JEE Main 2018 (Online) 15th April Morning Slot

Paper was held on
Sun, Apr 15, 2018 3:30 AM

## Chemistry

The minimum volume of water required to dissolve 0.1 g lead (II) chloride to get a saturated solution (Ksp of PbCl2 = 3

View Question A sample of $$NaCl{O_3}$$ is converted by heat to $$NaCl$$ with a loss of $$0.16$$ $$g$$ of oxygen. The residue is disso

View Question In which of the following reactions, an increase in the volume of the container will favour the formation of products?

View Question N2O5 decomposes to NO2 and O2 and follows first order kinetics. After 50 minutes, the pressure inside the vessel increas

View Question When an electric currents passed through acidified water, 112 mL of hydrogen gas at N.T.P. was collected at the cathode

View Question Which of the following statements about colloids is False ?

View Question Ejection of the photoelectron from metal in the photoelectric experiment can be stopped by applying 0.5 V when the radia

View Question For which of the following reactions, $$\Delta $$H is equal to $$\Delta $$U?

View Question In the molecular orbital diagram for the molecular ion, N2+, the number of electrons in the $$\sigma $$2pz molecular orb

View Question Which of the following is a Lewis acid?

View Question For Na+, Mg2+, F- and O2-; the correct order of increasing ionic radii is :

View Question In graphite and diamond, the percentage of p-characters of the hybrid orbitals in hybridisation are respectively :

View Question Identify the pair in which the geometry of the species is $$T$$-shape and square - pyraidal, respectively :

View Question The correct combination is :

View Question A white sodium salt dissolves readily in water to give a solution which is neutral to litmus. When silver nitrate soluti

View Question The decreasing order of bond angles in BF3, NH3, PF3 and I3- is :

View Question Xenon hexafluoride on partial hydrolysis produces compounds 'X' and 'Y' . Compounds 'X' and 'Y' and the oxidation state

View Question The IUPAC name of the following compound is :

View Question Which of the following arrangements shows the schematic alignment of magnetic moments of antiferromagnetic substance ?

View Question An ideal gas undergoes a cyclic process as shown in Figure.
$$\Delta $$UBC = $$-$$5 kJ mol-1, qAB = $$2$$ kJ mol-1, WAB

View Question
In hydrogen azide (above) the bond orders of bond (I) and (II) are :

View Question Which of the following is the correct structure of Adenosine?

View Question The correct match between items of List-I and List-II is :
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View Question The increasing order of nitration of the following compounds is :

View Question The main reduction product of the following compound with NaBH4 in methanol is :

View Question Which of the following will most readily give the dehydrohalogenation product ?

View Question The copolymer formed by addition polymerization of styrene and acrylonitrile in the presence of peroxide is :

View Question Which of the following will not exist in zwitter ionic form at pH=7 ?

View Question The major product of the following reaction is :

View Question The reagent(s) required for the following conversion are :

View Question ## Mathematics

Consider the following two binary relations on the set A = {a, b, c} :
R1 = {(c, a), (b, b), (a, c), (c, c), (b, c), (a

View Question If $$\lambda $$ $$ \in $$ R is such that the sum of the cubes of the roots of the equation,
x2 + (2 $$-$$ $$\lambda $$)

View Question The set of all $$\alpha $$ $$ \in $$ R, for which w = $${{1 + \left( {1 - 8\alpha } \right)z} \over {1 - z}}$$ is purely

View Question Let $$A$$ be a matrix such that $$A.\left[ {\matrix{
1 & 2 \cr
0 & 3 \cr
} } \right]$$ is a scalar m

View Question Let S be the set of all real values of k for which the systemof linear equations
x + y + z = 2
2x + y $$-$$ z = 3
3x + 2

View Question If n is the degree of the polynomial,
$${\left[ {{2 \over {\sqrt {5{x^3} + 1} - \sqrt {5{x^3} - 1} }}} \right]^8} + $$

View Question If x1, x2, . . ., xn and $${1 \over {{h_1}}}$$, $${1 \over {{h_2}}}$$, . . . , $${1 \over {{h_n}}}$$ are two A.P..s such

View Question n$$-$$digit numbers are formed using only three digits 2, 5 and 7. The smallest value of n for which 900 such distinct

View Question If b is the first term of an infinite G.P. whose sum is five, then b lies in the interval :

View Question If $$f\left( x \right) = \left| {\matrix{
{\cos x} & x & 1 \cr
{2\sin x} & {{x^2}} & {2x} \cr

View Question If x2 + y2 + sin y = 4, then the value of $${{{d^2}y} \over {d{x^2}}}$$ at the point ($$-$$2,0) is :

View Question Let S = {($$\lambda $$, $$\mu $$) $$ \in $$ R $$ \times $$ R : f(t) = (|$$\lambda $$| e|t| $$-$$ $$\mu $$). sin (2|t|),

View Question If $$f\left( {{{x - 4} \over {x + 2}}} \right) = 2x + 1,$$ (x $$ \in $$ R $$-$${1, $$-$$ 2}), then $$\int f \left( x \ri

View Question If a right circular cone, having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (

View Question The area (in sq. units) of the region
{x $$ \in $$ R : x $$ \ge $$ 0, y $$ \ge $$ 0, y $$ \ge $$ x $$-$$ 2 and y

View Question The value of the integral
$$\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {{{\sin }^4}} x\left( {1 + \log \left( {{{2

View Question In a triangle ABC, coordinates of A are (1, 2) and the equations of the medians through B and C are respectively, x + y

View Question Let y = y(x) be the solution of the differential equation $${{dy} \over {dx}} + 2y = f\left( x \right),$$ where $$f\left

