JEE Main 2021 (Online) 17th March Evening Shift

The total number of C-C sigma bond/s in mesityl oxide (C6H10O) is __________. (Round off to the Nearest Integer).

Nitrogen can be estimated by Kjeldahl's method for which of the following compound?

Fructose is an example of :

\({C_{12}}{H_{22}}{O_{11}} + {H_2}O\buildrel {Enzyme\,A} \over \longrightarrow \mathop {{C_6}{H_{12}}{O_6}}\limits_{Glu\cos e} + \mathop {{C_6}{H_{12}}{O_6}}\limits_{Fructose}\)$$\mathop {{C_6}{H_{12}}{O_6}}\limits_{Glu\cos e} \buildrel ...

Amongst the following, the linear species is :

Consider the reaction \(N_{2}O_{4}\left( g\right) \rightleftharpoons 2NO_{2}\left( g\right)\)The temperature at which KC = 20.4 and KP = 600.1, is ____________ K. (Round off to the Nearest Integer). [Assume all gases are ideal and R = 0...

The reaction 2A + B2 \(\to\) 2AB is an elementary reaction.For a certain quantity of reactants, if the volume of the reaction vessel is reduced by a factor of 3, the rate of the reaction increases by a factor of ____________. (Round off t...

Match List - I with List - II.



List - IChemical Compound

List - IIUsed as




(a)
Sucralose
(i)
Synthetic detergent


(b)
Glyceryl ester of stearic acid
(ii)
Artificial sweetener...

In the above reaction, the structural formula of (A), ''X'' and ''Y'' respectively are :

Primary, secondary and tertiary amines can be separated using:

On complete reaction of FeCl3 with oxalic acid in aqueous solution containing KOH, resulted in the formation of product A. The secondary valency of Fe in the product A is __________. (Round off to the Nearest Integer).

Match List - I with List - II :



List - I

List - II




(a)
\([Co{(N{H_3})_6}][Cr{(CN)_6}]\)
(i)
Linkage isomerism


(b)
\([Co{(N{H_3})_3}{(N{O_2})_3}]\)
(ii)
Solvate isomerism
...

The common positive oxidation states for an element with atomic number 24, are :

In the ground state of atomic Fe(Z = 26), the spin-only magnetic moment is ____________ \(\times\) 10\(-\)1 BM. (Round off to the Nearest Integer). [Given : \(\sqrt 3\) = 1.73, \(\sqrt 2\) = 1.41 ]

A KCl solution of conductivity 0.14 S m\(-\)1 shows a resistance of 4.19\(\Omega\) in a conductivity cell. If the same cell is filled with an HCl solution, the resistance drops to 1.03\(\Omega\). The conductivity of the HCl solution is ____...

Which of the following statement(s) is (are) incorrect reason for eutrophication?(A) excess usage of fertilisers(B) excess usage of detergents(C) dense plant population in water bodies(D) lack of nutrients in water bodies that prevent plant...

The number of chlorine atoms in 20 mL of chlorine gas at STP is _________ 1021. (Round off to the Nearest Integer).[Assume chlorine is an ideal gas at STPR = 0.083 L bar mol\(-\)1 K\(-\)1, NA = 6.023 \(\times\) 1023]

The correct pair(s) of the ambident nucleophiles is(are)(A) AgCN/KCN(B) RCOOAg/RCOOK(C) AgNO2/KNO2(D) AgI/KI

Choose the correct statement regarding the formation of carbocations A and B given.

Given below are two statements :Statement I : 2-methylbutane on oxidation with KMnO4 gives 2-methylbutan-2-ol.Statement II : n-alkanes can be easily oxidised to corresponding alcohols with KMnO4.Choose the correct option :

The functional groups that are responsible for the ion-exchange property of cation and anion exchange resins, respectively, are :

Match List - I with List - II :



List - I

List - II




(a)
Haematite
(i)
\(A{l_2}{O_3}\,.\,x{H_2}O\)


(b)
Bauxite
(ii)
\(F{e_2}{O_3}\)


(c)
Magnetite
(iii)
...

The set that represents the pair of neutral oxides of nitrogen is :

The set of elements that differ in mutual relationship from those of the other sets is :

One of the by-products formed during the recovery of NH3 from Solvay process is :

KBr is doped with 10\(-\)5 mole percent of SrBr2. The number of cationic vacancies in 1g of KBr crystal is ____________ 1014. (Round off to the Nearest Integer).[Atomic Mass : K : 39.1 u, Br : 79.9 u NA = 6.023 \(\times\) 1023]

A 1 molal K4Fe(CN)6 solution has a degree of dissociation of 0.4. Its boiling point is equal to that of another solution which contains 18.1 weight percent of a non electrolytic solute A. The molar mass of A is __________ u. (Round off to t...

Consider the above reaction. The percentage yield of amide product is __________. (Round off to the Nearest Integer).(Given : Atomic mass : C : 12.0 u, H : 1.0 u, N : 14.0 u, O : 16.0 u, Cl : 35.5 u)

For the coagulation of a negative sol, the species below, that has the highest flocculating power is :

During which of the following processes, does entropy decrease?(A) Freezing of water to ice at 0\(^\circ\)C(B) Freezing of water to ice at \(-\)10\(^\circ\)C(C) N2(g) + 3H2(g) \(\to\) 2NH3(g)(D) Adsorption of CO(g) on lead surface.(E) Dis...

If the equation of plane passing through the mirror image of a point (2, 3, 1) with respect to line \({{x + 1} \over 2} = {{y - 3} \over 1} = {{z + 2} \over { - 1}}\) and containing the line $${{x - 2} \over 3} = {{1 - y} \over 2} = {{z + 1...

