JEE Main 2018 (Online) 16th April Morning Slot

Paper was held on
Mon, Apr 16, 2018 3:30 AM

## Chemistry

Which of the following statements is false ?

View Question At 320 K, a gas A2 is 20% dissociated to A(g). The standard free energy change at 320 K and 1 atm in J mol-1 is approxim

View Question The incorrect statement is :

View Question The mass of a non-volatile, non-electrolyte solute (molar mass = 50 g mol-1 ) needed to be dissolved in 114 g octane to

View Question The incorrect geometry is represented by :

View Question In Wilkinson's catalyst, the hybridization of central metal ion and its shape are respectively :

View Question Which of the following complexes will shows geometrical isomerism ?

View Question Among the oxides of nitrogen : N2O3, N2O4 and N2O5; the molecule(s) having nitrogen-nitrogen bond is / are :

View Question In the extraction of copper from its sulphate ore, metal is finally obtained by the oxidation of cuprous sulphide with :

View Question Which of the following conversions involves change in both shape and hybridisation ?

View Question A group 13 element 'X' reacts with chlorine gas to produce a compound XCl3. XCl3 is electron deficient and easily reacts

View Question When XO2 is fused with an alkali metal hydroxide in presence of an oxidizing agent such as KNO3 ; a dark green product

View Question For standardizing NaOH solution, which of the following is used as a primary standard ?

View Question The correct match between items of List - I and List - II is :
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View Question Among the following, the incorrect statement is :

View Question Which of the following compounds will most readily be dehydrated to give alkene under acidic condition ?

View Question Products A and B formed in the following reactions are respectively :

View Question The major product of the following reaction is :

View Question The major product of the following reaction is :

View Question The major product B formed in the following reaction sequence is :

View Question The most polar compound among the following is :

View Question The major product of the following reaction is :

View Question In a complexometric titration of metal ion with ligand
M(Metal ion) + L(Ligand) $$ \to $$ C(Complex) end point is esti

View Question The gas phase reaction 2NO2(g) $$ \to $$ N2O4(g) is an exothermic reaction. The decomposition of N2O4, in equilibrium

View Question An unknown chlorohydrocarbon has 3.55% of chlorine. If each molecule of the hydrocarbon has one chlorine atom only; chlo

View Question Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chloride at same temperature and press

View Question When 9.65 ampere current was passed for 1.0 hour into nitrobenzene in acidic medium, the amount of p-aminophenol produce

View Question Which one of the following is not a property of physical adsorption?

View Question For which of the following processes, $$\Delta $$S is negative ?

View Question If 50% of a reaction occurs in 100 second and 75% of the reaction occurs in 200 secod, the order of this reaction is :

View Question ## Mathematics

The least positive integer n for which $${\left( {{{1 + i\sqrt 3 } \over {1 - i\sqrt 3 }}} \right)^n} = 1,$$ is :

View Question Let p, q and r be real numbers (p $$ \ne $$ q, r $$ \ne $$ 0), such that the roots of the equation $${1 \over {x + p}}

View Question Let N denote the set of all natural numbers. Define two binary relations on N as R = {(x, y) $$ \in $$ N $$ \times $$ N

View Question Let A = $$\left[ {\matrix{
1 & 0 & 0 \cr
1 & 1 & 0 \cr
1 & 1 & 1 \cr
} } \right

View Question The number of values of k for which the system of linear equations,
(k + 2)x + 10y = k
kx + (k +3)y = k -1
has no solu

View Question The coefficient of x2 in the expansion of the product
(2$$-$$x2) .((1 + 2x + 3x2)6 + (1 $$-$$ 4x2)6) is :

View Question The number of numbers between 2,000 and 5,000 that can be formed with the digits 0, 1, 2, 3, 4 (repetition of digits is

View Question The sum of the first 20 terms of the series
$$1 + {3 \over 2} + {7 \over 4} + {{15} \over 8} + {{31} \over {16}} + ...,

View Question $$\mathop {\lim }\limits_{x \to 0} \,\,{{{{\left( {27 + x} \right)}^{{1 \over 3}}} - 3} \over {9 - {{\left( {27 + x} \ri

View Question Let $${1 \over {{x_1}}},{1 \over {{x_2}}},...,{1 \over {{x_n}}}\,\,$$ (xi $$ \ne $$ 0 for i = 1, 2, ..., n) be in A.P. s

View Question Let M and m be respectively the absolute maximum and the absolute minimum values of the function, f(x) = 2x3 $$-$$ 9x2

View Question If the function f defined as
$$f\left( x \right) = {1 \over x} - {{k - 1} \over {{e^{2x}} - 1}},x \ne 0,$$ is continuou

View Question If $$x = \sqrt {{2^{\cos e{c^{ - 1}}}}} $$ and $$y = \sqrt {{2^{se{c^{ - 1}}t}}} \,\,\left( {\left| t \right| \ge 1} \ri

View Question If $$\int {{{\tan x} \over {1 + \tan x + {{\tan }^2}x}}dx = x - {K \over {\sqrt A }}{{\tan }^{ - 1}}} $$ $$\left( {{{K\,

View Question If $$f(x) = \int\limits_0^x {t\left( {\sin x - \sin t} \right)dt\,\,\,} $$ then :

View Question If the area of the region bounded by the curves, $$y = {x^2},y = {1 \over x}$$ and the lines y = 0 and x= t (t >1) is

