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## JEE Main 2018 (Online) 15th April Morning Slot

Exam Held on Sun Apr 15 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.

A sample of $$NaCl{O_3}$$ is converted by heat to $$NaCl$$ with a loss of $$0.16... When an electric currents passed through acidified water, 112 mL of hydrogen gas... The minimum volume of water required to dissolve 0.1 g lead (II) chloride to get... In which of the following reactions, an increase in the volume of the container ... N<sub>2</sub>O<sub>5</sub> decomposes to NO<sub>2</sub> and O<sub>2</sub> and fo... For which of the following reactions,$$\Delta $$H is equal to$$\Delta $$U? Ejection of the photoelectron from metal in the photoelectric experiment can be ... Which of the following statements about colloids is <b>False </b>? In the molecular orbital diagram for the molecular ion, N<sub>2</sub><sup>+</sup... Which of the following is a Lewis acid ? For Na<sup>+</sup>, Mg<sup>2+</sup>, F<sup>-</sup> and O<sup>2-</sup>; the corre... In graphite and diamond, the percentage of p-characters of the hybrid orbitals i... The correct combination is : A white sodium salt dissolves readily in water to give a solution which is neutr... Identify the pair in which the geometry of the species is$$T-shape and square... Xenon hexafluoride on partial hydrolysis produces compounds 'X' and 'Y' . Compou... The decreasing order of bond angles in BF<sub>3</sub>, NH<sub>3</sub>, PF<sub>3<... The IUPAC name of the following compound is : <br><br><img src="https://imagex.... An ideal gas undergoes a cyclic process as shown in Figure. <br><br><img src="ht... Which of the following arrangements shows the schematic alignment of magnetic mo... <img src="https://imagex.cdn.examgoal.net/3UzEU3DoNe2f0nyhW/stdBs2KXb8NRzOIu6A9Y... Which of the following is the corect structure of Adenosine? The correct match between items of <b>List-I</b> and <b>List-II</b> is : <br><br... The increasing order of nitration of the following compounds is : <br><br><img s... The main reduction product of the following compound with NaBH<sub>4</sub> in me... Which of the following will not exist in zwitter ionic form at pH=7 ? The copolymer formed by addition polymerization of styrene and acrylonitrile in ... Which of the following will most readily give the dehydrohalogenation product ? ... The major product of the following reaction is : <br><br><img src="https://imag... The reagent(s) required for the following conversion are : <br><br><img src="htt... ## Mathematics Consider the following two binary relations on the set A = {a, b, c} : <br>R<su... If\lambda  \in $$<b>R</b> is such that the sum of the cubes of the root... The set of all$$\alpha  \in $$<b>R</b>, for which w =$${{1 + \left( {1 -...
Let $$A$$ be a matrix such that $$A.\left[ {\matrix{ 1 &amp; 2 \cr 0 &am... Let S be the set of all real values of k for which the systemof linear equations... If n is the degree of the polynomial, <br><br>$${\left[ {{2 \over {\sqrt {5{x^3...
If x<sub>1</sub>, x<sub>2</sub>, . . ., x<sub>n</sub> and $${1 \over {{h_1}}}$$,...
n$$-$$digit numbers are formed using only three digits 2, 5 and 7. The smallest...
If $$f\left( x \right) = \left| {\matrix{ {\cos x} &amp; x &amp; 1 \cr {... If b is the first term of an infinite G.P. whose sum is five, then b lies in the... Let S = {($$\lambda $$,$$\mu $$)$$ \in $$<b>R</b>$$ \times $$<b>R</b> : f(t... If &nbsp;&nbsp;x<sup>2</sup> + y<sup>2</sup> + sin y = 4, then the value of$${{...
If $$f\left( {{{x - 4} \over {x + 2}}} \right) = 2x + 1,$$ (x $$\in$$ <b>R</b>...
If a right circular cone, having maximum volume, is inscribed in a sphere of rad...
The area (in sq. units) of the region <br><br>{x $$\in$$ <b>R</b> : x $$\ge ... The value of the integral <br><br>$$\int\limits_{ - {\pi \over 2}}^{{\pi \over...
