JEE Advanced 2015 Paper 2 Offline
Paper was held on Sun, May 24, 2015 2:00 AM
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Chemistry

Paragraph When 100 mL of 1.0 M HCl was mixed with 100 mL of 1.0 M NaOH in an insulated beaker at constant pressure, a te
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Paragraph When 100 mL of 1.0 M KCl was mixed with 100 mL of 1.0 M NaOH in an insulated beaker at constant pressure, a te
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When O2 is adsorbed on a metallic surface, electron transfer occurs from the metal to O2. The true statement(s) regardin
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The molar conductivity of a solution of a weak acid HX (0.01 M) is 10 times smaller than the molar conductivity of a sol
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A closed vessel with rigid walls contains 1 mol of $${}_{92}^{238}U$$ and 1 mol of air at 298 K. Considering complete de
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In dilute aqueous H2SO4, the complex diaquodioxalatoferrate(II) is oxidized by $$MnO_4^-$$. For this reaction, the ratio
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The number of hydroxyl group(s) in Q is ___________.
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Among the following the number of reactions that produces benzaldehyde is _________.
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In the complex acetylbromidodicarbonylbis(triethylphosphine) iron(II), the number of Fe-C bond(s) is ___________.
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Among the complex ions, [Co(NH2-CH2-CH2-NH2)2Cl2]+, [CrCl2(C2O4)2]3$$-$$, [Fe(H2O)4)OH)2]+, [Fe(NH3)2(CN)4]$$-$$, [Co(NH
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Three moles of B2H6 are completely reacted with methanol. The number of moles of boron containing product formed is ____
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In the following reactions, the product S is
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The major product U in the following reactions is
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In the following reactions, the major product W is
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The correct statements regarding (i) HClO, (ii) HClO2, (iii) HClO3 and (iv) HClO4 is (are)
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The pairs of ions where BOTH the ions are precipitated upon passing H2S gas in presence of dilute HCl, is(are)
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Under hydrolytic conditions, the compounds used for preparation of linear polymer and for chain termination, respectivel
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One mole of a monoatomic real gas satisfies the equation p(V $$-$$ b) = RT where b is a constant. The relationship of in
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In the following reactions Compound X is
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In the following reactions The major compound Y is
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Mathematics

For any integer k, let $${a_k} = \cos \left( {{{k\pi } \over 7}} \right) + i\,\,\sin \left( {{{k\pi } \over 7}} \right)$
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Let $$S$$ be the set of all non-zero real numbers $$\alpha $$ such that the quadratic equation $$\alpha {x^2} - x + \alp
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Suppose that all the terms of an arithmetic progression (A.P) are natural numbers. If the ratio of the sum of the first
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The coefficient of $${x^9}$$ in the expansion of (1 + x) (1 + $${x^2)}$$ (1 + $${x^3}$$) ....$$(1 + {x^{100}})$$ is
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Let $${E_1}$$ and $${E_2}$$ be two ellipses whose centres are at the origin. The major axes of $${E_1}$$ and $${E_2}$$ l
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Consider the hyperbola $$H:{x^2} - {y^2} = 1$$ and a circle $$S$$ with center $$N\left( {{x_2},0} \right)$$. Suppose tha
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Suppose that the foci of the ellipse $${{{x^2}} \over 9} + {{{y^2}} \over 5} = 1$$ are $$\left( {{f_1},0} \right)$$ and
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If $$\alpha $$ $$ = 3{\sin ^{ - 1}}\left( {{6 \over {11}}} \right)$$ and $$\beta = 3{\cos ^{ - 1}}\left( {{4 \over 9}}
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Let $$f, g :$$ $$\left[ { - 1,2} \right] \to R$$ be continuous functions which are twice differentiable on the interval
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Let $$f\left( x \right) = 7{\tan ^8}x + 7{\tan ^6}x - 3{\tan ^4}x - 3{\tan ^2}x$$ for all $$x \in \left( { - {\pi \over
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The option(s) with the values of a and $$L$$ that satisfy the following equation is (are) $$${{\int\limits_0^{4\pi } {{
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Let $$f'\left( x \right) = {{192{x^3}} \over {2 + {{\sin }^4}\,\pi x}}$$ for all $$x \in R\,\,$$ with $$f\left( {{1 \ove
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Let $$F:R \to R$$ be a thrice differentiable function. Suppose that $$F\left( 1 \right) = 0,F\left( 3 \right) = - 4$$
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Let $$F:R \to R$$ be a thrice differentiable function. Suppose that $$F\left( 1 \right) = 0,F\left( 3 \right) = - 4$$
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If $$\alpha = \int\limits_0^1 {\left( {{e^{9x + 3{{\tan }^{ - 1}}x}}} \right)\left( {{{12 + 9{x^2}} \over {1 + {x^2}}}}
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Let $$f:R \to R$$ be a continuous odd function, which vanishes exactly at one point and $$f\left( 1 \right) = {1 \over {
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Let $${n_1}$$ and $${n_2}$$ be the number of red and black balls, respectively, in box $${\rm I}$$. Let $${n_3}$$ and $
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Let $${n_1}$$ and $${n_2}$$ be the number of red and black balls, respectively, in box $${\rm I}$$. Let $${n_3}$$ and $
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Suppose that $$\overrightarrow p ,\overrightarrow q $$ and $$\overrightarrow r $$ are three non-coplanar vectors in $${R
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Let m and n be two positive integers greater than 1. If $$$\mathop {\lim }\limits_{\alpha \to 0} \left( {{{{e^{\cos \le
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Physics

