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## JEE Advanced 2016 Paper 1 Offline

Exam Held on Sun May 22 2016 09:00:00 GMT+0000 (Coordinated Universal Time)
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## Chemistry

P is the probability of finding the 1s electron of hydrogen atom in a spherical ...
The compound(s) with TWO lone pairs of electrons on the central atom is(are)
The diffusion coefficient of an ideal gas is proportional to its mean free path ...
One mole of an ideal gas at 300 K in thermal contact with surroundings expands i...
The mole fraction of a solute in a solution is 0.1. At 298 K, molarity of this s...
According to the Arrhenius equation,
A plot of the number of neutrons (N) against the number of protons (P) of stable...
The product(s) of the following reaction sequence is (are) <picture><source medi...
Positive Tollen’s test is observed for
In the following monobromination reaction, the number of possible chiral product...
In neutral or faintly alkaline solution, 8 moles of permanganate anion quantitat...
The possible number of geometrical isomers for the complex [CoL<sub>2</sub>Cl<su...
The reagent(s) that can selectively precipitate S<sup>2-</sup> from a mixture o...
The crystalline form of borax has.
<p>The increasing order of atomic radii of the following group 13 elements is</p...
<p>On complete hydrogenation, natural rubber produces</p>
<p>Among [Ni(CO)<sub>4</sub>], [NiCl<sub>4</sub>]<sup>2$$-$$</sup>, [Co(NH<sub>3...
<p>The correct statements about of the following reaction sequence is (are)</p> ...

## Mathematics

Let $$S = \left\{ {x \in \left( { - \pi ,\pi } \right):x \ne 0, \pm {\pi \over ... Let$$ - {\pi \over 6} &lt; \theta &lt; - {\pi \over {12}}.$$Suppose$${\a...
A debate club consists of 6 girls and 4 boys. A team of 4 members is to be selec...
Let $$m$$ be the smallest positive integer such that the coefficient of $${x^2}... Let RS be the diameter of the circle$${x^2}\, + \,{y^2} = 1$$, where S is the p... The circle$${C_1}:{x^2} + {y^2} = 3,$$with centre at$$O$$, intersects the par... Let$$f:R \to R,\,g:R \to R$$and$$h:R \to R$$be differentiable functions such... In a triangle$$\Delta XYZ$$, let$$x, y, z$$be the lengths of sides opposi... The least value of a$$ \in R$$for which$$4a{x^2} + {1 \over x} \ge 1,$$, for ... A solution curve of the differential equation <br><br>$$\left( {{x^2} + xy + 4x...
The total number of distinct $$x \in \left[ {0,1} \right]$$ for which <br><br>$$... A computer producing factory has only two plants$${T_1}$$and$${T_2}.$$Plant ... Consider a pyramid$$OPQRS$$located in the first octant$$\left( {x \ge 0,y \ge...
<p>Let $$f:(0,\infty ) \to R$$ be a differentiable function such that $$f'(x) = ... <p>Let$$P = \left[ {\matrix{ 3 & { - 1} & { - 2} \cr 2 & 0 & \alpha \...
<p>The total number of distinct x $$\in$$ R for which</p> <p>$$\left| {\matrix{ ... <p>Let$$z = {{ - 1 + \sqrt 3 i} \over 2}$$, where$$i = \sqrt { - 1} $$, and r,... <p>Let$$\alpha$$,$$\beta\in$$R be such that$$\mathop {\lim }\limits_{x ...

## Physics

A length-scale (l) depends on the permittivity ($$\varepsilon$$) of a dielectri...
A uniform wooden stick of mass 1.6 kg and length $$l$$ rests in an inclined mann...
The position vector $$\overrightarrow r$$ of a particle of mass m is given by t...
Consider two solid spheres P and Q each of density 8 gm cm<sup>–3</sup> and diam...
A metal is heated in a furnace where a sensor is kept above the metal surface to...
A parallel beam of light is incident from air at an anglea on the side PQ of a...
In a historical experiment to determine Planck's constant, a metal surface was ...
A water cooler of storage capacity 120 litres can cool water at a constant rate...
A plano-convex lens is made of material of refractive index n. When a small obje...
A conducting loop in the shape of a right angled isosceles triangle of height 10...
Two loudspeakers M and N are located 20m apart and emit sound at frequencies 118...
A transparent slab of thickness d has a refractive index n (z) that increases wi...
Highly excited states for hydrogen-like atoms (also called Rydberg states) with ...
An incandescent bulb has a thin filament of tungsten that is heated to high temp...
A hydrogen atom in its ground state is irradiated by light of wavelength 970$$\m... The isotopes$$_5^{12}B$$having a mass 12.014 u undergoes$$\beta $$-decay to ... An infinite line charge of uniform electric charge density l lies along the axis... Two inductors L<sub>1</sub> (inductance 1mH, internal resistance 3$$\Omega) an...

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