Let P be an arbitrary point having sum of the squares of the distances from the planes x + y + z = 0, lx \(-\) nz = 0 and x \(-\) 2y + z = 0, equal to 9. If the locus of the point P is x2 + y2 + z2 = 9, then the value of l \(-\) n is equal ...

Consider the function f : R \(\to\) R defined by
\(f(x) = \left\{ \matrix{ \left( {2 - \sin \left( {{1 \over x}} \right)} \right)|x|,x \ne 0 \hfill \cr 0,\,\,x = 0 \hfill \cr} \right.\). Then f is :

Let f : [\(-\)1, 1] \(\to\) R be defined as f(x) = ax2 + bx + c for all x\(\in\)[\(-\)1, 1], where a, b, c\(\in\)R such that f(\(-\)1) = 2, f'(\(-\)1) = 1 for x\(\in\)(\(-\)1, 1) the maximum value of f ''(x) is \({{1 \over 2}}\). If f(x) ...

Let f : [\(-\)3, 1] \(\to\) R be given as \(f(x) = \left\{ \matrix{ \min \,\{ (x + 6),{x^2}\}, - 3 \le x \le 0 \hfill \cr \max \,\{ \sqrt x ,{x^2}\} ,\,0 \le x \le 1. \hfill \cr} \right.\)If the area bounded by y = f(x) and x-axis i...

Let the coefficients of third, fourth and fifth terms in the expansion of \({\left( {x + {a \over {{x^2}}}} \right)^n},x \ne 0\), be in the ratio 12 : 8 : 3. Then the term independent of x in the expansion, is equal to ___________.

The value of \(\sum\limits_{r = 0}^6 {\left( {{}^6{C_r}\,.\,{}^6{C_{6 - r}}} \right)}\) is equal to :

Two tangents are drawn from a point P to the circle x2 + y2 \(-\) 2x \(-\) 4y + 4 = 0, such that the angle between these tangents is \({\tan ^{ - 1}}\left( {{{12} \over 5}} \right)\), where \({\tan ^{ - 1}}\left( {{{12} \over 5}} \right)\) ...

Let the tangent to the circle x2 + y2 = 25 at the point R(3, 4) meet x-axis and y-axis at points P and Q, respectively. If r is the radius of the circle passing through the origin O and having centre at the incentre of the triangle OPQ, the...

Let S1, S2 and S3 be three sets defined asS1 = {z\(\in\)C : |z \(-\) 1| \(\le\) \(\sqrt 2\)}S2 = {z\(\in\)C : Re((1 \(-\) i)z) \(\ge\) 1}S3 = {z\(\in\)C : Im(z) \(\le\) 1}Then the set S1 \(\cap\) S2 \(\cap\) S3 :

Let f : R \(\to\) R be defined as f(x) = e\(-\)xsinx. If F : [0, 1] \(\to\) R is a differentiable function with that F(x) = \(\int_0^x {f(t)dt}\), then the value of \(\int_0^1 {(F'(x) + f(x)){e^x}dx}\) lies in the interval

Let \({I_n} = \int_1^e {{x^{19}}{{(\log |x|)}^n}} dx\), where n\(\in\)N. If (20)I10 = \(\alpha\)I9 + \(\beta\)I8, for natural numbers \(\alpha\) and \(\beta\), then \(\alpha\) \(-\) \(\beta\) equals to ___________.

If the integral
\(\int_0^{10} {{{[\sin 2\pi x]} \over {{e^{x - [x]}}}}} dx = \alpha {e^{ - 1}} + \beta {e^{ - {1 \over 2}}} + \gamma\), where \(\alpha\), \(\beta\), \(\gamma\) are integers and [x] denotes the greatest integer less than or...

Let y = y(x) be the solution of the differential equation \(\cos x(3\sin x + \cos x + 3)dy = (1 + y\sin x(3\sin x + \cos x + 3))dx,0 \le x \le {\pi \over 2},y(0) = 0\). Then, \(y\left( {{\pi \over 3}} \right)\) is equal to :

If the curve y = y(x) is the solution of the differential equation \(2({x^2} + {x^{5/4}})dy - y(x + {x^{1/4}})dx = {2x^{9/4}}dx\), x > 0 which passes through the point \(\left( {1,1 - {4 \over 3}{{\log }_e}2} \right)\), then the value of y(...

The number of solutions of the equation \({\sin ^{ - 1}}\left[ {{x^2} + {1 \over 3}} \right] + {\cos ^{ - 1}}\left[ {{x^2} - {2 \over 3}} \right] = {x^2}\), for x\(\in\)[\(-\)1, 1], and [x] denotes the greatest integer less than or equal to...

The value of the limit \(\mathop {\lim }\limits_{\theta \to 0} {{\tan (\pi {{\cos }^2}\theta )} \over {\sin (2\pi {{\sin }^2}\theta )}}\) is equal to :

The value of \(\mathop {\lim }\limits_{n \to \infty } {{[r] + [2r] + ... + [nr]} \over {{n^2}}}\), where r is a non-zero real number and [r] denotes the greatest integer less than or equal to r, is equal to :

If the Boolean expression \((p \wedge q) \odot (p \otimes q)\) is a tautology, then \(\odot\) and \(\otimes\) are respectively given by :

If x, y, z are in arithmetic progression with common difference d, x \(\ne\) 3d, and the determinant of the matrix \(\left[ {\matrix{ 3 & {4\sqrt 2 } & x \cr 4 & {5\sqrt 2 } & y \cr 5 & k & z \cr } } \right]\) is zero, then...