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JEE Main 2018 (Online) 16th April Morning Slot

Exam Held on Mon Apr 16 2018 03:30:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

Chemistry

Which of the following statements is <b>false</b> ?
At 320 K, a gas A<sub>2</sub> is 20% dissociated to A(g). The standard free ener...
The <b>incorrect</b> statement is :
The mass of a non-volatile, non-electrolyte solute (molar mass = 50 g mol<sup>-...
The <b>incorrect</b> geometry is represented by :
In Wilkinson's catalyst, the hybridization of central metal ion and its shape ar...
Which of the following complexes will shows geometrical isomerism ?
Among the oxides of nitrogen : N<sub>2</sub>O<sub>3</sub>, N<sub>2</sub>O<sub>4<...
In the extraction of copper from its sulphate ore, metal is finally obtained by ...
Which of the following conversions involves change in both shape and hybridisati...
A group 13 element 'X' reacts with chlorine gas to produce a compound XCl<sub>3<...
When XO<sub>2</sub> is fused with an alkali metal hydroxide in presence of an ox...
For standardizing NaOH solution, which of the following is used as a primary sta...
The correct match between items of <b>List - I</b> and <b>List - II</b> is : <...
Among the following, the <b>incorrect</b> statement is :
Which of the following compounds will most readily be dehydrated to give alkene ...
Products A and B formed in the following reactions are respectively : <br><br><...
The major produced of the following reaction is : <br><br><img src="https://ima...
The major product of the following reaction is : <br><br><img src="https://imag...
The major product B formed in the following reaction sequance is : <br><br><img...
The most polar compound among the following is :
The major product of the following reaction is : <br><br><img src="https://imag...
In a complexometric titration of metal ion with ligand <br>M(Metal ion) + L(Lig...
The gas phase reaction 2NO<sub>2</sub>(g) $$ \to $$ N<sub>2</sub>O<sub>4</sub>(g...
An unknown chlorohydrocarbon has 3.55% of chlorine. If each molecule of the hydr...
Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydroge...
When 9.65 ampere current was passed for 1.0 hour into nitrobenzene in acidic med...
Which one of the following is not a property of physical adsorption ?
For which of the following processes, $$\Delta $$S is negative ?
If 50% of a reaction occurs in 100 second and 75% of the reaction occurs in 200...

Mathematics

The least positive integer n for which $${\left( {{{1 + i\sqrt 3 } \over {1 - i\...
Let p, q and r be real numbers (p $$ \ne $$ q, r $$ \ne $$ 0), such that the ro...
Let <b>N</b> denote the set of all natural numbers. Define two binary relations ...
Let A = $$\left[ {\matrix{ 1 &amp; 0 &amp; 0 \cr 1 &amp; 1 &amp; 0 \cr ...
The number of values of k for which the system of linear equations, <br>(k + 2...
The coefficient of x<sup>2</sup> in the expansion of the product <br>(2$$-$$x<...
The number of numbers between 2,000 and 5,000 that can be formed with the digits...
The sum of the first 20 terms of the series <br><br>$$1 + {3 \over 2} + {7 \ove...
$$\mathop {\lim }\limits_{x \to 0} \,\,{{{{\left( {27 + x} \right)}^{{1 \over 3}...
Let $${1 \over {{x_1}}},{1 \over {{x_2}}},...,{1 \over {{x_n}}}\,\,$$ (x<sub>i</...
Let M and m be respectively the absolute maximum and the absolute minimum values...
If the function f defined as <br><br>$$f\left( x \right) = {1 \over x} - {{k - ...
If $$x = \sqrt {{2^{\cos e{c^{ - 1}}}}} $$ and $$y = \sqrt {{2^{se{c^{ - 1}}t}}}...
If $$\int {{{\tan x} \over {1 + \tan x + {{\tan }^2}x}}dx = x - {K \over {\sqrt ...
If $$f(x) = \int\limits_0^x {t\left( {\sin x - \sin t} \right)dt\,\,\,} $$ then ...
If the area of the region bounded by the curves, $$y = {x^2},y = {1 \over x}$$ a...
The differential equation representing the family of ellipse having foci eith on...
The locus of the point of intersection of the lines, $$\sqrt 2 x - y + 4\sqrt 2 ...
If a circle C, whose radius is 3, touches externally the circle, <br>$${x^2} + ...
If the length of the latus rectum of an ellipse is 4 units and the distance betw...
Let P be a point on the parabola, x<sup>2</sup> = 4y. If the distance of P from ...
If the angle between the lines, $${x \over 2} = {y \over 2} = {z \over 1}$$ <br...
The sum of the intercepts on the coordinate axes of the plane passing through th...
Let $$\overrightarrow a = \widehat i + \widehat j + \widehat k,\overrightarrow ...
Let A, B and C be three events, which are pair-wise independent and $$\overright...
The mean and the standarddeviation(s.d.) of five observations are9 and 0, respec...
Two different families A and B are blessed with equal numbe of children. There a...
If an angle A of a $$\Delta $$ABC satiesfies 5 cosA + 3 = 0, then the roots of ...
If p $$ \to $$ ($$ \sim $$ p$$ \vee $$ $$ \sim $$ q) is false, then the truth va...
A man on the top of a vertical tower observes a car moving at a uniform speed to...

Physics

The percentage errors in quantities P, Q, R and S are 0.5%, 1%, 3% and 1.5% resp...
Let $$\overrightarrow A $$ = $$\left( {\widehat i + \widehat j} \right)$$ and, $...
A body of mass m starts moving from rest along x-axis so that its velocity varie...
Two particles of the same mass m are moving in circular orbits because of force,...
Suppose that the angular velocity of rotation of earth is increased. Then, as a ...
The relative uncertainly in the period of a satellite orbiting around the earth ...
An oscillator of mass M is at rest in its equilibrium position in a potential <...
A small soap bubble of radius 4 cm is trapped inside another bubble of radius 6 ...
A particle executes simple harmonic motion and is located at x = a, b and c at t...
Two moles of helium are mixed with n moles of hydrogen. If $${{Cp} \over {Cv}} ...
Two sitar strings, A and B, playing the note 'Dha' are slightly out of tune and...
A galvanometer with its coil resistance 25 $$\Omega $$ requires a current of 1 m...
A heating element has a resistance of 100 $$\Omega $$ at room temperature. When...
Two identical conducting spheres A and B, carry equal charge. They are separate...
A power transmission line feeds input power at 2300 V to a step down transformer...
A plane electromagnetic wave of wavelength $$\lambda $$ has an intensity I. It ...
A coil of cross-sectional area A having n turns is placed in a uniform magnetic ...
A charge q is spread uniformly over an insulated loop of radius r. If it is rot...
A ray of light is incident at an angle of 60<sup>o</sup> on one face of a prism ...
Unpolarized light of intensity I is incident on a system of two polarizers, A f...
The de-Broglie wavelength ($$\lambda $$<sub>B</sub>) associated with the electro...
Both the nucleus and the atom of some element arein their respective first excit...
At some instant, a radioactive sample S<sub>1</sub> having an activity 5 $$\mu ...
The end correction of a resonance column is 1 cm. If the shortest length resonat...
In a circuit for finding the resistance of a galvanometer by half deflection me...
A carrier wave of peak voltage 14 V is used for transmitting a message signal. T...
In the given circuit, the current through zener diode is : <br><br><img src="ht...
A thin circular disk is in the xy plane as shown in the figure. The ratio of its...
In the following circuit, the switch S is closed at t = 0. The charge on the ca...
One mole of an ideal monoatomic gas is taken along the path ABCA as show in the ...

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