JEE Main 2023 (Online) 1st February Evening Shift

The graph which represents the following reaction is :

In a reaction,

reagents 'X' and 'Y' respectively are :

The structures of major products A, B and C in the following reaction are sequence.

All structures given below are of vitamin C. Most stable of them is :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : \(\alpha\)-halocarboxylic acid on reaction with dil. \(\mathrm{NH_3}\) gives good yield of \(\alpha\)-amino carboxyli...

Testosterone, which is a steroidal hormone, has the following structure.

The total number of asymmetric carbon atom/s in testosterone is ____________.

\(\mathrm{O}-\mathrm{O}\) bond length in \(\mathrm{H}_{2} \mathrm{O}_{2}\) is \(\underline{\mathrm{X}}\) than the \(\mathrm{O}-\mathrm{O}\) bond length in \(\mathrm{F}_{2} \mathrm{O}_{2}\). The \(\mathrm{O}-\mathrm{H}\) bond length in $$\ma...

The effect of addition of helium gas to the following reaction in equilibrium state, is :
\(\mathrm{PCl}_{5}(\mathrm{g}) \rightleftharpoons \mathrm{PCl}_{3}(\mathrm{g})+\mathrm{Cl}_{2}(\mathrm{g})\)

\(\mathrm{A}\) \(\rightarrow \mathrm{B}\)
The above reaction is of zero order. Half life of this reaction is \(50 \mathrm{~min}\). The time taken for the concentration of \(\mathrm{A}\) to reduce to one-fourth of its initial value is ______...

Among the following, the number of tranquilizer/s is/are ___________.
A. Chloroliazepoxide
B. Veronal
C. Valium
D. Salvarsan

The complex cation which has two isomers is :

The spin only magnetic moment of \(\left[\mathrm{Mn}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]^{2+}\) complexes is _________ B.M. (Nearest integer)
(Given : Atomic no. of Mn is 25)

Which element is not present in Nessler's reagent?

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : \(\mathrm{Cu^{2+}}\) in water is more stable than \(\mathrm{Cu^{+}}\).
Reason (R) : Enthalpy of hydration for $$\math...

Among following compounds, the number of those present in copper matte is ___________.
A. \(\mathrm{CuCO_{3}}\)
B. \(\mathrm{Cu_{2}S}\)
C. \(\mathrm{Cu_{2}O}\)
D. \(\mathrm{FeO}\)

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R)
Assertion (A) : An aqueous solution of \(\mathrm{KOH}\) when used for volumetric analysis, its concentration should be checked before ...

\(1 \times 10^{-5} ~\mathrm{M} ~\mathrm{AgNO}_{3}\) is added to \(1 \mathrm{~L}\) of saturated solution of \(\mathrm{AgBr}\). The conductivity of this solution at \(298 \mathrm{~K}\) is _____________ $$\times 10^{-8} \mathrm{~S} \mathrm{~m}...

The industrial activity held least responsible for global warming is :

'\(\mathrm{X}\)' is :

The starting material for convenient preparation of deuterated hydrogen peroxide (\(\mathrm{D_{2}O_{2}}\)) in :

The correct order of bond enthalpy (\(\mathrm{kJ~mol^{-1}}\)) is :

For electron gain enthalpies of the elements denoted as \(\Delta_{\mathrm{eg}} \mathrm{H}\), the incorrect option is :

Given below are two statements :
Statement I : Sulphanilic acid gives esterification test for carboxyl group.
Statement II : Sulphanilic acid gives red colour in Lassigne's test for extra element detection.
In the light of the above stateme...

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A) : Gypsum is used for making fireproof wall boards.
Reason (R) : Gypsum is unstable at high temperatures.
In the light o...

A metal M crystallizes into two lattices :- face centred cubic (fcc) and body centred cubic (bcc) with unit cell edge length of \(2.0\) and \(2.5\,\mathop A\limits^o\) respectively. The ratio of densities of lattices fcc to bcc for the met...

\(20 \%\) of acetic acid is dissociated when its \(5 \mathrm{~g}\) is added to \(500 \mathrm{~mL}\) of water. The depression in freezing point of such water is _________ \(\times 10^{-3}{ }^{\circ} \mathrm{C}\).
Atomic mass of $$\mathrm{C},...

The molality of a \(10 \%(\mathrm{v} / \mathrm{v})\) solution of di-bromine solution in \(\mathrm{CCl}_{4}\) (carbon tetrachloride) is '\(x\)'. \(x=\) ____________ \(\times 10^{-2} ~\mathrm{M}\). (Nearest integer)
[Given : molar mass of $$\...

Which one of the following sets of ions represents a collection of isoelectronic species?
(Given : Atomic Number : \(\mathrm{F:9,Cl:17,Na=11,Mg=12,Al=13,K=19,Ca=20,Sc=21}\))

In figure, a straight line is given for Freundrich Adsorption (\(y=3x+2.505\)). The value of \(\frac{1}{n}\) and \(\log \mathrm{K}\) are respectively.