View Question A circle passes through the points (2, 3) and (4, 5). If its centre lies on the line, $$y - 4x + 3 = 0,$$ then its radiu

View Question If the tangents drawn to the hyperbola 4y2 = x2 + 1 intersect the co-ordinate axes at the distinct points A and B then t

View Question Two parabolas with a common vertex and with axes along x-axis and $$y$$-axis, respectively intersect each other in the f

View Question If $$\beta $$ is one of the angles between the normals to the ellipse, x2 + 3y2 = 9 at the points (3 cos $$\theta $$, $$

View Question A variable plane passes through a fixed point (3,2,1) and meets x, y and z axes at A, B and C respectively. A plane is d

View Question An angle between the plane, x + y + z = 5 and the line of intersection of the planes, 3x + 4y + z $$-$$ 1 = 0 and 5x + 8

View Question If $$\overrightarrow a ,\,\,\overrightarrow b ,$$ and $$\overrightarrow C $$ are unit vectors such that $$\overrightarr

View Question The mean of set of 30 observations is 75. If each observation is multiplied by a non-zero number $$\lambda $$ and then e

View Question A box 'A' contains $$2$$ white, $$3$$ red and $$2$$ black balls. Another box 'B' contains $$4$$ white, $$2$$ red and $$3

View Question If tanA and tanB are the roots of the quadratic equation, 3x2 $$-$$ 10x $$-$$ 25 = 0, then the value of 3 sin2(A + B) $$

View Question An aeroplane flying at a constant speed, parallel to the horizontal ground, $$\sqrt 3 $$ kmabove it, is obsered at an el

View Question If (p $$ \wedge $$ $$ \sim $$ q) $$ \wedge $$ (p $$ \wedge $$ r) $$ \to $$ $$ \sim $$ p $$ \vee $$ q is false, then the

View Question ## Physics

A given object takes n times more time to slide down a $${45^ \circ }$$ rough inclined plane as it takes to slide down a

View Question A body of mass m is moving in a circular orbit of radius R about a planet of mass M. At some instant, it splits into two

View Question An automobile, travelling at $$40\,$$ km/h, can be stopped at a distance of $$40\,$$ m by applying brakes. If the same a

View Question The relative error in the determination of the surface area of sphere is $$\alpha $$. Then the relative error in the de

View Question Take the mean distance of the moon and the sun from the earth to be $$0.4 \times {10^6}$$ km and $$150 \times {10^6}$$ k

View Question A thin uniform tube is bent into a circle of radius $$r$$ in the vertical plane. Equal volumes of two immiscible liquids

View Question A Carnot's engine works as a refrigerator between $$250$$ K and $$300$$ K. It receives $$500$$ cal heat from the reservo

View Question One mole of an ideal monoatomic gas is compressed isothermally in a rigid vessel to double its pressure at room temperat

View Question A body of mass $$M$$ and charge $$q$$ is connected to spring of spring constant $$k.$$ It is oscillating along $$x$$-di

View Question A tuning fork vibrates with frequency $$256$$ $$Hz$$ and gives one beat per second with the third normal mode of vibrati

View Question Light of wavelength $$550$$ $$nm$$ falls normally on a slit of width $$22.0 \times {10^{ - 5}}$$ $$cm.$$ The angular pos

View Question A monochromatic beam of light has a frequency $$v = {3 \over {2\pi }} \times {10^{12}}Hz$$ and is propagating along the

View Question A planoconvex lens becomes an optical system of $$28$$ $$cm$$ focal length when its plane surface is silvered and illumi

View Question The energy required to remove the electron from a singly ionized Helium atom is $$2.2$$ times the energies required to r

View Question Two electrons are moving with non-relativistic speed perpendicular to each other. If corresponding de Broglie wavelength

View Question A solution containing active cobalt $${^{60}_{27}}Co$$ having activity of $$0.8$$ $$\mu Ci$$ and decay constant $$\lambd

View Question In a common emitter configuration with suitable bias, it is given that $${R_L}$$ is the load resistance and $${R_{BE}}$

View Question In a screw gauge, $$5$$ complete rotations of the screw cause it to move a linear distance of $$0.25$$ $$cm.$$ There are

View Question The velocity-time graphs of a car and a scooter are shown in the figure. (i) The difference between the distance travell

View Question A charge $$Q$$ is placed at a distance $$a/2$$ above the center of the square surface of edge a as shown in the figure.

View Question A force of $$40$$ $$N$$ acts on a point $$B$$ at the end of an $$L$$-shaped object, as shown in the figure. The angle $$

View Question A particle is oscillating on the $$X$$-axis with an amplitude $$2$$ $$cm$$ about the point $${x_0} = 10\,cm,$$ with a fr

View Question
In a meter bridge, as shown in the figure, it is given that resistance $$Y = 12.5\,\,\Omega $$ and that the balance is

View Question A Helmholtz coil has a pair of loops, each with $$N$$ turns and radius $$R$$. They are placed coaxially at distance $$R$

View Question The $$B$$-$$H$$ curve for a ferromagnet is shown in the figure. The ferromagnet is placed inside a long solended with $$

View Question In the given circuit all resistances are of value $$R$$ $$ohm$$ each. The equivalent resistance between $$A$$ and $$B$$

View Question The number of amplitude modulted broadcast stations that can be accomodated in a $$300$$ $$kHz$$ band width for the high

View Question An ideal capacitor of capacitance $$0.2\,\mu F$$ is charged to a potential difference of $$10$$ $$V.$$ The charging batt

View Question A uniform rod $$AB$$ is suspended from a point $$X,$$ at a variable distance $$x$$ from $$A$$, as shown, To make the rod

View Question The equivalent capacitance between $$A$$ and $$B$$ in the circuit given below, is :

View Question