JEE Advanced 2016 Paper 1 Offline

Paper was held on
Sat, May 21, 2016 9:00 PM

## Chemistry

P is the probability of finding the 1s electron of hydrogen atom in a spherical shell of infinitesimal thickness, dr, at

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The compound(s) with TWO lone pairs of electrons on the central atom is(are)

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The diffusion coefficient of an ideal gas is proportional to its mean free path and mean speed. The absolute
temperature

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One mole of an ideal gas at 300 K in thermal contact with surroundings expands isothermally from 1.0 L to
2.0 L against

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The mole fraction of a solute in a solution is 0.1. At 298 K, molarity of this solution is the same as its
molality. Den

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According to the Arrhenius equation,

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A plot of the number of neutrons (N) against the number of protons (P) of stable nuclei exhibits upward
deviation from l

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The product(s) of the following reaction sequence is (are)

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Positive Tollen’s test is observed for

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In the following mono-bromination reaction, the number of possible chiral product(s) is (are)...

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In neutral or faintly alkaline solution, 8 moles of permanganate anion quantitative oxidise thiosulphate anions to produ

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The possible number of geometrical isomers for the complex [CoL2Cl2]-(L= H2NCH2CH2O-) is (are)...

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The reagent(s) that can selectively precipitate S2- from a mixture of S2- and SO42- in aqueous solution is (are) :

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The crystalline form of borax has.

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The increasing order of atomic radii of the following group 13 elements is

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On complete hydrogenation, natural rubber produces

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Among [Ni(CO)4], [NiCl4]2$$-$$, [Co(NH3)4)Cl2]Cl, Na3[CoF6], Na2O2 and CsO2, the total number of paramagnetic compound i

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The correct statements about of the following reaction sequence is (are)
Cumene (C9H12) $$\mathrel{\mathop{\kern0pt\long

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## Mathematics

Let $$S = \left\{ {x \in \left( { - \pi ,\pi } \right):x \ne 0, \pm {\pi \over 2}} \right\}.$$ The sum of all distinct

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Let $$ - {\pi \over 6} < \theta < - {\pi \over {12}}.$$ Suppose $${\alpha _1}$$ and $${\beta_1}$$ are the roo

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A debate club consists of 6 girls and 4 boys. A team of 4 members is to be select from this club including the selection

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Let $$m$$ be the smallest positive integer such that the coefficient of $${x^2}$$ in the expansion of $${\left( {1 + x}

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Let RS be the diameter of the circle $${x^2}\, + \,{y^2} = 1$$, where S is the point (1, 0). Let P be a variable point (

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The circle $${C_1}:{x^2} + {y^2} = 3,$$ with centre at $$O$$, intersects the parabola $${x^2} = 2y$$ at the point $$P$$

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Let $$f:\mathbb{R} \to \mathbb{R},\,g:\mathbb{R} \to \mathbb{R}$$ and $$h:\mathbb{R} \to \mathbb{R}$$ be differentiable

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In a triangle $$\Delta $$$$XYZ$$, let $$x, y, z$$ be the lengths of sides opposite to the angles $$X, Y, Z$$ respectivel

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The least value of a $$ \in R$$ for which $$4a{x^2} + {1 \over x} \ge 1,$$, for all $$x>0$$. is

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A solution curve of the differential equation
$$\left( {{x^2} + xy + 4x + 2y + 4} \right){{dy} \over {dx}} - {y^2} = 0,

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The total number of distinct $$x \in \left[ {0,1} \right]$$ for which $$\int\limits_0^x {{{{t^2}} \over {1 + {t^4}}}} dt

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A computer producing factory has only two plants $${T_1}$$ and $${T_2}.$$ Plant $${T_1}$$ produces $$20$$% and plant $${

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Consider a pyramid $$OPQRS$$ located in the first octant $$\left( {x \ge 0,y \ge 0,z \ge 0} \right)$$ with $$O$$ as orig

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Let $$f:(0,\infty ) \to R$$ be a differentiable function such that $$f'(x) = 2 - {{f(x)} \over x}$$ for all $$x \in (0,\

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Let $$P = \left[ {\matrix{
3 & { - 1} & { - 2} \cr
2 & 0 & \alpha \cr
3 & { - 5} & 0 \cr
} } \right]$$

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The total number of distinct x $$\in$$ R for which
$$\left| {\matrix{
x & {{x^2}} & {1 + {x^3}} \cr
{2x} & {4{x^

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Let $$z = {{ - 1 + \sqrt 3 i} \over 2}$$, where $$i = \sqrt { - 1} $$, and r, s $$\in$$ {1, 2, 3}. Let $$P = \left[ {\ma

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Let $$\alpha$$, $$\beta$$ $$\in$$ R be such that $$\mathop {\lim }\limits_{x \to 0} {{{x^2}\sin (\beta x)} \over {\alpha

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## Physics

A length-scale (l) depends on the permittivity ($$\varepsilon $$) of a dielectric material, Boltzmann constant (kB), the

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A uniform wooden stick of mass 1.6 kg and length $$l$$ rests in an inclined manner on a smooth, vertical wall
of height

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The position vector $$\overrightarrow r $$ of a particle of mass m is given by the following equation
$$$\overrightarrow

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Consider two solid spheres P and Q each of density 8 gm cm–3 and diameters 1 cm and 0.5 cm, respectively. Sphere P is dr

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A metal is heated in a furnace where a sensor is kept above the metal surface to read the power radiated (P)
by the meta

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A parallel beam of light is incident from air at an anglea on the side PQ of a right angled triangular prism of refra

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In a historical experiment to determine Planck's constant, a metal surface was irradiated with light of different wav

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A water cooler of storage capacity 120 litres can cool water at a constant rate of P watts. In a closed circulation sy

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A plano-convex lens is made of material of refractive index n. When a small object is placed 30 cm away in front of the

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A conducting loop in the shape of a right angled isosceles triangle of height 10 cm is kept such that the 90$$^\circ$$ v

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Two loudspeakers M and N are located 20m apart and emit sound at frequencies 118 Hz and 121 Hz, respectively. A car in i

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A transparent slab of thickness d has a refractive index n (z) that increases with z. Here, z is the vertical distance i

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Highly excited states for hydrogen-like atoms (also called Rydberg states) with nuclear charge Ze are defined by their p

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An incandescent bulb has a thin filament of tungsten that is heated to high temperature by passing an electric current.

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A hydrogen atom in its ground state is irradiated by light of wavelength 970$$\mathop A\limits^o $$.Taking hc = 1.237 $

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The isotope $$_5^{12}B$$ having a mass 12.014 u undergoes $$\beta $$-decay to $$_6^{12}C$$. $$_6^{12}C$$ has an excited

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An infinite line charge of uniform electric charge density l lies along the axis of an electrically conducting infinite

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Two inductors L1 (inductance 1mH, internal resistance 3$$\Omega$$) and L2 (inductance 2 mH, internal resistance 4$$\Omeg

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