JEE Main 2017 (Online) 8th April Morning Slot

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

## Chemistry

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

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

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

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

View Question 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

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

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

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

View Question 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

View Question Which of the following is paramagnetic ?

View Question sp3d2 hybridization is not displayed by :

View Question A metal ‘M’ reacts with nitrogen gas to afford ‘M3N’. ‘M3N’ on heating at high temperature gives back ‘M’ and on
reactio

View Question Consider the following ionization enthalpies of two elements 'A' and 'B' .
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View Question Consider the following standard electrode potentials (Eo in volts) in aqueous solution :
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View Question Which of the following statements is not true about partition chromatography?

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

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

View Question Among the following, the essential amino acid is :

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

View Question The major product expected from the following reaction is :

View Question The major product of the following reaction is :

View Question The IUPAC name of the following compound is :

View Question The major product of the following reaction is :

View Question The major product of the following reaction is :

View Question ## Mathematics

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

View Question 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

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

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

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

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

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

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

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

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

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

View Question 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

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

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

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

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

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

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

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

View Question 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

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

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

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

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

View Question ## Physics

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

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

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

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

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

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

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

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

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

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

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

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

View Question A magnetic dipole in a constant magnetic field has :

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

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

View Question 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

View Question 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

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

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

View Question 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

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

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

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

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

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

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

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

View Question