JEE Advanced 2014 Paper 1 Offline

Paper was held on
Sat, May 24, 2014 9:00 PM

## Chemistry

If the value of Avogadro number is 6.023 $$\times$$ 1023 mol-1 and the value of Boltzmann constant is 1.380 $$\times$$ 1

View Question In an atom, the total number of electrons having quantum numbers n = 4, |ml| = 1 and ms = –1/2 is

View Question A list of species having the formula XZ4 is given below.
XeF4, SF4 ,SiF4, $$BF_4^-$$, $$BrF_4^-$$, [Cu(NH3)4]2+, [FeCl4]

View Question MX2 dissociates in M2+ and X- ions in an aqueous solution, with a degree of dissociation ($$\alpha$$) of 0.5. The
ratio

View Question A compound H2X with molar weight of 80g is dissolved in a solvent having density of 0.4 gml–1 . Assuming no change in vo

View Question In a galvanic cell, the salt bridge

View Question Upon heating with Cu2S, the reagent(s) that give copper metal is/are

View Question For the reaction,$${I^ - } + ClO_3^ - + {H_2}S{O_4} \to C{l^ - } + HSO_4^ - + {I_2}$$the correct statement(s) in the b

View Question The pair(s) of reagents that yield paramagnetic species is/are

View Question In the reaction shown below, the major product(s) formed is/are

View Question Hydrogen bonding plays a central role in the following phenomena

View Question The reactivity of compound Z with different halogens under appropriate conditions is given belowThe observed pattern of

View Question The correct combination of names for isomeric alcohols with molecular formula C4H10O is/are

View Question An ideal gas in thermally insulated vessel at internal pressure = p1, volume = V1 and absolute temperature = T1 expands

View Question The correct statement(s) for orthoboric acid is/are

View Question The total number of distinct naturally occurring amino acids obtained by complete acidic hydrolysis of the peptide shown

View Question Consider the following list of reagents, acidified K2Cr2O7, alkaline KMnO4, CuSO4, H2O2, Cl2, O3, FeCl3, HNO3 and Na2S2O

View Question The total number(s) of stable conformers with non-zero dipole moment for the following compound is(are)

View Question Among PbS, CuS, HgS, MnS, Ag2S, NiS, CoS, Bi2S3 and SnS2 the total number of black coloured sulphides is

View Question Consider all possible isomeric ketones including stereoisomers of MW = 100. All these isomers are independently reacted

View Question ## Mathematics

Let $${n \ge 2}$$ be an integer. Take n distinct points on a circle and join each pair of points by a line segment. Colo

View Question Let $${n_1}\, < {n_2}\, < \,{n_3}\, < \,{n_4}\, < {n_5}$$ be positive integers such that $${n_1}\, + {n_2}\,

View Question Let a, b, c be positive integers such that $${b \over a}$$ is an integer. If a, b, c are in geometric progression and th

View Question For a point $$P$$ in the plane, Let $${d_1}\left( P \right)$$ and $${d_2}\left( P \right)$$ be the distance of the point

View Question A circle S passes through the point (0, 1) and is orthogonal to the circles $${(x - 1)^2}\, + \,{y^2} = 16\,\,and\,\,{x^

View Question Let $$f:\left( {0,\infty } \right) \to R$$ be given by $$f\left( x \right) $$= $$\int\limits_{{1 \over x}}^x {{{{e^{ - \

View Question The slope of the tangent to the curve $${\left( {y - {x^5}} \right)^2} = x{\left( {1 + {x^2}} \right)^2}$$ at the point

View Question The value of $$\int\limits_0^1 {4{x^3}\left\{ {{{{d^2}} \over {d{x^2}}}{{\left( {1 - {x^2}} \right)}^5}} \right\}dx} $$

View Question From a point $$P\left( {\lambda ,\lambda ,\lambda } \right),$$ perpendicular $$PQ$$ and $$PR$$ are drawn respectively on

View Question Let $$\overrightarrow x ,\overrightarrow y $$ and $$\overrightarrow z $$ be three vectors each of magnitude $$\sqrt 2 $$