View Question The differential equation representing the family of ellipse having foci eith on the x-axis or on the $$y$$-axis, center

View Question The locus of the point of intersection of the lines, $$\sqrt 2 x - y + 4\sqrt 2 k = 0$$ and $$\sqrt 2 k\,x + k\,y - 4\sq

View Question If a circle C, whose radius is 3, touches externally the circle,
$${x^2} + {y^2} + 2x - 4y - 4 = 0$$ at the point (2, 2

View Question If the length of the latus rectum of an ellipse is 4 units and the distance between a focus an its nearest vertex on the

View Question Let P be a point on the parabola, x2 = 4y. If the distance of P from the center of the circle, x2 + y2 + 6x + 8 = 0 is m

View Question If the angle between the lines, $${x \over 2} = {y \over 2} = {z \over 1}$$
and $${{5 - x} \over { - 2}} = {{7y - 14} \

View Question The sum of the intercepts on the coordinate axes of the plane passing through the point ($$-$$2, $$-2,$$ 2) and containi

View Question Let $$\overrightarrow a = \widehat i + \widehat j + \widehat k,\overrightarrow c = \widehat j - \widehat k$$ and a vec

View Question Let A, B and C be three events, which are pair-wise independent and $$\overrightarrow E $$ denotes the completement of a

View Question The mean and the standard deviation(s.d.) of five observations are9 and 0, respectively. If one of the observations is c

View Question Two different families A and B are blessed with equal numbe of children. There are 3 tickets to be distributed amongst t

View Question If an angle A of a $$\Delta $$ABC satiesfies 5 cosA + 3 = 0, then the roots of the quadratic equation, 9x2 + 27x + 20 =

View Question If p $$ \to $$ ($$ \sim $$ p$$ \vee $$ $$ \sim $$ q) is false, then the truth values of p and q are respectively :

View Question A man on the top of a vertical tower observes a car moving at a uniform speed towards the tower on a horizontal road. If

View Question ## Physics

The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% respectively in the measurement of a physica

View Question Let $$\overrightarrow A $$ = $$\left( {\widehat i + \widehat j} \right)$$ and, $$\overrightarrow B = \left( {2\widehat

View Question A body of mass m starts moving from rest along x-axis so that its velocity varies as $$\upsilon = a\sqrt s $$ where a i

View Question Two particles of the same mass m are moving in circular orbits because of force, given by $$F\left( r \right) = {{ - 16}

View Question Suppose that the angular velocity of rotation of earth is increased. Then, as a consequence :

View Question The relative uncertainly in the period of a satellite orbiting around the earth is 10-2. If the relative uncertainty in

View Question An oscillator of mass M is at rest in its equilibrium position in a potential
V = $${1 \over 2}$$ k(x $$-$$ X)2. A par

View Question A small soap bubble of radius 4 cm is trapped inside another bubble of radius 6 cm without any contact. Let P2 be the pr

View Question A particle executes simple harmonic motion and is located at x = a, b and c at times t0, 2t0 and 3t0 respectively. The

View Question Two moles of helium are mixed with n moles of hydrogen. If $${{Cp} \over {Cv}} = {3 \over 2}$$ for the mixture, then th

View Question Two sitar strings, A and B, playing the note 'Dha' are slightly out of tune and produce beats of frequency 5 Hz. The te

View Question A galvanometer with its coil resistance 25 $$\Omega $$ requires a current of 1 mA for its full deflection. In order to c

View Question A heating element has a resistance of 100 $$\Omega $$ at room temperature. When it is connected to a supply of 220 V, a

View Question Two identical conducting spheres A and B, carry equal charge. They are separated by a distance much larger than their d

View Question A power transmission line feeds input power at 2300 V to a step down transformer with its primary windings having 4000 t

View Question A plane electromagnetic wave of wavelength $$\lambda $$ has an intensity I. It is propagatting along the positive Y-dir

View Question A coil of cross-sectional area A having n turns is placed in a uniform magnetic field B. When it is rotated with an angu

View Question A charge q is spread uniformly over an insulated loop of radius r. If it is rotated with an angular velocity $$\omega $

View Question A ray of light is incident at an angle of 60o on one face of a prism of angle 30o. The emergent ray of light makes an a

View Question Unpolarized light of intensity I is incident on a system of two polarizers, A followed by B. The intensity of emergent

View Question The de-Broglie wavelength ($$\lambda $$B) associated with the electron orbiting in the second excited state of hydrogen

View Question Both the nucleus and the atom of some element arein their respective first excited states. They get de-excted by emittin

View Question At some instant, a radioactive sample S1 having an activity 5 $$\mu $$Ci has twice the number of nuclei as another samp

View Question The end correction of a resonance column is 1 cm. If the shortest length resonating with the tunning fork is 10 cm, the

View Question In a circuit for finding the resistance of a galvanometer by half deflection method, a 6 V battery and a high resistan

View Question A carrier wave of peak voltage 14 V is used for transmitting a message signal. The peak voltage of modulating signal giv

View Question In the given circuit, the current through zener diode is :

View Question A thin circular disk is in the xy plane as shown in the figure. The ratio of its moment of inertia about z and z' axes w

View Question In the following circuit, the switch S is closed at t = 0. The charge on the capacitor C1 as a function of time will be

View Question One mole of an ideal monoatomic gas is taken along the path ABCA as show in the PV diagram. The maximum temperature atta

View Question