JEE Main 2021 (Online) 16th March Morning Shift

The product ''P'' in the above reaction is :

Assertion A : Enol form of acetone [CH3COCH3] exists in < 0.1% quantity. However, the enol form of acetyl acetone [CH3COCH2OCCH3] exists in approximately 15% quantity.Reason R : Enol form of acetyl acetone is stabilized by intramolecular hy...

Among the following, the aromatic compounds are :Choose the correct answer from the following options :

In chromotography technique, the purification of compound is independent of :

Which among the following pairs of Vitamins is stored in our body relatively for longer duration?

Given below are two statements : one is labeled as Assertion A and the other is labelled as Reason R :Assertion A : The H\(-\)O\(-\)H bond angle in water molecule is 104.5\(^\circ\).Reason R : The lone pair - lone pair repulsion of electron...

For the reaction \(A(g) \rightleftharpoons B(g)\) at 495 K, \(\Delta\)rG\(^\circ\) = \(-\)9.478 kJ mol\(-\)1.If we start the reaction in a closed container at 495 K with 22 millimoles of A, the amount of B in the equilibrium mixture is ____...

The decomposition of formic acid on gold surface follows first order kinetics. If the rate constant at 300 K is 1.0 \(\times\) 10\(-\)3 s\(-\)1 and the activation energy Ea = 11.488 kJ mol\(-\)1, the rate constant at 200 K is ____________ $...

The functions of antihistamine are :

Which of the following reactions DOES NOT involve Hoffmann bromamide degradation?

In the above chemical reaction, intermediate ''X'' and reagent/condition ''A'' are :

The equivalents of ethylene diamine required to replace the neutral ligands from the coordination sphere of the trans-complex of CoCl3 . 4NH3 is _________. (Round off to the Nearest Integer).

Given below are two statements :Statement I : The Eo value for Ce4+ / Ce3+ is + 1.74 V.Statement II : Ce is more stable in Ce4+ state than Ce3+ state.In the light of the above statements, choose the most appropriate answer from the options ...

Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R :Assertion A : Size of Bk3+ ion is less than Np3+ ion.Reason R : The above is a consequence of the lanthanoid contraction.In the light of t...

The type of pollution that gets increased during the day time and in the presence of O3 is :

The products ''A'' and ''B'' formed in above reactions are :

Which of the following is Lindlar catalyst?

Given below are two statements :Statement I : H2O2 can act as both oxidising and reducing agent in basic medium.Statement II : In the hydrogen economy, the energy is transmitted in the form of dihydrogen.In the light of the above statements...

Two salts A2X and MX have the same value of solubility product of 4.0 \(\times\) 10\(-\)12. The ratio of their molar solubilities i.e. \({{S({A_2}X)} \over {S(MX)}}\) = __________. (Round off to the Nearest Integer)

The process that involves the removal of sulphur from the ores is :

A group of 15 element, which is a metal and forms a hydride with strongest reducing power among group 15 hydrides. The element is :

Match List - I with List - II :



List - IIndustrial process

List - IIApplication




(a)
Haber's process
(i)
\(HN{O_3}\) synthesis


(b)
Ostwald's process
(ii)
Aluminium extractio...

Match List - I with List - II :



List - I Name of oxo acid

List - II Oxidation state of 'P'




(a)
Hypophosphorous acid
(i)
+5


(b)
Orthophosphoric acid
(ii)
+4


(c)
...

Given below are two statements :Statement I : Both CaCl2 . 6H2O and MgCl2 . 8H2O undergo dehydration on heating.Statement II : BeO is amphoteric whereas the oxides of other elements in the same group are acidic.In the light of the above sta...

A certain element crystallises in a bcc lattice of unit cell edge length 27\(\mathop A\limits^o\). If the same element under the same conditions crystallises in the fcc lattice, the edge length of the unit cel in \(\mathop A\limits^o\) wi...

AB2 is 10% dissociated in water to A2+ and B\(-\). The boiling point of a 10.0 molal aqueous solution of AB2 is __________\(^\circ\)C. (Round off to the Nearest Integer).[Given : Molal elevation constant of water Kb = 0.5 K kg mol\(-\)1 boi...

A 6.50 molal solution of KOH (aq.) has a density of 1.89 g cm\(-\)3. The molarity of the solution is ____________ mol dm\(-\)3. (Round off to the Nearest Integer).[Atomic masses : K : 39.0 u; O : 16.0 u; H : 1.0 u]

Complete combustion of 750 g of an organic compound provides 420 g of CO2 and 210 g of H2O. The percentage composition of carbon and hydrogen in organic compound is 15.3 and ___________ respectively. (Round off to the Nearest Integer).

\(2MnO_4^ - + b{C_2}O_4^{2 - } + c{H^ + } \to xM{n^{2 + }} + yC{O_2} + z{H_2}O\)If the above equation is balanced with integer coefficients, the value of c is ___________. (Round off to the Nearest Integer).

When light of wavelength 248 nm falls on a metal of threshold energy 3.0 eV, the de-Broglie wavelength of emitted electrons is _______\(\mathop A\limits^o\). (Round off to the Nearest Integer).[ Use : \(\sqrt 3\) = 1.73, h = 6.63 $$\times...

