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

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

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

View Question 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

View Question 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

View Question According to the Arrhenius equation,

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

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

View Question Positive Tollen’s test is observed for

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

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

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

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

View Question The crystalline form of borax has.

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

View Question On complete hydrogenation, natural rubber produces

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

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

View Question ## Mathematics

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

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

View Question 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

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

View Question 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 (

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

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

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

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

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

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

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

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

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

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

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

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

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

View Question ## Physics

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

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

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

View Question 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

View Question 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

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

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

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

View Question 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

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

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

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

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

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

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

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

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

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

View Question