JEE Main 2021 (Online) 26th August Morning Shift

The correct options for the products A and B of the following reactions are :

The major products formed in the following reaction sequence A and B are :

The correct sequential addition of reagents in the preparation of 3-nitrobenzoic acid from benzene is :

The total number of negative charge in the tetrapeptide, Gly-Glu-Asp-Tyr, at pH 12.5 will be ______________. (Integer answer)

AB3 is an interhalogen T-shaped molecule. The number of lone pairs of electrons on A is __________. (Integer answer)

The OH\(-\) concentration in a mixture of 5.0 mL of 0.0504 M NH4Cl and 2 mL of 0.0210 M NH3 solution is x \(\times\) 10\(-\)6 M. The value of x is ___________. (Nearest integer)[Given Kw = 1 \(\times\) 10\(-\)14 and Kb = 1.8 \(\times\) 10$$...

The following data was obtained for chemical reaction given below at 975 K.2NO(g) + 2H2(g) \(\to\) N2(g) + 2H2O(g)The order of the reaction with respect to NO is ___________. [Integer answer]

The major product formed in the following reaction is :

The ratio of number of water molecules in Mohr's salt and potash alum is ____________ \(\times\) 10\(-\)1. (Integer answer)

Which one of the following when dissolved in water gives coloured solution in nitrogen atmosphere?

The number of 4f electrons in the ground statement electronic configuration of Gd2+ is ___________. [Atomic number of Gd = 64]

Given below are two statements :Statement I : The limiting molar conductivity of KCl (strong electrolyte) is higher compared to that of CH3COOH (weak electrolyte).Statement II : Molar conductivity decreases with decrease in concentration of...

These are physical properties of an element(A) Sublimation enthalpy(B) Ionisation enthalpy(C) Hydration enthalpy(D) Electron gain enthalpyThe total number of above properties that affect the reduction potential is ____________ (Integer answ...

The conversion of hydroxyapatite occurs due to presence of F\(-\) ions in water. The correct formula of hydroxyapatite is :

The major product formed in the following reaction is :

Among the following compounds I-IV, which one forms a yellow precipitate on reacting sequentially with (i) NaOH (ii) dil. HNO3 (iii) AgNO3?

Excess of isobutane on reaction with Br2 in presence of light at 125\(^\circ\)C gives which one of the following, as the major product?

Which one of the following methods is most suitable for preparing deionized water?

Given below are two statements.Statement I : In the titration between strong acid and weak base methyl orange is suitable as an indicator.Statement II : For titration of acetic acid with NaOH phenolphthalein is not a suitable indicator.In t...

Given below are two statements :Statement I : The choice of reducing agents for metals extraction can be made by using Ellingham diagram, a plot of \(\Delta\)G vs temperature.Statement II : The value of \(\Delta\)S increases from left to ri...

The incorrect statement is :

The polymer formed on heating Novolac with formaldehyde is :

Which one of the following complexes is violet in colour?

What are the products formed in sequence when excess of CO2 is passed in slaked lime?

Given below are two statements.Statement I : Frenkel defects are vacancy as well as interstitial defects.Statement II : Frenkel defect leads to colour in ionic solids due to presence of F-centres.Choose the most appropriate answer for the s...

Of the following four aqueous solutions, total number of those solutions whose freezing point is lower than that of 0.10 M C2H5OH is __________ (Integer answer)(i) 0.10 M Ba3(PO4)2(ii) 0.10 M Na2SO4(iii) 0.10 M KCl(iv) 0.10 M Li3PO4

An aqueous KCl solution of density 1.20 g mL\(-\)1 has a molality of 3.30 mol kg\(-\)1. The molarity of the solution in mol L\(-\)1 is ____________ (Nearest integer) [Molar mass of KCl = 74.5]

Given below are two statements.Statement I : According to Bohr's model of an atom, qualitatively the magnitude of velocity of electron increases with decrease in positive charges on the nucleus as there is no strong hold on the electron by ...

Which one of the following is correct for the adsorption of a gas at a given temperature on a solid surface?

The Born-Haber cycle for KCl is evaluated with the following data :\({\Delta _f}{H^\Theta }\) for KCl = \(-\)436.7 kJ mol\(-\)1 ;\({\Delta _{sub}}{H^\Theta }\) for K = 89.2 kJ mol\(-\)1 ;\({\Delta _{ionization}}{H^\Theta }\) for K = 419.0 k...

A plane P contains the line \(x + 2y + 3z + 1 = 0 = x - y - z - 6\), and is perpendicular to the plane \(- 2x + y + z + 8 = 0\). Then which of the following points lies on P?

Let the line L be the projection of the line \({{x - 1} \over 2} = {{y - 3} \over 1} = {{z - 4} \over 2}\) in the plane x \(-\) 2y \(-\) z = 3. If d is the distance of the point (0, 0, 6) from L, then d2 is equal to _______________.

