JEE Advanced 2014 Paper 2 Offline

Paper was held on
Sun, May 25, 2014 2:00 AM

## Chemistry

Assuming 2s – 2p mixing is NOT operative, the paramagnetic species among the following is

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For the process
H2O(l) $$\to$$ H2O(g)
at T = 100oC and 1 atmosphere pressure, the correct choice is

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Hydrogen peroxide in its reaction with KIO4 and NH2OH respectively, is acting as a

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For the elementary reaction M $$\to$$ N, the rate of disappearance of M increases by a factor of 8 upon
doubling the con

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For the identification of $$\beta$$-naphthol using dye test, it is necessary to use

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Isomers of hexane, based on their branching, can be divided into three distinct classes as shown in the figure.
The cor

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The acidic hydrolysis of ether (X) shown below is fastest when

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The major product in the following reaction is

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The product formed in the reaction of SOCl2 with white phosphorus is

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Under ambient conditions, the total number of gases released as products in the final step of the reaction scheme shown

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The value of d in cm (shown in the figure), as estimated from Graham's law, is

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The experimental value of d is found to be smaller than the estimate obtained using Graham's law. This is due to

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The product X is

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The correct statement with respect to product Y is

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M1, Q and R, respectively, are

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Reagent S is

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Match each coordination compound in List I with an appropriate pair of characteristics from List II and select the corre

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Match the orbital overlap figures shown in List I with the description given in List II and select the correct answer us

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Different possible thermal decomposition pathways for peroxyesters are shown below. Match each pathway from List I with

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Match the four starting materials (P, Q, R, S) given in List I with the corresponding reaction schemes (I, II, III, IV)

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## Mathematics

For $$x \in \left( {0,\pi } \right),$$ the equation $$\sin x + 2\sin 2x - \sin 3x = 3$$ has

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Let $${z_k}$$ = $$\cos \left( {{{2k\pi } \over {10}}} \right) + i\,\,\sin \left( {{{2k\pi } \over {10}}} \right);\,k = 1

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The quadratic equation $$p(x)$$ $$ = 0$$ with real coefficients has purely imaginary roots. Then the equation $$p(p(x))

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Coefficient of $${x^{11}}$$ in the expansion of $${\left( {1 + {x^2}} \right)^4}{\left( {1 + {x^3}} \right)^7}{\left( {1

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Six cards and six envelopes are numbered 1, 2, 3, 4, 5, 6 and cards are to be placed in envelopes so that each envelope

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The common tangents to the circle $${x^2} + {y^2} = 2$$ and the parabola $${y^2} = 8x$$ touch the circle at the points $

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Let $$a, r, s, t$$ be nonzero real numbers. Let $$P\,\,\left( {a{t^2},2at} \right),\,\,Q,\,\,\,R\,\,\left( {a{r^2},2ar}

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Let $$a, r, s, t$$ be nonzero real numbers. Let $$P\,\,\left( {a{t^2},2at} \right),\,\,Q,\,\,\,R\,\,\left( {a{r^2},2ar}

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Let $$f:\left[ {0,2} \right] \to R$$ be a function which is continuous on $$\left[ {0,2} \right]$$ and is differentiable

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In a triangle the sum of two sides is $$x$$ and the product of the same sides is $$y$$. If $${x^2} - {c^2} = y$$, where

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The following integral $$\int\limits_{{\pi \over 4}}^{{\pi \over 2}} {{{\left( {2\cos ec\,\,x} \right)}^{17}}dx} $$ is

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List - $$I$$
P.$$\,\,\,\,$$ The number of polynomials $$f(x)$$ with non-negative integer coefficients of degree $$ \le 2

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Given that for each $$a \in \left( {0,1} \right),\,\,\,\mathop {\lim }\limits_{h \to {0^ + }} \,\int\limits_h^{1 - h} {{

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Given that for each $$a \in \left( {0,1} \right),\,\,\,\mathop {\lim }\limits_{h \to {0^ + }} \,\int\limits_h^{1 - h} {{

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The function $$y=f(x)$$ is the solution of the differential equation
$${{dy} \over {dx}} + {{xy} \over {{x^2} - 1}} = {{

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Three boys and two girls stand in a queue. The probability, that the number of boys ahead of every girl is at least one

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Box $$1$$ contains three cards bearing numbers $$1,2,3;$$ box $$2$$ contains five cards bearing numbers $$1,2,3,4,5;$$ a

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Box $$1$$ contains three cards bearing numbers $$1,2,3;$$ box $$2$$ contains five cards bearing numbers $$1,2,3,4,5;$$ a

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Match List $$I$$ with List $$II$$ and select the correct answer using the code given below the lists:
$$\,\,\,\,$$ $$\,\

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Let f1 : R $$ \to $$ R, f2 : [0, $$\infty $$) $$ \to $$ R, f3 : R $$ \to $$ R, and f4 : R $$ \to $$ [0, $$\infty $$) be

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## Physics

A tennis ball is dropped on a horizontal smooth surface. It bounces back to its original position after hitting the surf

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A planet of radius R = $${1 \over {10}} \times $$ (radius of Earth) has the same mass density as Earth. Scientists dig a

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A person in a lift is holding a water jar, which has a small hole at the lower end of its side. When the lift is
at rest

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Parallel rays of light of intensity $$I$$ = 912 Wm–2 are incident on a spherical black body kept in surroundings
of temp

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Charges $$Q,$$ $$2Q$$ and $$4Q$$ are uniformly distributed in three dielectric solid spheres $$1,2$$ and $$3$$ of radii

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If $$\lambda$$Cu is the wavelength of K$$\alpha$$ X-ray line of copper (atomic number 29) and $$\lambda$$Mo is the wavel

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A metal surface is illuminated by light of two different wavelengths 248 nm and 310 nm. The maximum speeds of the photoe

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During an experiment with a metre bridge, the galvanometer shall a null point when the jockey is pressed at 40.0 cm usin

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A wire, which passes through the hole in a small bead, is bent in the form of quarter of a circle. The wire is fixed ver

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A glass capillary tube is of the shape of truncated cone with an apex angle $$\alpha$$ so that its two ends have cross s

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A point source S is placed at the bottom of a transparent block of height 10 mm and refractive index 2.72. It is immerse

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When d $$\approx$$ a but wires are not touching the loop, it is found that the net magnetic field on the axis of the loo

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Consider d >> a, and the loop is rotated about its diameter parallel to the wires by 30$$^\circ$$ from the position show

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Consider the partition to be rigidly fixed so that it does not move. When equilibrium is achieved, the final temperature

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Now consider the partition to be free to move without friction so that the pressure of gases in both compartments is the

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If the piston is pushed at a speed of 5 mm s$$-$$1, the air comes out of the nozzle with a speed of

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If the density of air is $$\rho$$a and that of the liquid $$\rho$$l, then for a given piston speed the rate (volume per

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Four charges Q1, Q2, Q3 and Q4 of same magnitude are fixed along the x axis at x = $$-$$2a, $$-$$a, +a and +2a, respecti

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Four combinations of two thin lenses are given in List I. The radius of curvature of all curved surfaces is r and the re

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A block of mass m1 = 1 kg another mass m2 = 2 kg, are placed together (see figure) on an inclined plane with angle of in

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