JEE Main 2022 (Online) 25th June Morning Shift

The intermediate X, in the reaction :

In the following reaction :

The compounds A and B respectively are :

Phenol on reaction with dilute nitric acid, gives two products. Which method will be most efficient for large scale separation?

In the following structures, which on is having staggered conformation with maximum dihedral angle?

The IUPAC name of ethylidene chloride is :

Bonding in which of the following diatomic molecule(s) become(s) stronger, on the basis of MO Theory, by removal of an electron?
(A) NO
(B) N2
(C) O2
(D) C2
(E) B2
Choose the most appropriate answer from the options given below :

Number of electron deficient molecules among the following
PH3, B2H6, CCl4, NH3, LiH and BCl3 is

The standard free energy change (\(\Delta\)G\(^\circ\)) for 50% dissociation of N2O4 into NO2 at 27\(^\circ\)C and 1 atm pressure is \(-\) x J mol\(-\)1. The value of x is ___________. (Nearest Integer)
[Given : R = 8.31 J K\(-\)1 mol\(-\)1...

For a given chemical reaction
\(\gamma\)1A + \(\gamma\)2B \(\to\) \(\gamma\)3C + \(\gamma\)4D
Concentration of C changes from 10 mmol dm\(-\)3 to 20 mmol dm\(-\)3 in 10 seconds. Rate of appearance of D is 1.5 times the rate of disappearance...

Which one of the following is an example of artificial sweetner?

The reaction of with bromine and KOH gives RNH2 as the end product. Which one of the following is the intermediate product formed in this reation?

If [Cu(H2O)4]2+ absorbs a light of wavelength 600 nm for d-d transition, then the value of octahedral crystal field splitting energy for [Cu(H2O)6]2+ will be ____________ \(\times\) 10\(-\)21 J. [Nearest Integer]
(Given : h = 6.63 $$\times$...

Cerium (IV) has a noble gas configuration. Which of the following is correct statement about it?

Among the following, which is the strongest oxidizing agent?

In a cell, the following reactions take place
\(\matrix{ {F{e^{2 + }} \to F{e^{3 + }} + {e^ - }} & {E_{F{e^{3 + }}/F{e^{2 + }}}^o = 0.77\,V} \cr {2{I^ - } \to {I_2} + 2{e^ - }} & {E_{{I_2}/{I^ - }}^o = 0.54\,V} \cr }\)
The stan...

The eutrophication of water body results in :

The major product in the reaction

The product formed in the following reaction.

Leaching of gold with dilute aqueous solution of NaCN in presence of oxygen gives complex [A], which on reaction with zinc forms the elemental gold and another complex [B]. [A] and [B], respectively are :

White precipitate of AgCl dissolves in aqueous ammonia solution due to formation of :

Which one of the following alkaline earth metal ions has the highest ionic mobility in its aqueous solution?

The distance between Na+ and Cl\(-\) ions in solid NaCl of density 43.1 g cm\(-\)3 is _______________ \(\times\) 10\(-\)10 m. (Nearest Integer)
(Given : NA = 6.02 \(\times\) 1023 mol\(-\)1)

The number of N atoms in 681 g of C7H5N3O6 is x \(\times\) 1021. The value of x is (NA = 6.02 \(\times\) 1023 mol\(-\)1) (Nearest Integer)

1 L aqueous solution of H2SO4 contains 0.02 m mol H2SO4. 50% of this solution is diluted with deionized water to give 1 L solution (A). In solution (A), 0.01 m mol of H2SO4 are added. Total m mols of H2SO4 in the final solution is _________...

Number of grams of bromine that will completely react with 5.0 g of pent-1-ene is ___________ \(\times\) 10\(-\)2 g. (Atomic mass of Br = 80 g/mol) [Nearest Integer]

The pair, in which ions are isoelectronic with AI3+ is :

The longest wavelength of light that can be used for the ionisation of lithium atom (Li) in its ground state is x \(\times\) 10\(-\)8 m. The value of x is ___________. (Nearest Integer).
(Given : Energy of the electron in the first shell of...

Incorrect statement for Tyndall effect is :

Using very little soap while washing clothes, does not serve the purpose of cleaning of clothes, because :

The standard entropy change for the reaction
4Fe(s) + 3O2(g) \(\to\) 2Fe2O3(s) is \(-\)550 J K\(-\)1 at 298 K.
[Given : The standard enthalpy change for the reaction is \(-\)165 kJ mol\(-\)1]. The temperature in K at which the reaction att...

Let Q be the mirror image of the point P(1, 0, 1) with respect to the plane S : x + y + z = 5. If a line L passing through (1, \(-\)1, \(-\)1), parallel to the line PQ meets the plane S at R, then QR2 is equal to :

Let the lines
\({L_1}:\overrightarrow r = \lambda \left( {\widehat i + 2\widehat j + 3\widehat k} \right),\,\lambda \in R\)
$${L_2}:\overrightarrow r = \left( {\widehat i + 3\widehat j + \widehat k} \right) + \mu \left( {\widehat i + \wi...