Let y = y(x) be the solution of the differential equation $${{dy} \over {dx}} + ... In a triangle ABC, coordinates of A are (1, 2) and the equations of the medians ... A circle passes through the points (2, 3) and (4, 5). If its centre lies on the ... If the tangents drawn to the hyperbola 4y<sup>2</sup> = x<sup>2</sup> + 1 inters... If$$\beta $$is one of the angles between the normals to the ellipse, x<sup>2</... Two parabolas with a common vertex and with axes along x-axis and$$y$$-axis, re... A variable plane passes through a fixed point (3,2,1) and meets x, y and z axes ... If$$\overrightarrow a ,\,\,\overrightarrow b ,$$and$$\overrightarrow C $$ar... An angle between the plane, x + y + z = 5 and the line of intersection of the pl... The mean of set of 30 observations is 75. If each observation is multiplied by a... If tanA and tanB are the roots of the quadratic equation, 3x<sup>2</sup>$$-$$1... A box 'A' contains$$2$$white,$$3$$red and$$2$$black balls. Another box 'B'... An aeroplane flying at a constant speed, parallel to the horizontal ground,$$\s...
If (p $$\wedge$$ $$\sim$$ q) $$\wedge$$ (p $$\wedge$$ r) $$\to$$ $$\s... ## Physics A body of mass m is moving in a circular orbit of radius R about a planet of mas... A given object takes n times more time to slide down a$${45^ \circ }$$rough in... An automobile, travelling at$$40\,$$km/h, can be stopped at a distance of$$40...
The relative error in the determination of the surface area of sphere is $$\alp... Take the mean distance of the moon and the sun from the earth to be$$0.4 \times...
A thin uniform tube is bent into a circle of radius $$r$$ in the vertical plane....
A Carnot's engine works as a refrigerator between $$250$$ K and $$300$$ K. It re...
One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel...
A body of mass $$M$$ and charge $$q$$ is connected to spring of spring constant ...
A monochromatic beam of light has a frequency $$v = {3 \over {2\pi }} \times {10... Light of wavelength$$550nm$$falls normally on a slit of width$$22.0 \tim...
A planoconvex lens becomes an optical system of $$28$$ $$cm$$ focal length when ...
A tuning fork vibrates with frequency $$256$$ $$Hz$$ and gives one beat per seco...
The energy required to remove the electron from a singly ionized Helium atom is ...
Two electrons are moving with non-relativistic speed perpendicular to each other...
A solution containing active cobalt $${{60} \over {27}}Co$$ having activity of \$...
In a common emitter configuration with suitable bias, it is given that $${R_L}$$...
In a screw gauge, $$5$$ complete rotations of the screw cause it to move a linea...
The velocity-time graphs of a car and a scooter are shown in the figure. (i) The...
A charge $$Q$$ is placed at a distance $$a/2$$ above the center of the square su...
A force of $$40$$ $$N$$ acts on a point $$B$$ at the end of an $$L$$-shaped obje...
A particle is oscillating on the $$X$$-axis with an amplitude $$2$$ $$cm$$ about...
<img src="https://imagex.cdn.examgoal.net/QRjJG7PflH7DYjtc9/TN1bgD5JunP07fS4zgD8...
A Helmholtz coil has a pair of loops, each with $$N$$ turns and radius $$R$$. Th...
The $$B$$-$$H$$ curve for a ferromagnet is shown in the figure. The ferromagnet ...
The equialent capacitance between $$A$$ and $$B$$ in the circuit given below, is...
In the given circuit all resistances are of value $$R$$ $$ohm$$ each. The equiva...
An ideal capacitor of capacitance $$0.2\,\mu F$$ is charged to a potential diffe...
The number of amplitude modulted broadcast stations that can be accomodated in a...
<img src="https://imagex.cdn.examgoal.net/PxPXLuUhXtrgOuxXa/qP8XEoYml4hru6SlTeAP...

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