JEE Main 2022 (Online) 24th June Evening Shift

Hex-4-ene-2-ol on treatment with PCC gives 'A'. 'A' on reaction with sodium hypoiodite gives 'B', which on further heating with soda lime gives 'C'. The compound 'C' is :

Arrange the following carbocations in decreasing order of stability.

In alanylglycyl leucyl alanyl valine, the number of peptide linkages is ___________.

The correct order of bond orders of \({C_2}^{2 - }\), \({N_2}^{2 - }\) and \({O_2}^{2 - }\) is, respectively

PCl5 dissociates as
PCl5(g) \(\rightleftharpoons\) PCl3(g) + Cl2(g)
5 moles of PCl5 are placed in a 200 litre vessel which contains 2 moles of N2 and is maintained at 600 K. The equilibrium pressure is 2.46 atm. The equilibrium constant Kp ...

For a first order reaction, the time required for completion of 90% reaction is 'x' times the half life of the reaction. The value of 'x' is
(Given : ln 10 = 2.303 and log 2 = 0.3010)

The structure shown below is of which well-known drug molecule?

The conversion of propan-1-ol to n-butylamine involves the sequential addition of reagents. The correct sequential order of reagents is

Transition metal complex with highest value of crystal field splitting (\(\Delta\)0) will be :

Metals generally melt at very high temperature. Amongst the following, the metal with the highest melting point will be :

Manganese (VI) has ability to disproportionate in acidic solution. The difference in oxidation states of two ions it forms in acidic solution is ____________.

The resistance of a conductivity cell containing 0.01 M KCl solution at 298 K is 1750 \(\Omega\). If the conductivity of 0.01 M KCl solution at 298 K is 0.152 \(\times\) 10\(-\)3 S cm\(-\)1, then the cell constant of the conductivity cell i...

Some gases are responsible for heating of atmosphere (green house effect). Identify from the following the gaseous species which does not cause it.

At 300 K, a sample of 3.0 g of gas A occupies the same volume as 0.2 g of hydrogen at 200 K at the same pressure. The molar mass of gas A is ____________ g mol\(-\)1. (nearest integer) Assume that the behaviour of gases as ideal.
(Given : T...

Consider the above reaction. The number of \(\pi\) electrons present in the product 'P' is __________.

Given below are two statements :
Statement I : The presence of weaker \(\pi\)-bonds make alkenes less stable than alkanes.
Statement II : The strength of the double bond is greater than that of carbon-carbon single bond.
In the light of the...

Which of the following reagents / reactions will convert 'A' to 'B' ?

Which of the following chemical reactions represents Hall-Heroult Process?

(a) Baryte, (b) Galena, (c) Zinc blende and (d) Copper pyrites. How many of these minerals are sulphide based?

PCl5 is well known, but NCl5 is not. because,

Which of the following is not an example of a condensation polymer?

0.2 g of an organic compound was subjected to estimation of nitrogen by Dumas method in which volume of N2 evolved (at STP) was found to be 22.400 mL. The percentage of nitrogen in the compound is _________. [nearest integer]
(Given : Molar...

In the industrial production of which of the following, molecular hydrogen is obtained as a byproduct?

Which one of the following compounds is used as a chemical in certain type of fire extinguishers?

In the flame test of a mixture of salts, a green flame with blue centre was observed. Which one of the following cations may be present?

A company dissolves 'x' amount of CO2 at 298 K in 1 litre of water to prepare soda water. X = __________ \(\times\) 10\(-\)3 g. (nearest integer)
(Given : partial pressure of CO2 at 298 K = 0.835 bar.
Henry's law constant for CO2 at 298 K =...

120 g of an organic compound that contains only carbon and hydrogen gives 330 g of CO2 and 270 g of water on complete combustion. The percentage of carbon and hydrogen, respectively are

The energy of one mole of photons of radiation of wavelength 300 nm is (Given : h = 6.63 \(\times\) 10\(-\)34 J s, NA = 6.02 \(\times\) 1023 mol\(-\)1, c = 3 \(\times\) 108 m s\(-\)1)

When 200 mL of 0.2 M acetic acid is shaken with 0.6 g of wood charcoal, the final concentration of acetic acid after adsorption is 0.1 M. The mass of acetic acid adsorbed per gram of carbon is ____________ g.

At 25\(^\circ\)C and 1 atm pressure, the enthalpies of combustion are as given below :

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If the shortest distance between the lines \({{x - 1} \over 2} = {{y - 2} \over 3} = {{z - 3} \over \lambda }\) and \({{x - 2} \over 1} = {{y - 4} \over 4} = {{z - 5} \over 5}\) is \({1 \over {\sqrt 3 }}\), then the sum of all possible valu...