If \({1 \over {2\,.\,{3^{10}}}} + {1 \over {{2^2}\,.\,{3^9}}} + \,\,.....\,\, + \,\,{1 \over {{2^{10}}\,.\,3}} = {K \over {{2^{10}}\,.\,{3^{10}}}}\), then the remainder when K is divided by 6 is :

Let Cr denote the binomial coefficient of xr in the expansion of \({(1 + x)^{10}}\). If for \(\alpha\), \(\beta\) \(\in\) R, \({C_1} + 3.2{C_2} + 5.3{C_3} +\) ....... upto 10 terms $$ = {{\alpha \times {2^{11}}} \over {{2^\beta } - 1}}\le...

Let a circle C touch the lines \({L_1}:4x - 3y + {K_1} = 0\) and \({L_2} = 4x - 3y + {K_2} = 0\), \({K_1},{K_2} \in R\). If a line passing through the centre of the circle C intersects L1 at \(( - 1,2)\) and L2 at \((3, - 6)\), then the equ...

Let the abscissae of the two points P and Q be the roots of \(2{x^2} - rx + p = 0\) and the ordinates of P and Q be the roots of \({x^2} - sx - q = 0\). If the equation of the circle described on PQ as diameter is $$2({x^2} + {y^2}) - 11x -...

Let a circle C in complex plane pass through the points \({z_1} = 3 + 4i\), \({z_2} = 4 + 3i\) and \({z_3} = 5i\). If \(z( \ne {z_1})\) is a point on C such that the line through z and z1 is perpendicular to the line through z2 and z3, then...

The value of \(\int\limits_0^\pi {{{{e^{\cos x}}\sin x} \over {(1 + {{\cos }^2}x)({e^{\cos x}} + {e^{ - \cos x}})}}dx}\) is equal to:

Let \(g:(0,\infty ) \to R\) be a differentiable function such that $$\int {\left( {{{x(\cos x - \sin x)} \over {{e^x} + 1}} + {{g(x)\left( {{e^x} + 1 - x{e^x}} \right)} \over {{{({e^x} + 1)}^2}}}} \right)dx = {{x\,g(x)} \over {{e^x} + 1}} +...

Let \(y = y(x)\) be the solution of the differential equation \((x + 1)y' - y = {e^{3x}}{(x + 1)^2}\), with \(y(0) = {1 \over 3}\). Then, the point \(x = - {4 \over 3}\) for the curve \(y = y(x)\) is :

If the solution curve \(y = y(x)\) of the differential equation \({y^2}dx + ({x^2} - xy + {y^2})dy = 0\), which passes through the point (1, 1) and intersects the line \(y = \sqrt 3 x\) at the point \((\alpha ,\sqrt 3 \alpha )\), then value...

Let f : R \(\to\) R be defined as \(f(x) = {x^3} + x - 5\). If g(x) is a function such that \(f(g(x)) = x,\forall 'x' \in R\), then g'(63) is equal to ________________.

Let f : N \(\to\) R be a function such that \(f(x + y) = 2f(x)f(y)\) for natural numbers x and y. If f(1) = 2, then the value of \(\alpha\) for which
\(\sum\limits_{k = 1}^{10} {f(\alpha + k) = {{512} \over 3}({2^{20}} - 1)}\)
holds, is :

Let \(f:R \to R\) and \(g:R \to R\) be two functions defined by \(f(x) = {\log _e}({x^2} + 1) - {e^{ - x}} + 1\) and \(g(x) = {{1 - 2{e^{2x}}} \over {{e^x}}}\). Then, for which of the following range of \(\alpha\), the inequality $$f\left( ...

Let \(f:R \to R\) be a function defined by \(f(x) = {\left( {2\left( {1 - {{{x^{25}}} \over 2}} \right)(2 + {x^{25}})} \right)^{{1 \over {50}}}}\). If the function \(g(x) = f(f(f(x))) + f(f(x))\), then the greatest integer less than or equa...

Let f(x) be a polynomial function such that \(f(x) + f'(x) + f''(x) = {x^5} + 64\). Then, the value of \(\mathop {\lim }\limits_{x \to 1} {{f(x)} \over {x - 1}}\) is equal to:

Consider the following two propositions:
\(P1: \sim (p \to \sim q)\)
\(P2:(p \wedge \sim q) \wedge (( \sim p) \vee q)\)
If the proposition \(p \to (( \sim p) \vee q)\) is evaluated as FALSE, then :

Let A be a 3 \(\times\) 3 real matrix such that
$$A\left( {\matrix{
1 \cr
1 \cr
0 \cr

} } \right) = \left( {\matrix{
1 \cr
1 \cr
0 \cr

} } \right);A\left( {\matrix{
1 \cr
0 \cr
1 \cr

} } \r...

Let \(A = \left[ {\matrix{ 0 & { - 2} \cr 2 & 0 \cr } } \right]\). If M and N are two matrices given by \(M = \sum\limits_{k = 1}^{10} {{A^{2k}}}\) and \(N = \sum\limits_{k = 1}^{10} {{A^{2k - 1}}}\) then MN2 is :

If \(y = {m_1}x + {c_1}\) and \(y = {m_2}x + {c_2}\), \({m_1} \ne {m_2}\) are two common tangents of circle \({x^2} + {y^2} = 2\) and parabola y2 = x, then the value of \(8|{m_1}{m_2}|\) is equal to :