S$, the metal ion that precipitates as a sulfide is

Accepted Answer

(D) Zn(II)

Answer

(A) Fe(III)

Answer

(B) Al(III)

Answer

(C) Mg(II)

Question 51

The initial rate of hydrolysis of methyl acetate (1 M) by a weak acid (HA, 1M) is 1/100$^{th}$ of that of a strong acid (HX, 1M), at 25$^{\circ}$C. The $K_a$ of HA is

Accepted Answer

(A) $1 	imes 10^{-4}$

Answer

(B) $1 	imes 10^{-5}$

Answer

(C) $1 	imes 10^{-6}$

Answer

(D) $1 	imes 10^{-3}$

Question 52

The hyperconjugative stabilities of tert-butyl cation and 2-butene, respectively, are due to

Accepted Answer

(A) σ→p (empty) and σ→π* electron delocalisations.

Answer

(B) σ→σ* and σ→π electron delocalisations.

Answer

(C) σ→p (filled) and σ→π electron delocalisations.

Answer

(D) p(filled)→σ* and σ→π* electron delocalisations.

Question 53

The pair(s) of coordination complexes/ions exhibiting the same kind of isomerism is(are)

Accepted Answer

(B) $[Co(NH_3)_4Cl_2]^{+}$ and $[Pt(NH_3)_2(H_2O)Cl]^{+}$

Accepted Answer

(D) $[Pt(NH_3)_3(NO_3)]Cl$ and $[Pt(NH_3)_3Cl]Br$

Answer

(A) $[Cr(NH_3)_5Cl]Cl_2$ and $[Cr(NH_3)_4Cl_2]Cl$

Answer

(C) $[CoBr_2Cl_2]^{2-}$ and $[PtBr_2Cl_2]^{2-}$

Question 54

Among P, Q, R and S, the aromatic compound(s) is/are

Accepted Answer

(A) P

Accepted Answer

(B) Q

Accepted Answer

(C) R

Accepted Answer

(D) S

Question 55

Benzene and naphthalene form an ideal solution at room temperature. For this process, the true statement(s) is(are)

Accepted Answer

(B) $\Delta S_{system}$ is positive

Accepted Answer

(C) $\Delta S_{surroundings} = 0$

Accepted Answer

(D) $\Delta H = 0$

Answer

(A) $\Delta G$ is positive

Question 56

The atomic masses of He and Ne are 4 and 20 a.m.u., respectively. The value of the de Broglie wavelength of He gas at – 73$^{\circ}$C is "M" times that of the de Broglie wavelength of Ne at 727$^{\circ}$C. M is

Accepted Answer

5

Question 57

EDTA$^{4-}$ is ethylenediaminetetraacetate ion. The total number of N – Co – O bond angles in $[Co(EDTA)]^{1-}$ complex ion is

Accepted Answer

8

Question 58

The total number of carboxylic acid groups in the product P is

Accepted Answer

2

Question 59

A tetrapeptide has – COOH group on alanine. This produces glycine (Gly), valine (Val), phenyl alanine (Phe) and alanine (Ala), on complete hydrolysis. For this tetrapeptide, the number of possible sequences (primary structures) with – NH$_2$ group attached to a chiral center is

Accepted Answer

4

Question 60

The total number of lone-pairs of electrons in melamine is

Accepted Answer

6

JEE Advanced 2013 Paper 1 Question Paper with Answers

Physics — JEE Advanced 2013 Paper 1

Chemistry — JEE Advanced 2013 Paper 1

Mathematics — JEE Advanced 2013 Paper 1

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Attempt JEE Advanced 2013 Paper 1 under exam timing.