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JEE Advanced 2013 Paper 1 Offline

Exam Held on Sun Jun 02 2013 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The atomic masses of He and Ne are 4 and 20 a.m.u., respectively. The value of t...
The total number of lone-pairs of electrons in melamine is
The standard enthalpies of formation of CO<sub>2</sub>(g), H<sub>2</sub>O(l) and...
The initial rate of hydrolysis of methyl acetate (1M) by a weak acid (HA, 1M) is...
The hyperconjugative stabilities of tert-butyl cation and 2-butene, respectively...
Methylene blue, from its aqueous solution, is adsorbed on activated charcoal at ...
Benzene and naphthalene form an ideal solution at room temperature. For this pro...
Sulphide ores are common for the metals
<p>KI in acetone undergoes S<sub>N</sub>2 reaction with each of P, Q, R and S. T...
<p>The compound that does NOT liberate CO<sub>2</sub>, on treatment with aqueous...
<p>Consider the following complex ions : P, Q and R.</p> <p>$$P = {[Fe{F_6}]^{3 ...
<p>In the reaction, P + Q $$\to$$ R + S, the time taken for 75% reaction of P is...
<p>Concentrated nitric acid, upon long standing, turns yellow-brown due to the f...
<p>The arrangement of X<sup>$$-$$</sup> ions around A<sup>+</sup> ion in solid A...
<p>Upon treatment with ammoniacal H<sub>2</sub>S, the metal ion that precipitate...
<p>The pair(s) of coordination complexes/ions exhibiting the same kind of isomer...
<p>Among P, Q, R and S, the aromatic compound(s) is(are)</p> <p><img src="https:...
<p>The total number of carboxylic acid groups is the product P is _________.</p>...
<p>EDTA<sup>4$$-$$</sup> is ethylenediaminetetraacetate ion. The total number of...
<p>A tetrapeptide has $$-$$COOH group on alanine. This produces glycine (Gly), v...

Mathematics

Let complex numbers $$\alpha \,and\,{1 \over {\overline \alpha }}\,$$ lie on ci...
Let $$f\left( x \right) = x\sin \,\pi x,\,x &gt; 0.$$ Then for all natural numbe...
The number of points in $$\left( { - \infty \,\infty } \right),$$ for which $${x...
The coefficient of three consecutive terms of $${\left( {1 + x} \right)^{n + 5}...
Consider the set of eight vectors $$V = \left\{ {a\,\hat i + b\,\hat j + c\hat k...
Let $${S_n} = {\sum\limits_{k = 1}^{4n} {\left( { - 1} \right)} ^{{{k\left( {k +...
A pack contains n cards numbered from 1 to n. Two consecutive numbered cards are...
For $$a &gt; b &gt; c &gt; 0,$$ the distance between $$(1, 1)$$ and the point of...
A vertical line passing through the point $$(h,0)$$ intersects the ellipse $${{{...
The value of $$\cot \left( {\sum\limits_{n = 1}^{23} {{{\cot }^{ - 1}}} \left( {...
A rectangular sheet of fixed perimeter with sides having their lengths in the ra...
For 3 × 3 matrices M and N, which of the following statement(s) is(are) NOT corr...
The area enclosed by the curves $$y = \sin x + {\mathop{\rm cosx}\nolimits} $$ a...
Let $$f$$ $$:\,\,\left[ {{1 \over 2},1} \right] \to R$$ (the set of all real num...
A curve passes through the point $$\left( {1,{\pi \over 6}} \right)$$. Let the ...
Four persons independently solve a certain problem correctly with probabilities ...
Of the three independent events $${E_1},{E_2}$$ and $${E_3},$$ the probability t...
A line $$l$$ passing through the origin is perpendicular to the lines $$$\,{l_1...
Consider the set of eight vectors <br>$$V = \left\{ {a\widehat i + b\widehat j ...
A pack contains $$n$$ cards numbered from $$1$$ to $$n.$$ Two consecutive number...

Physics

The diameter of a cylinder is measured using a Vernier callipers with no zero er...
The image of an object, formed by a plano-convex lens at a distance of 8 m behin...
The work done on a particle of mass m by a force $$$K\left[ {{x \over {{{\left( ...
A particle of mass 0.2 kg is moving in one dimension under a force that delivers...
A particle of mass m is projected from the ground with an initial speed u<sub>0<...
A bob of mass m, suspended by a string of length l<sub>1</sub> is given a minimu...
A uniform circular disc of mass 50 kg and radius 0.4 m is rotating with an angul...
One end of a horizontal thick copper wire of length 2L and radius 2R is welded t...
A solid sphere of radius R and density $$\rho $$ is attached to one end of a mas...
Two non-reactive monoatomic ideal gases have their atomic masses in the ratio 2 ...
Two non-conducting solid spheres of radii $$R$$ and $$2R,$$ having uniform volum...
In the circuit shown in the figure, there are two parallel plate capacitors each...
<p>A ray of light travelling in the direction $${1 \over 2}\left( {\widehat i + ...
<p>Two rectangular blocks, having identical dimensions, can be arranged in eithe...
<p>A pulse of light of duration 100 ns is absorbed completely by a small object ...
<p>In the Young's double-slit experiment using a monochromatic light of waveleng...
<p>A horizontal stretched string, fixed at two ends, is vibrating in its fifth h...
<p>A particle of mass M and positive charge Q, moving with a constant velocity $...
<p>The work functions of silver and sodium are 4.6 and 2.3 eV, respectively. The...
<p>A freshly prepared sample of a radioisotope of half-life 1386 s has activity ...

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