JEE Main 2018 (Online) 15th April Morning Slot

The major product of the following reaction is :

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

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

The correct match between items of List-I and List-II is :

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The IUPAC name of the following compound is :

Which of the following is the correct structure of Adenosine?

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

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

In the molecular orbital diagram for the molecular ion, N2+, the number of electrons in the \(\sigma\)2pz molecular orbital is :

Identify the pair in which the geometry of the species is \(T\)-shape and square - pyramidal, respectively :

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

N2O5 decomposes to NO2 and O2 and follows first order kinetics. After 50 minutes, the pressure inside the vessel increases from 50 mmHg to 87.5 mmHg. The pressure of the gaseous mixture after 100 minute at constant temperature will be :

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

The increasing order of nitration of the following compounds is :

The correct combination is :

When an electric currents passed through acidified water, 112 mL of hydrogen gas at N.T.P. was collected at the cathode in 965 seconds. The current passed, in ampere, is :

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

The minimum volume of water required to dissolve 0.1 g lead (II) chloride to get a saturated solution (Ksp of PbCl2 = 3.2 \(\times\) 10-8 atomic mass of Pb = 207 u ) is :

Which of the following is a Lewis acid?

Xenon hexafluoride on partial hydrolysis produces compounds 'X' and 'Y' . Compounds 'X' and 'Y' and the oxidation state of Xe are respectively :

A white sodium salt dissolves readily in water to give a solution which is neutral to litmus. When silver nitrate solution is added to the aformentioned solution, a white precipitate is obtained which does not dissolve in dil. nitric acid. ...

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

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

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

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

A sample of \(NaCl{O_3}\) is converted by heat to \(NaCl\) with a loss of \(0.16\) \(g\) of oxygen. The residue is dissolved in water and precipitated as \(AgCl.\) The mass of \(AgCl\) (in \(g\)) obtained will be : (Given : Molar mass of $$...

Ejection of the photoelectron from metal in the photoelectric experiment can be stopped by applying 0.5 V when the radiation of 250 nm is used. The work function of the metal is :

Which of the following statements about colloids is False ?

For which of the following reactions, \(\Delta\)H is equal to \(\Delta\)U?

An ideal gas undergoes a cyclic process as shown in Figure.
\(\Delta\)UBC = \(-\)5 kJ mol-1, qAB = \(2\) kJ mol-1, WAB = \(-\)5 kJ mol-1, WCA = 3 kJ mol-1. Heat absorbed by the system during process \(CA\) is :

An angle between the plane, x + y + z = 5 and the line of intersection of the planes, 3x + 4y + z \(-\) 1 = 0 and 5x + 8y + 2z + 14 =0, is :

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 drawn parallel to yz -plane through A, a second plane is drawn parallel zx-plane through B and a third plane is drawn par...

If a right circular cone, having maximum volume, is inscribed in a sphere of radius 3 cm, then the curved surface area (in cm2) of this cone is :

If \(\beta\) is one of the angles between the normals to the ellipse, x2 + 3y2 = 9 at the points (3 cos \(\theta\), \(\sqrt 3 \sin \theta\)) and (\(-\) 3 sin \(\theta\), \(\sqrt 3 \,\cos \theta\)); $$\theta \in \left( {0,{\pi \over ...

The area (in sq. units) of the region
{x \(\in\) R : x \(\ge\) 0, y \(\ge\) 0, y \(\ge\) x \(-\) 2  and y \(\le\) \(\sqrt x\)}, is :

If n is the degree of the polynomial,
\({\left[ {{2 \over {\sqrt {5{x^3} + 1} - \sqrt {5{x^3} - 1} }}} \right]^8} +\) \({\left[ {{2 \over {\sqrt {5{x^3} + 1} + \sqrt {5{x^3} - 1} }}} \right]^8}\)
and m is the coefficient of xn in it, ...

A circle passes through the points (2, 3) and (4, 5). If its centre lies on the line, \(y - 4x + 3 = 0,\) then its radius is equal to :

The set of all \(\alpha\) \(\in\) R, for which w = \({{1 + \left( {1 - 8\alpha } \right)z} \over {1 - z}}\) is purely imaginary number, for all z \(\in\) C satisfying |z| = 1 and Re z \(\ne\) 1, is :

The value of the integral
\(\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {{{\sin }^4}} x\left( {1 + \log \left( {{{2 + \sin x} \over {2 - \sin x}}} \right)} \right)dx\) is :

Let y = y(x) be the solution of the differential equation \({{dy} \over {dx}} + 2y = f\left( x \right),\) where \(f\left( x \right) = \left\{ {\matrix{ {1,} & {x \in \left[ {0,1} \right]} \cr {0,} & {otherwise} \cr } } \right.\)...

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

If \(f\left( x \right) = \left| {\matrix{ {\cos x} & x & 1 \cr {2\sin x} & {{x^2}} & {2x} \cr {\tan x} & x & 1 \cr } } \right|,\) then \(\mathop {\lim }\limits_{x \to 0} {{f'\left( x \right)} \over x}\)

An aeroplane flying at a constant speed, parallel to the horizontal ground, \(\sqrt 3\) kmabove it, is obsered at an elevation of \({60^o}\) from a point on the ground. If, after five seconds, its elevation from the same point, is $${30^o...

If the tangents drawn to the hyperbola 4y2 = x2 + 1 intersect the co-ordinate axes at the distinct points A and B then the locus of the mid point of AB is :

If \(f\left( {{{x - 4} \over {x + 2}}} \right) = 2x + 1,\) (x \(\in\) R \(-\){1, \(-\) 2}), then \(\int f \left( x \right)dx\) is equal to :
(where C is a constant of integration)

Let S = {(\(\lambda\), \(\mu\)) \(\in\) R \(\times\) R : f(t) = (|\(\lambda\)| e|t| \(-\) \(\mu\)). sin (2|t|), t \(\in\) R, is a differentiable function}. Then S is a subset of :

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

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 + 2y + kz = 4
has a unique solution. Then S is :

Let \(A\) be a matrix such that \(A.\left[ {\matrix{ 1 & 2 \cr 0 & 3 \cr } } \right]\) is a scalar matrix and |3A| = 108.
Then A2 equals :

Two parabolas with a common vertex and with axes along x-axis and \(y\)-axis, respectively intersect each other in the first quadrant. If the length of the latus rectum of each parabola is \(3\), then the equation of the common tangent to t...