JEE Main 2017 (Online) 8th April Morning Slot

Paper was held on
Sat, Apr 8, 2017 3:30 AM

## Chemistry

Among the following, correct statement is :

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Excess of NaOH (aq) was added to 100 mL of FeCl3 (aq) resulting into 2.14 g of Fe(OH)3 . The molarity of FeCl3 (aq) is

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Among the following, the incorrect statement is :

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For a reaction, A(g) $$ \to $$ A($$\ell $$); $$\Delta $$H= $$-$$ 3RT.
The correct statement for the reaction is :

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If the shortest wavelength in Lyman series of hydrogen atom is A, then the longestwavelength in Paschen series of He+ is

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What is the standard reduction potential (Eo) for Fe3+ $$ \to $$ Fe ?
Given that :
Fe2+ + 2e$$-$$ $$ \to $$ Fe; $$E_{F{

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5 g of Na2SO4 was dissolved in x g of H2O. The change in freezing point was found to be
3.82oC. If Na2SO4 is 81.5% io

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Additin of sodium hydroxide solution to a weak acid (HA)results in a buffer of pH 6. If ionition constant of HA is 10$$-

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The rate of a reaction A doubles on increasing the temperature from 300 to 310 K. By how much, the temperature of reacti

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The enthalpy change on freezing of 1 mol of water at 5oC to ice at −5oC is :
(Given $$\Delta $$fusH = 6 kJ mol$$-$$1 at

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Which of the following is paramagnetic ?

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The pair of compounds having metals in their highest oxidation state is :

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sp3d2 hybridization is not displayed by :

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Identify the pollutant gases largely responsible for the discoloured and
lustreless nature of marble of the Taj Mahal.

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In which of the following reactions, hydrogen peroxide acts as an oxidizing
agent ?

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Consider the following ionization enthalpies of two elements 'A' and 'B' .
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Consider the following standard electrode potentials (Eo in volts) in aqueous solution :
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A metal ‘M’ reacts with nitrogen gas to afford ‘M3N’. ‘M3N’ on heating at high temperature gives back ‘M’ and on
reactio

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The number of S = O and S − OH bonds present in peroxodisulphuric acid and pyrosulphuric acid respectively are :

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A mixture containing the following four compounds is extracted with $$1M$$ $$HCl.$$ The compound that goes to aqueous la

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Which of the following statements is not true about partition chromatography?

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Among the following, the essential amino acid is :

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The reason for “drug induced poisoning” is :

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A solution containing a group-IV cation gives a precipitate on passing H2S. A solution of this precipitate in dil.HCl pr

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Which of the following compounds will not undergo Friedel Craft’s reaction with benzene ?

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The major product expected from the following reaction is :

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The major product of the following reaction is :

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The major product of the following reaction is :

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The IUPAC name of the following compound is :

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The major product of the following reaction is :

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## Mathematics

Let z$$ \in $$C, the set of complex numbers. Then the equation, 2|z + 3i| $$-$$ |z $$-$$ i| = 0 represents :

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Let f(x) = 210.x + 1 and g(x)=310.x $$-$$ 1. If (fog) (x) = x, then x is equal to :

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If all the words, with or without meaning, are written using the letters of the word QUEEN and are arranged as in Englis

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If the arithmetic mean of two numbers a and b, a > b > 0, is five times their geometric mean, then $${{a + b} \ov

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Let p(x) be a quadratic polynomial such that p(0)=1. If p(x) leaves remainder 4 when divided by x$$-$$ 1 and it leaves r

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Let A be any 3 $$ \times $$ 3 invertible matrix. Then which one of the following is not always true ?

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If (27)999 is divided by 7, then the remainder is :

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The number of real values of $$\lambda $$ for which the system of linear equations
2x + 4y $$-$$ $$\lambda $$z = 0
4x +

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If the sum of the first n terms of the series $$\,\sqrt 3 + \sqrt {75} + \sqrt {243} + \sqrt {507} + ......$$ is $$

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The tangent at the point (2, $$-$$2) to the curve, x2y2 $$-$$ 2x = 4(1 $$-$$ y) does not pass through the point :

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$$\mathop {\lim }\limits_{x \to 3} $$ $${{\sqrt {3x} - 3} \over {\sqrt {2x - 4} - \sqrt 2 }}$$ is equal to :

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The integral
$$\int {\sqrt {1 + 2\cot x(\cos ecx + \cot x)\,} \,\,dx} $$
$$\left( {0 < x < {\pi \over 2}} \right

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If a point P has co-ordinates (0, $$-$$2) and Q is any point on the circle, x2 + y2 $$-$$ 5x $$-$$ y + 5 = 0, then the

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If y = $${\left[ {x + \sqrt {{x^2} - 1} } \right]^{15}} + {\left[ {x - \sqrt {{x^2} - 1} } \right]^{15}},$$
then (x2 $$

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The curve satisfying the differential equation, ydx $$-$$(x + 3y2)dy = 0 and passing through the point (1, 1), also pas

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The locus of the point of intersection of the straight lines,
tx $$-$$ 2y $$-$$ 3t = 0
x $$-$$ 2ty + 3 = 0 (t $$ \in $