Let P be a plane lx + my + nz = 0 containing the line, \({{1 - x} \over 1} = {{y + 4} \over 2} = {{z + 2} \over 3}\). If plane P divides the line segment AB joining points A(\(-\)3, \(-\)6, 1) and B(2, 4, \(-\)3) in ratio k : 1 then the val...

If for a > 0, the feet of perpendiculars from the points A(a, \(-\)2a, 3) and B(0, 4, 5) on the plane lx + my + nz = 0 are points C(0, \(-\)a, \(-\)1) and D respectively, then the length of line segment CD is equal to :

Let the position vectors of two points P and Q be 3\(\widehat i\) \(-\) \(\widehat j\) + 2\(\widehat k\) and \(\widehat i\) + 2\(\widehat j\) \(-\) 4\(\widehat k\), respectively. Let R and S be two points such that the direction ratios of l...

If n is the number of irrational terms in the expansion of \({\left( {{3^{1/4}} + {5^{1/8}}} \right)^{60}}\), then (n \(-\) 1) is divisible by :

Let [ x ] denote greatest integer less than or equal to x. If for n\(\in\)N, \({(1 - x + {x^3})^n} = \sum\limits_{j = 0}^{3n} {{a_j}{x^j}}\), then $$\sum\limits_{j = 0}^{\left[ {{{3n} \over 2}} \right]} {{a_{2j}} + 4} \sum\limits_{j = 0}^{...

Let a complex number z, |z| \(\ne\) 1, satisfy \({\log _{{1 \over {\sqrt 2 }}}}\left( {{{|z| + 11} \over {{{(|z| - 1)}^2}}}} \right) \le 2\). Then, the largest value of |z| is equal to ____________.

Let z and \(\omega\) be two complex numbers such that \(\omega = z\overline z - 2z + 2,\left| {{{z + i} \over {z - 3i}}} \right| = 1\) and Re(\(\omega\)) has minimum value. Then, the minimum value of n \(\in\) N for which \(\omega\)n is re...

Let f : R \(\to\) R be a continuous function such that f(x) + f(x + 1) = 2, for all x\(\in\)R. If \({I_1} = \int\limits_0^8 {f(x)dx}\) and \({I_2} = \int\limits_{ - 1}^3 {f(x)dx}\), then the value of I1 + 2I2 is equal to ____________.

Let f : (0, 2) \(\to\) R be defined as f(x) = log2\(\left( {1 + \tan \left( {{{\pi x} \over 4}} \right)} \right)\). Then, $$\mathop {\lim }\limits_{n \to \infty } {2 \over n}\left( {f\left( {{1 \over n}} \right) + f\left( {{2 \over n}} \r...

If the normal to the curve y(x) = \(\int\limits_0^x {(2{t^2} - 15t + 10)dt}\) at a point (a, b) is parallel to the line x + 3y = \(-\)5, a > 1, then the value of | a + 6b | is equal to ___________.

If y = y(x) is the solution of the differential equation, \({{dy} \over {dx}} + 2y\tan x = \sin x,y\left( {{\pi \over 3}} \right) = 0\), then the maximum value of the function y(x) over R is equal to:

Let the curve y = y(x) be the solution of the differential equation, \({{dy} \over {dx}}\) = 2(x + 1). If the numerical value of area bounded by the curve y = y(x) and x-axis is \({{4\sqrt 8 } \over 3}\), then the value of y(1) is equal to ...

The range of a\(\in\)R for which the function f(x) = (4a \(-\) 3)(x + loge 5) + 2(a \(-\) 7) cot\(\left( {{x \over 2}} \right)\) sin2\(\left( {{x \over 2}} \right)\), x \(\ne\) 2n\(\pi\), n\(\in\)N has critical points, is :

The locus of the midpoints of the chord of the circle, x2 + y2 = 25 which is tangent to the hyperbola, \({{{x^2}} \over 9} - {{{y^2}} \over {16}} = 1\) is :

Let \({S_k} = \sum\limits_{r = 1}^k {{{\tan }^{ - 1}}\left( {{{{6^r}} \over {{2^{2r + 1}} + {3^{2r + 1}}}}} \right)}\). Then \(\mathop {\lim }\limits_{k \to \infty } {S_k}\) is equal to :

Let the functions f : R \(\to\) R and g : R \(\to\) R be defined as :\(f(x) = \left\{ {\matrix{ {x + 2,} & {x < 0} \cr {{x^2},} & {x \ge 0} \cr } } \right.\) and $$g(x) = \left\{ {\matrix{
{{x^3},} & {x < 1} \cr
{3x ...

If \(\mathop {\lim }\limits_{x \to 0} {{a{e^x} - b\cos x + c{e^{ - x}}} \over {x\sin x}} = 2\), then a + b + c is equal to ____________.

Which of the following Boolean expression is a tautology?

Let \(A = \left[ {\matrix{ i & { - i} \cr { - i} & i \cr } } \right],i = \sqrt { - 1}\). Then, the system of linear equations $${A^8}\left[ {\matrix{
x \cr
y \cr

} } \right] = \left[ {\matrix{
8 \cr
{64} \c...

The total number of 3 \(\times\) 3 matrices A having entries from the set {0, 1, 2, 3} such that the sum of all the diagonal entries of AAT is 9, is equal to _____________.