\(0.3 \mathrm{~g}\) of ethane undergoes combustion at \(27^{\circ} \mathrm{C}\) in a bomb calorimeter. The temperature of calorimeter system (including the water) is found to rise by \(0.5^{\circ} \mathrm{C}\). The heat evolved during combu...

Let the plane P pass through the intersection of the planes \(2x+3y-z=2\) and \(x+2y+3z=6\), and be perpendicular to the plane \(2x+y-z+1=0\). If d is the distance of P from the point (\(-\)7, 1, 1), then \(\mathrm{d^{2}}\) is equal to :

The point of intersection \(\mathrm{C}\) of the plane \(8 x+y+2 z=0\) and the line joining the points \(\mathrm{A}(-3,-6,1)\) and \(\mathrm{B}(2,4,-3)\) divides the line segment \(\mathrm{AB}\) internally in the ratio \(\mathrm{k}: 1\). If ...

Let \(\alpha x+\beta y+\gamma z=1\) be the equation of a plane passing through the point \((3,-2,5)\) and perpendicular to the line joining the points \((1,2,3)\) and \((-2,3,5)\). Then the value of \(\alpha \beta y\) is equal to __________...

The sum of the absolute maximum and minimum values of the function \(f(x)=\left|x^{2}-5 x+6\right|-3 x+2\) in the interval \([-1,3]\) is equal to :

The area of the region given by \(\{ (x,y):xy \le 8,1 \le y \le {x^2}\}\) is :

Let the sixth term in the binomial expansion of \({\left( {\sqrt {{2^{{{\log }_2}\left( {10 - {3^x}} \right)}}} + \root 5 \of {{2^{(x - 2){{\log }_2}3}}} } \right)^m}\) in the increasing powers of \(2^{(x-2) \log _{2} 3}\), be 21 . If the ...

If the term without \(x\) in the expansion of \(\left(x^{\frac{2}{3}}+\frac{\alpha}{x^{3}}\right)^{22}\) is 7315 , then \(|\alpha|\) is equal to ___________.

Let \(a,b\) be two real numbers such that \(ab < 0\). IF the complex number \(\frac{1+ai}{b+i}\) is of unit modulus and \(a+ib\) lies on the circle \(|z-1|=|2z|\), then a possible value of \(\frac{1+[a]}{4b}\), where \([t]\) is greatest int...

The value of the integral \(\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{x + {\pi \over 4}} \over {2 - \cos 2x}}dx}\) is :

If \(\int\limits_0^\pi {{{{5^{\cos x}}(1 + \cos x\cos 3x + {{\cos }^2}x + {{\cos }^3}x\cos 3x)dx} \over {1 + {5^{\cos x}}}} = {{k\pi } \over {16}}}\), then k is equal to _____________.

Let \(\alpha x=\exp \left(x^{\beta} y^{\gamma}\right)\) be the solution of the differential equation \(2 x^{2} y \mathrm{~d} y-\left(1-x y^{2}\right) \mathrm{d} x=0, x > 0,y(2)=\sqrt{\log _{e} 2}\). Then \(\alpha+\beta-\gamma\) equals :

If \(y(x)=x^{x},x > 0\), then \(y''(2)-2y'(2)\) is equal to

The line \(x=8\) is the directrix of the ellipse \(\mathrm{E}:\frac{x^{2}}{a^{2}}+\frac{y^{2}}{b^{2}}=1\) with the corresponding focus \((2,0)\). If the tangent to \(\mathrm{E}\) at the point \(\mathrm{P}\) in the first quadrant passes thro...

Let \(f:\mathbb{R}-{0,1}\to \mathbb{R}\) be a function such that \(f(x)+f\left(\frac{1}{1-x}\right)=1+x\). Then \(f(2)\) is equal to

Let \(\mathrm{P}\left(x_{0}, y_{0}\right)\) be the point on the hyperbola \(3 x^{2}-4 y^{2}=36\), which is nearest to the line \(3 x+2 y=1\). Then \(\sqrt{2}\left(y_{0}-x_{0}\right)\) is equal to :

Let \(S = \left\{ {x \in R:0 < x < 1\,\mathrm{and}\,2{{\tan }^{ - 1}}\left( {{{1 - x} \over {1 + x}}} \right) = {{\cos }^{ - 1}}\left( {{{1 - {x^2}} \over {1 + {x^2}}}} \right)} \right\}\).
If \(\mathrm{n(S)}\) denotes the number of element...

Which of the following statements is a tautology?

For the system of linear equations \(\alpha x+y+z=1,x+\alpha y+z=1,x+y+\alpha z=\beta\), which one of the following statements is NOT correct?

If \(A = {1 \over 2}\left[ {\matrix{ 1 & {\sqrt 3 } \cr { - \sqrt 3 } & 1 \cr } } \right]\), then :

If the \(x\)-intercept of a focal chord of the parabola \(y^{2}=8x+4y+4\) is 3, then the length of this chord is equal to ____________.