Let the points on the plane P be equidistant from the points (\(-\)4, 2, 1) and (2, \(-\)2, 3). Then the acute angle between the plane P and the plane 2x + y + 3z = 1 is :

The slope of normal at any point (x, y), x > 0, y > 0 on the curve y = y(x) is given by \({{{x^2}} \over {xy - {x^2}{y^2} - 1}}\). If the curve passes through the point (1, 1), then e . y(e) is equal to

Let \(\lambda\)\(^ *\) be the largest value of \(\lambda\) for which the function \({f_\lambda }(x) = 4\lambda {x^3} - 36\lambda {x^2} + 36x + 48\) is increasing for all x \(\in\) R. Then $${f_{{\lambda ^ * }}}(1) + {f_{{\lambda ^ * }}}( -...

The area (in sq. units) of the region enclosed between the parabola y2 = 2x and the line x + y = 4 is __________.

The remainder on dividing 1 + 3 + 32 + 33 + ..... + 32021 by 50 is _________.

Let a circle C : (x \(-\) h)2 + (y \(-\) k)2 = r2, k > 0, touch the x-axis at (1, 0). If the line x + y = 0 intersects the circle C at P and Q such that the length of the chord PQ is 2, then the value of h + k + r is equal to ___________.

Let S = {z \(\in\) C : |z \(-\) 3| \(\le\) 1 and z(4 + 3i) + \(\overline z\)(4 \(-\) 3i) \(\le\) 24}. If \(\alpha\) + i\(\beta\) is the point in S which is closest to 4i, then 25(\(\alpha\) + \(\beta\)) is equal to ___________.

The value of the integral \(\int\limits_{ - \pi /2}^{\pi /2} {{{dx} \over {(1 + {e^x})({{\sin }^6}x + {{\cos }^6}x)}}}\) is equal to

\(\mathop {\lim }\limits_{n \to \infty } \left( {{{{n^2}} \over {({n^2} + 1)(n + 1)}} + {{{n^2}} \over {({n^2} + 4)(n + 2)}} + {{{n^2}} \over {({n^2} + 9)(n + 3)}} + \,\,....\,\, + \,\,{{{n^2}} \over {({n^2} + {n^2})(n + n)}}} \right)\) is ...

If \(y = {\tan ^{ - 1}}\left( {\sec {x^3} - \tan {x^3}} \right),{\pi \over 2} < {x^3} < {{3\pi } \over 2}\), then

Let the maximum area of the triangle that can be inscribed in the ellipse \({{{x^2}} \over {{a^2}}} + {{{y^2}} \over 4} = 1,\,a > 2\), having one of its vertices at one end of the major axis of the ellipse and one of its sides parallel to t...

Let the hyperbola \(H:{{{x^2}} \over {{a^2}}} - {y^2} = 1\) and the ellipse \(E:3{x^2} + 4{y^2} = 12\) be such that the length of latus rectum of H is equal to the length of latus rectum of E. If \({e_H}\) and \({e_E}\) are the eccentriciti...

Let \(x * y = {x^2} + {y^3}\) and \((x * 1) * 1 = x * (1 * 1)\).
Then a value of \(2{\sin ^{ - 1}}\left( {{{{x^4} + {x^2} - 2} \over {{x^4} + {x^2} + 2}}} \right)\) is :

Let \(f(x) = \left\{ {\matrix{ {{{\sin (x - [x])} \over {x - [x]}}} & {,\,x \in ( - 2, - 1)} \cr {\max \{ 2x,3[|x|]\} } & {,\,|x| < 1} \cr 1 & {,\,otherwise} \cr } } \right.\)
where [t] denotes greatest integer \(\le\) t. I...

Consider the following statements:
A : Rishi is a judge.
B : Rishi is honest.
C : Rishi is not arrogant.
The negation of the statement "if Rishi is a judge and he is not arrogant, then he is honest" is

Let the system of linear equations
x + y + \(\alpha\)z = 2
3x + y + z = 4
x + 2z = 1
have a unique solution (x\(^ *\), y\(^ *\), z\(^ *\)). If (\(\alpha\), x\(^ *\)), (y\(^ *\), \(\alpha\)) and (x\(^ *\), \(-\)y\(^ *\)) are collinear...

Let \(S = \left\{ {\left( {\matrix{ { - 1} & a \cr 0 & b \cr } } \right);a,b \in \{ 1,2,3,....100\} } \right\}\) and let \({T_n} = \{ A \in S:{A^{n(n + 1)}} = I\}\). Then the number of elements in $$\bigcap\limits_{n = 1}^{100}...

A particle is moving in the xy-plane along a curve C passing through the point (3, 3). The tangent to the curve C at the point P meets the x-axis at Q. If the y-axis bisects the segment PQ, then C is a parabola with :

Let P1 be a parabola with vertex (3, 2) and focus (4, 4) and P2 be its mirror image with respect to the line x + 2y = 6. Then the directrix of P2 is x + 2y = ____________.