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JEE Advanced 2014 Paper 1 Offline

Exam Held on Sun May 25 2014 09:00:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

If the value of Avogadro number is 6.023 $$\times$$ 10<sup>23</sup> mol<sup>-1</...
In an atom, the total number of electrons having quantum numbers n = 4, |m<sub>l...
A list of species having the formula XZ<sub>4</sub> is given below.<br><br> XeF<...
MX<sub>2</sub> dissociates in M<sup>2+</sup> and X<sup>-</sup> ions in an aqueou...
A compound H<sub>2</sub>X with molar weight of 80g is dissolved in a solvent hav...
In a galvanic cell, the salt bridge
Upon heating with Cu<sub>2</sub>S, the reagent(s) that give copper metal is/are
For the reaction,<br/><br/>$${I^ - } + ClO_3^ - + {H_2}S{O_4} \to C{l^ - } + HS...
The pair(s) of reagents that yield paramagnetic species is/are
In the reaction shown below, the major product(s) formed is/are<br/><br/> <img s...
Hydrogen bonding plays a central role in the following phenomena
The reactivity of compound Z with different halogens under appropriate condition...
The correct combination of names for isomeric alcohols with molecular formula C<...
<img src="https://app-content.cdn.examgoal.net/fly/@width/image/1l1awkhhr/4b17f2...
The correct statement(s) for orthoboric acid is/are
The total number of distinct naturally occurring amino acids obtained by complet...
Consider the following list of reagents, acidified K<sub>2</sub>Cr<sub>2</sub>O<...
The total number(s) of stable conformers with non-zero dipole moment for the fol...
Among PbS, CuS, HgS, MnS, Ag<sub>2</sub>S, NiS, CoS, Bi<sub>2</sub>S<sub>3</sub>...
Consider all possible isomeric ketones including stereoisomers of MW = 100. All ...

Mathematics

Let $${n_1}\, &lt; {n_2}\, &lt; \,{n_3}\, &lt; \,{n_4}\, &lt; {n_5}$$ be positiv...
Let $${n \ge 2}$$ be an integer. Take n distinct points on a circle and join eac...
Let a, b, c be positive integers such that $${b \over a}$$ is an integer. If a, ...
For a point $$P$$ in the plane, Let $${d_1}\left( P \right)$$ and $${d_2}\left( ...
A circle S passes through the point (0, 1) and is orthogonal to the circles $${(...
Let $$f:\left( {0,\infty } \right) \to R$$ be given by $$f\left( x \right) = \in...
The slope of the tangent to the curve $${\left( {y - {x^5}} \right)^2} = x{\left...
The value of $$\int\limits_0^1 {4{x^3}\left\{ {{{{d^2}} \over {d{x^2}}}{{\left( ...
From a point $$P\left( {\lambda ,\lambda ,\lambda } \right),$$ perpendicular $$P...
Let $$\overrightarrow x ,\overrightarrow y $$ and $$\overrightarrow z $$ be thre...
Let $$\overrightarrow a \,\,,\,\,\overrightarrow b $$ and $$\overrightarrow c $$...
Let $$f:(a,b) \to [1,\infty )$$ be a continuous function and g : R $$\to$$ R be ...
For every pair of continuous function f, g : [0, 1] $$\to$$ R such that max {f(x...
Let M be a 2 $$\times$$ 2 symmetric matrix with integer entries. Then, M is inve...
Let M and N be two 3 $$\times$$ 3 matrices such that MN = NM. Further, if M $$\n...
Let $$f:\left( { - {\pi \over 2},{\pi \over 2}} \right) \to R$$ be given by $$...
Let a $$\in$$ R and f : R $$\to$$ R be given by f(x) = x<sup>5</sup> $$-$$ 5x + ...
Let f : [0, 4$$\pi$$] $$\to$$ [0, $$\pi$$] be defined by f(x) = cos<sup>$$-$$1</...
The largest value of the non-negative integer a for which $$\mathop {\lim }\limi...
Let f : R $$\to$$ R and g : R $$\to$$ R be respectively given by f(x) = | x | + ...

Physics

To find the distance d over which a signal can be seen clearly in foggy conditio...
During Searle's experiment, zero of the Vernier scale lies between 3.20 $$ \time...
Airplanes A and B are flying with constant velocity in the same vertical plane a...
A rocket is moving in a gravity free space with a constant acceleration of 2 ms<...
Consider an elliptically shaped rail PQ in the vertical plane with OP = 3 m and ...
Let $${E_1}\left( r \right),{E_2}\left( r \right)$$ and $${E_3}\left( r \right)$...
A parallel plate capacitor has a dielectric slab of dielectric constant $$K$$ be...
At time t = 0, terminal A in the circuit shown in the figure is connected to B b...
A light source, width emits two wavelengths $$\lambda$$<sub>1</sub> = 400 nm and...
One end of a taut string of length 3 m along the x-axis is fixed at x = 0. The s...
A student is performing an experiment using a resonance column and a tuning fork...
Heater of an electric kettle is made of a wire of length L and diameter d. It ta...
In the figure, a ladder of mass m is shown leaning against a wall. It is in stat...
<img src="https://app-content.cdn.examgoal.net/fly/@width/image/1ky4odbpq/e6daa1...
Two ideal batteries of emf V<sub>1</sub> and V<sub>2</sub> and three resistances...
A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on ...
Two parallel wires in the plane of the paper are distance X<sub>0</sub> apart. A...
A galvanometer gives full scale deflection with 0.006 A current. By connecting i...
<img src="https://app-content.cdn.examgoal.net/fly/@width/image/1ky4oo1zl/622ebd...
A thermodynamic system is taken from an initial state i with internal energy U<s...

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