JEE Advanced 2013 Paper 1 Offline

Paper was held on
Sat, Jun 1, 2013 9:00 PM

## Chemistry

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 –7

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

View Question The standard enthalpies of formation of CO2(g), H2O(l) and glucose(s) at 25oC are –400 kJ/mol,
–300 kJ/mol and –1300 kJ/

View Question The initial rate of hydrolysis of methyl acetate (1M) by a weak acid (HA, 1M) is 1/100th of that of a strong acid (HX, 1

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

View Question Methylene blue, from its aqueous solution, is adsorbed on activated charcoal at 25oC. For this process, the
correct stat

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

View Question Sulphide ores are common for the metals

View Question KI in acetone undergoes SN2 reaction with each of P, Q, R and S. The rates of the reaction vary as

View Question The compound that does NOT liberate CO2, on treatment with aqueous sodium bicarbonate solution, is

View Question Consider the following complex ions : P, Q and R.
$$P = {[Fe{F_6}]^{3 - }}$$, $$Q = {[V{({H_2}O)_6}]^{2 + }}$$ and $$R =

View Question In the reaction, P + Q $$\to$$ R + S, the time taken for 75% reaction of P is twice the time taken for 50% reaction of P

View Question Concentrated nitric acid, upon long standing, turns yellow-brown due to the formation of

View Question 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

View Question Upon treatment with ammoniacal H2S, the metal ion that precipitates as a sulphide is

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

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

View Question The total number of carboxylic acid groups is the product P is _________.

View Question EDTA4$$-$$ is ethylenediaminetetraacetate ion. The total number of N$$-$$Co$$-$$O bond angles in [Co(EDTA)]1$$-$$ comple

View Question A tetrapeptide has $$-$$COOH group on alanine. This produces glycine (Gly), valine (Val), phenyl alanine (Phe) and alani

View Question ## Mathematics

Let complex numbers $$\alpha \,and\,{1 \over {\overline \alpha }}\,$$ lie on circles $${\left( {x - {x_0}} \right)^2} +

View Question Let $$f\left( x \right) = x\sin \,\pi x,\,x > 0.$$ Then for all natural numbers $$n,\,f'\left( x \right)$$ vanishes a

View Question The number of points in $$\left( { - \infty \,\infty } \right),$$ for which $${x^2} - x\sin x - \cos x = 0,$$ is

View Question The coefficient of three consecutive terms of $${\left( {1 + x} \right)^{n + 5}}$$ are in the ratio $$5:10:14.$$ Then $

View Question Consider the set of eight vectors $$V = \left\{ {a\,\hat i + b\,\hat j + c\hat k:a,\,b,\,c\, \in \left\{ { - 1,\,1} \rig

View Question Let $${S_n} = {\sum\limits_{k = 1}^{4n} {\left( { - 1} \right)} ^{{{k\left( {k + 1} \right)} \over 2}}}{k^2}.$$ Then $${

View Question A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are removed from the pack and the sum of th

View Question For $$a > b > c > 0,$$ the distance between $$(1, 1)$$ and the point of intersection of the lines $$ax + by + c

View Question A vertical line passing through the point $$(h,0)$$ intersects the ellipse $${{{x^2}} \over 4} + {{{y^2}} \over 3} = 1$$

View Question The value of $$\cot \left( {\sum\limits_{n = 1}^{23} {{{\cot }^{ - 1}}} \left( {1 + \sum\limits_{k = 1}^n {2k} } \right)

View Question A rectangular sheet of fixed perimeter with sides having their lengths in the ratio $$8:15$$ is converted into an open r

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

View Question The area enclosed by the curves $$y = \sin x + {\mathop{\rm cosx}\nolimits} $$ and $$y = \left| {\cos x - \sin x} \right

View Question Let $$f$$ $$:\,\,\left[ {{1 \over 2},1} \right] \to R$$ (the set of all real number) be a positive,
non-constant and di

View Question A curve passes through the point $$\left( {1,{\pi \over 6}} \right)$$. Let the slope of
the curve at each point $$(x,y

View Question Four persons independently solve a certain problem correctly with probabilities $${1 \over 2},{3 \over 4},{1 \over 4},{1

View Question Of the three independent events $${E_1},{E_2}$$ and $${E_3},$$ the probability that only $${E_1}$$ occurs is $$\alpha ,$

View Question A line $$l$$ passing through the origin is perpendicular to the lines
$$$\,{l_1}:\left( {3 + t} \right)\widehat i + \le

View Question Consider the set of eight vectors
$$V = \left\{ {a\widehat i + b\widehat j + c\widehat k:a,b.c \in \left\{ { - 1,1} \ri

View Question A pack contains $$n$$ cards numbered from $$1$$ to $$n.$$ Two consecutive numbered cards are removed from the pack and t

View Question ## Physics

The diameter of a cylinder is measured using a Vernier callipers with no zero error. It is found that the zero
of the Ve

View Question 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

View Question The work done on a particle of mass m by a force
$$$K\left[ {{x \over {{{\left( {{x^2} + {y^2}} \right)}^{3/2}}}}\wideha

View Question 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.

View Question A particle of mass m is projected from the ground with an initial speed u0 at an angle $$\alpha $$ with the horizontal.

View Question A bob of mass m, suspended by a string of length l1 is given a minimum velocity required to complete a full circle in th

View Question 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

View Question One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another
horizontal thin copp

View Question A solid sphere of radius R and density $$\rho $$ is attached to one end of a mass-less spring of force constant k.
The o

View Question Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 : 3. The ratio of their
partial pressure

View Question Two non-conducting solid spheres of radii $$R$$ and $$2R,$$ having uniform volume charge densities $${\rho _1}$$ and $${

View Question In the circuit shown in the figure, there are two parallel plate capacitors each of capacitance $$C.$$ The switch $${S_1

View Question A ray of light travelling in the direction $${1 \over 2}\left( {\widehat i + \sqrt 3 \widehat j} \right)$$ is incident o

View Question Two rectangular blocks, having identical dimensions, can be arranged in either configuration-I or configuration-II as sh

View Question A pulse of light of duration 100 ns is absorbed completely by a small object initially at rest. Power of the pulse is 30

View Question In the Young's double-slit experiment using a monochromatic light of wavelength $$\lambda$$, the path difference (in ter

View Question A horizontal stretched string, fixed at two ends, is vibrating in its fifth harmonic according to the equation
y(x, t) =

View Question A particle of mass M and positive charge Q, moving with a constant velocity $${\overrightarrow u _1} = 4\widehat i$$ ms$

View Question The work functions of silver and sodium are 4.6 and 2.3 eV, respectively. The ratio of the slope of the stopping potenti

View Question A freshly prepared sample of a radioisotope of half-life 1386 s has activity 103 disintegrations per second. Given that

View Question