View Question Let $$\overrightarrow a \,\,,\,\,\overrightarrow b $$ and $$\overrightarrow c $$ be three non-coplanar unit vectors such

View Question Let $$f:(a,b) \to [1,\infty )$$ be a continuous function and g : R $$\to$$ R be defined as $$g(x) = \left\{ {\matrix{

View Question For every pair of continuous function f, g : [0, 1] $$\to$$ R such that max {f(x) : x $$\in$$ [0, 1]} = max {g(x) : x $$

View Question Let M be a 2 $$\times$$ 2 symmetric matrix with integer entries. Then, M is invertible, if

View Question Let M and N be two 3 $$\times$$ 3 matrices such that MN = NM. Further, if M $$\ne$$ N2 and M2 = N4, then

View Question Let $$f:\left( { - {\pi \over 2},{\pi \over 2}} \right) \to R$$ be given by $$f(x) = {[\log (\sec x + \tan x)]^3}$$. T

View Question Let a $$\in$$ R and f : R $$\to$$ R be given by f(x) = x5 $$-$$ 5x + a. Then,

View Question Let f : [0, 4$$\pi$$] $$\to$$ [0, $$\pi$$] be defined by f(x) = cos$$-$$1 (cos x). The number of points x $$\in$$ [0, 4$

View Question The largest value of the non-negative integer a for which $$\mathop {\lim }\limits_{x \to 1} {\left\{ {{{ - ax + \sin (x

View Question Let f : R $$\to$$ R and g : R $$\to$$ R be respectively given by f(x) = | x | + 1 and g(x) = x2 + 1. Define h : R $$\to$

View Question ## Physics

During Searle's experiment, zero of the Vernier scale lies between 3.20 $$ \times $$ 10-2 m and 3.25 $$ \times $$ 10-2 m

View Question To find the distance d over which a signal can be seen clearly in foggy conditions, a railways engineer uses
dimensional

View Question Airplanes A and B are flying with constant velocity in the same vertical plane at angles $$30^\circ $$ and $$60^\circ $$

View Question A rocket is moving in a gravity free space with a constant
acceleration of 2 ms–2 along + x direction (see figure). The

View Question Consider an elliptically shaped rail PQ in the vertical plane with
OP = 3 m and OQ = 4 m. A block of mass 1 kg is pulled

View Question Let $${E_1}\left( r \right),{E_2}\left( r \right)$$ and $${E_3}\left( r \right)$$ be the respective electric field at a

View Question A parallel plate capacitor has a dielectric slab of dielectric constant $$K$$ between its plates that covers $$1/3$$ of

View Question At time t = 0, terminal A in the circuit shown in the figure is connected to B by a key and an alternating current I(t)

View Question A light source, width emits two wavelengths $$\lambda$$1 = 400 nm and $$\lambda$$2 = 600 nm, is used in a Young's double

View Question One end of a taut string of length 3 m along the x-axis is fixed at x = 0. The speed of the waves in the string is 100 m

View Question A student is performing an experiment using a resonance column and a tuning fork of frequency 244 s$$-$$1. He is told th

View Question Heater of an electric kettle is made of a wire of length L and diameter d. It takes 4 minutes to raise the temperature o

View Question In the figure, a ladder of mass m is shown leaning against a wall. It is in static equilibrium making an angle $$\theta$

View Question A transparent thin film of uniform thickness and refractive index n1 = 1.4 is coated on the convex spherical surface of

View Question Two ideal batteries of emf V1 and V2 and three resistances R1, R2 and R3 are connected as shown in the figure. The curre

View Question A uniform circular disc of mass 1.5 kg and radius 0.5 m is initially at rest on a horizontal frictionless surface. Three

View Question Two parallel wires in the plane of the paper are distance X0 apart. A point charge is moving with speed u between the wi

View Question A galvanometer gives full scale deflection with 0.006 A current. By connecting it to a 4990 $$\Omega$$ resistance, it ca

View Question A horizontal circular platform of radius 0.5 m and mass 0.45 kg is free to rotate about its axis. Two massless spring t

View Question A thermodynamic system is taken from an initial state i with internal energy Ui = 100 J to the final state f along two d

View Question