A wire of length 36 m is cut into two pieces, one of the pieces is bent to form a square and the other is bent to form a circle. If the sum of the areas of the two figures is minimum, and the circumference of the circle is k (meter), then $...

The area of the region \(S = \{ (x,y):3{x^2} \le 4y \le 6x + 24\}\) is ____________.

If \({{}^{20}{C_r}}\) is the co-efficient of xr in the expansion of (1 + x)20, then the value of \(\sum\limits_{r = 0}^{20} {{r^2}.{}^{20}{C_r}}\) is equal to :

If a line along a chord of the circle 4x2 + 4y2 + 120x + 675 = 0, passes through the point (\(-\)30, 0) and is tangent to the parabola y2 = 30x, then the length of this chord is :

The locus of a point, which moves such that the sum of squares of its distances from the points (0, 0), (1, 0), (0, 1), (1, 1) is 18 units, is a circle of diameter d. Then d2 is equal to _____________.

The equation \(\arg \left( {{{z - 1} \over {z + 1}}} \right) = {\pi \over 4}\) represents a circle with :

Let \(z = {{1 - i\sqrt 3 } \over 2}\), \(i = \sqrt { - 1}\). Then the value of $$21 + {\left( {z + {1 \over z}} \right)^3} + {\left( {{z^2} + {1 \over {{z^2}}}} \right)^3} + {\left( {{z^3} + {1 \over {{z^3}}}} \right)^3} + .... + {\left( {...

The value of \(\int\limits_{{{ - 1} \over {\sqrt 2 }}}^{{1 \over {\sqrt 2 }}} {{{\left( {{{\left( {{{x + 1} \over {x - 1}}} \right)}^2} + {{\left( {{{x - 1} \over {x + 1}}} \right)}^2} - 2} \right)}^{{1 \over 2}}}dx}\) is :

The value of \(\mathop {\lim }\limits_{n \to \infty } {1 \over n}\sum\limits_{r = 0}^{2n - 1} {{{{n^2}} \over {{n^2} + 4{r^2}}}}\) is :

Let y = y(x) be a solution curve of the differential equation \((y + 1){\tan ^2}x\,dx + \tan x\,dy + y\,dx = 0\), \(x \in \left( {0,{\pi \over 2}} \right)\). If \(\mathop {\lim }\limits_{x \to 0 + } xy(x) = 1\), then the value of $$y\left(...

Let \(f(x) = \cos \left( {2{{\tan }^{ - 1}}\sin \left( {{{\cot }^{ - 1}}\sqrt {{{1 - x} \over x}} } \right)} \right)\), 0 < x < 1. Then :

If y = y(x) is an implicit function of x such that loge(x + y) = 4xy, then \({{{d^2}y} \over {d{x^2}}}\) at x = 0 is equal to ___________.

On the ellipse \({{{x^2}} \over 8} + {{{y^2}} \over 4} = 1\) let P be a point in the second quadrant such that the tangent at P to the ellipse is perpendicular to the line x + 2y = 0. Let S and S' be the foci of the ellipse and e be its ecc...

Let a, b \(\in\) R, b \(\in\) 0, Define a function \(f(x) = \left\{ {\matrix{ {a\sin {\pi \over 2}(x - 1),} & {for\,x \le 0} \cr {{{\tan 2x - \sin 2x} \over {b{x^3}}},} & {for\,x > 0} \cr } } \right.\). If f is continuous at x ...

If the truth value of the Boolean expression \(\left( {\left( {p \vee q} \right) \wedge \left( {q \to r} \right) \wedge \left( { \sim r} \right)} \right) \to \left( {p \wedge q} \right)\) is false, then the truth values of the statements p,...

Let \(\theta \in \left( {0,{\pi \over 2}} \right)\). If the system of linear equations\((1 + {\cos ^2}\theta )x + {\sin ^2}\theta y + 4\sin 3\,\theta z = 0\)\({\cos ^2}\theta x + (1 + {\sin ^2}\theta )y + 4\sin 3\,\theta z = 0\)$${\cos ^2...

If \(A = \left( {\matrix{ {{1 \over {\sqrt 5 }}} & {{2 \over {\sqrt 5 }}} \cr {{{ - 2} \over {\sqrt 5 }}} & {{1 \over {\sqrt 5 }}} \cr } } \right)\), \(B = \left( {\matrix{ 1 & 0 \cr i & 1 \cr } } \right)\), $$i = \s...

If \({}^1{P_1} + 2.{}^2{P_2} + 3.{}^3{P_3} + .... + 15.{}^{15}{P_{15}} = {}^q{P_r} - s,0 \le s \le 1\), then \({}^{q + s}{C_{r - s}}\) is equal to ______________.