In terms of potential difference V, electric current I, permittivity $${\varepsilon _0}$$, permeability $${\mu _0}$$ and
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The energy of a system as a function of time t is given as E(t) = $${A^2}\exp \left( { - \alpha t} \right)$$, where $$\a
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The densities of two solid spheres A and B of the same radii R vary with radial distance r as $${\rho _A}(r) = k\left( {
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A spherical body of radius R consists of a fluid of constant density and is in equilibrium under its own gravity. If P(r
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Consider a uniform spherical charge distribution of radius $${R_1}$$ centred at the origin $$O.$$ In this distribution,
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Four harmonic waves of equal frequencies and equal intensities I0 have phase angles 0, $${\pi \over 3},{{2\pi } \over 3
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For a radioactive material, its activity A and rate of change of its activity R are defined as $$A = - {{dN} \over {dt}
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A monochromatic beam of light is incident at 60$$^\circ$$ on one face of an equilateral prism of refractive index n and
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In the following circuit, the current through the resistor R(=2$$\Omega$$) is I amperes. The value of I is :
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An electron in an excited state of Li2+ ion has angular momentum $${{3h} \over {2\pi }}$$. The de Broglie wavelength of
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A large spherical mass M is fixed at one position and two identical masses m are kept on a line passing through the cent
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In plotting stress versus strain curves for two materials P and Q, a student by mistake puts strain on the y-axis and st
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A parallel plate capacitor having plates of area S and plate separation d, has capacitance C1 in air. When two dielectri
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An ideal monoatomic gas is confined in a horizontal cylinder by a spring loaded piston (as shown in the figure). Initial
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A fission reaction is given by $$_{92}^{236}U \to _{54}^{140}Xe + _{38}^{94}Sr + x + y$$, where x and y are two particle
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Two spheres P and Q for equal radii have densities $$\rho$$1 and $$\rho$$2, respectively. The spheres are connected by a
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For two structures namely S1 with n1 = $${{\sqrt {45} } \over 4}$$ and n2 = $${3 \over 2}$$, and S2 with n1 = $${8 \over
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If two structures of same cross-sectional area, but different numeral apertures NA1 and NA2 (NA2 < NA1) are joined lo
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Consider two different metallic strips (1 and 2) of the same material. Their lengths are the same, widths are w1 and w2
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Consider two different metallic strips (1 and 2) of same dimensions (length l, width w and thickness d) with carrier den
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