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The area (in sq. units) of the smaller portion enclosed between the curves, x2 + y2 = 4 and y2 = 3x, is :

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The integral $$\int_{{\pi \over {12}}}^{{\pi \over 4}} {\,\,{{8\cos 2x} \over {{{\left( {\tan x + \cot x} \right)}^3}}

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If two parallel chords of a circle, having diameter 4units, lie on the opposite sides of the center and subtend angles $

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If the common tangents to the parabola, x2 = 4y and the circle, x2 + y2 = 4 intersect at the point P, then the distance

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Consider an ellipse, whose center is at the origin and its major axis is along the x-axis. If its eccentricity is $${3 \

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The coordinates of the foot of the perpendicular from the point (1, $$-$$2, 1) on the plane containing the lines, $${{x

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The area (in sq. units) of the parallelogram whose diagonals are along the vectors $$8\widehat i - 6\widehat j$$ and $$3

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The mean age of 25 teachers in a school is 40 years. A teacher retires at the age of 60 years and a new teacher is appo

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The line of intersection of the planes $$\overrightarrow r .\left( {3\widehat i - \widehat j + \widehat k} \right) = 1\,

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Three persons P, Q and R independently try to hit a target. I the probabilities of their hitting the target are $${3 \ov

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An unbiased coin is tossed eight times. The probability of obtaining at least one head and at least one tail is :

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If
$$S = \left\{ {x \in \left[ {0,2\pi } \right]:\left| {\matrix{
0 & {\cos x} & { - \sin x} \cr
{\sin

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The value of tan-1 $$\left[ {{{\sqrt {1 + {x^2}} + \sqrt {1 - {x^2}} } \over {\sqrt {1 + {x^2}} - \sqrt {1 - {x^2}} }

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The proposition $$\left( { \sim p} \right) \vee \left( {p \wedge \sim q} \right)$$ is equivalent to :

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## Physics

Time (T), velocity (C) and angular momentum (h) are chosen as fundamentalquantities instead of mass, length and time. In

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Which graph corresponds to an object moving with a constant negative
acceleration and a positive velocity ?

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A 1 kg block attached to a spring vibrates with a frequency of 1 Hz on a frictionless horizontal table. Two springs iden

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An object is dropped from a height h from the ground. Every time it hits the ground it looses 50% of its kinetic energy.

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In an experiment, a sphere of aluminium of mass 0.20 kg is heated upto 150oC. Immediately, it is put into water of volum

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Moment of inertia of an equilateral triangular lamina ABC, about the axis
passing through its centre O and perpendicular

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A compressive force, F is applied at the two ends of a long thin steel rod. It is heated, simultaneously, such that its

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An engine operates by taking n moles of an ideal gas through the cycle ABCDA shown in figure. The thermal efficiency of

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An ideal gas has molecules with 5 degrees of freedom. The ratio of specific heats at constant pressure (Cp ) and at cons

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The ratio of maximum acceleration to maximum velocity in a simple harmonic motion is 10 s−1 . At, t = 0 the displacement

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Two wires W1 and W2 have the same radius r and respective densities $$\rho $$1 and $$\rho $$2 such that ρ2 = 4$$\rho

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There is a uniform electrostatic field in a region. The potential at various points on a small sphere centred at $$P,$$

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The energy stored in the electric field produced by a metal sphere is 4.5 J. If the sphere contains 4 $$\mu $$C charge,

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In a certain region static electric and magnetic fields exist. The magnetic field is given by $$\overrightarrow B = {B_

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A magnetic dipole in a constant magnetic field has :

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In a physical balance working on the principle of moments, when 5 mg weight is placed on the left pan, the beam becomes

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A potentiometer PQ is set up to compare two resistances as shown in the figure. The ammeter A in the circuit reads 1.0 A

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A uniform disc of radius R and mass M is free to rotate only about its axis. A string is wrapped over its rim and a body

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A small circular loop of wire of radius a is located at the centre of a much larger circular wire loop of radius b. The

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What is the conductivity of a semiconductor sale having electron concentration of $$5 \times {10^{18}}\,\,{m^{ - 3}},$$

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Magnetic field in a plane electromagnetic wave is given by
$$\overrightarrow B $$ = B0 sin (k x + $$\omega $$t) $$\wideh

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A single slit of width b is illuminated by a coherent monochromatic light of wavelength $$\lambda $$. If the second and

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Let the refractive index of a denser medium with respect to a rarer medium be n12 and its critical angle be θC . At an a

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The maximum velocity of the photoelectrons emitted from the surface is v when light of frequency n falls on a metal surf

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According to Bohr’s theory, the time averaged magnetic field at the centre (i.e. nucleus) of a hydrogen atom due to the

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A signal of frequency 20 kHz and peak voltage of 5 Volt is used to modulate a carrier wave of frequency 1.2 MHz and peak

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Two deuterons undergo nuclear fusion to form a Helium nucleus. Energy released in this process is : (given binding energ

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The V-I characteristic of a diode is shown in the figure. The ratio of forward to reverse bias
resistance is :

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If the Earth has no rotational motion, the weight of a person on the equator is W. Determine the speed with which the ea

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A 9 V battery with internal resistance of 0.5 $$\Omega $$ is connected across an infinite network as shown in the figu

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