JEE Main 2023 (Online) 1st February Morning Shift

Identify the incorrect option from the following

Decreasing order of dehydration of the following alcohols is

Number of isomeric compounds with molecular formula \(\mathrm{C}_{9} \mathrm{H}_{10} \mathrm{O}\) which (i) do not dissolve in \(\mathrm{NaOH}\) (ii) do not dissolve in \(\mathrm{HCl}\). (iii) do not give orange precipitate with 2,4-DNP (iv...

Resonance in carbonate ion \(\left(\mathrm{CO}_{3}{ }^{2-}\right)\) is

Which of the following is true?

The total number of chiral compound/s from the following is ______________.

The correct representation in six membered pyranose form for the following sugar [X] is

Match List I with List II

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}
...

(i) \(\mathrm{X}(\mathrm{g}) \rightleftharpoons \mathrm{Y}(\mathrm{g})+\mathrm{Z}(\mathrm{g}) \quad \mathrm{K}_{\mathrm{p} 1}=3\)
(ii) \(\mathrm{A}(\mathrm{g}) \rightleftharpoons 2 \mathrm{~B}(\mathrm{g}) \quad \mathrm{K}_{\mathrm{p} 2}=1\)...

A and B are two substances undergoing radioactive decay in a container. The half life of A is 15 min and that of B is 5 min. If the initial concentration of B is 4 times that of A and they both start decaying at the same time, how much time...

Match List I with List II

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;}
...

In the following reaction, 'A' is

Which of the following complex will show largest splitting of d-orbitals?

Which of the following are the example of double salt?
A. \(\mathrm{FeSO}_{4} \cdot\left(\mathrm{NH}_{4}\right)_{2} \mathrm{SO}_{4} \cdot 6 \mathrm{H}_{2} \mathrm{O}\)
B. $$\mathrm{CuSO}_{4}\cdot 4 \mathrm{NH}_{3} \cdot \mathrm{H}_{2} \math...

A solution of \(\mathrm{FeCl_3}\) when treated with \(\mathrm{K_4[Fe(CN)_6]}\) gives a prussium blue precipitate due to the formation of :

Highest oxidation state of Mn is exhibited in \(\mathrm{Mn_2O_7}\). The correct statements about \(\mathrm{Mn_2O_7}\) are
(A) Mn is tetrahedrally surrounded by oxygen atoms.
(B) Mn is octahedrally surrounded by oxygen atoms.
(C) Contains Mn...

At what pH, given half cell \(\mathrm{MnO_{4}^{-}(0.1~M)~|~Mn^{2+}(0.001~M)}\) will have electrode potential of 1.282 V? ___________ (Nearest Integer)
Given $$\mathrm{E_{MnO_4^ - |M{n^{2 + }}}^o}=1.54~\mathrm{V},\frac{2.303\mathrm{RT}}{\mat...

How can photochemical smog be controlled?

But-2-yne is reacted separately with one mole of Hydrogen as shown below :

A. A is more soluble than B.
B. The boiling point & melting point of A are higher and lower than B respectively.
C. A is more polar than B because dipole moment of ...

Given below are two statements : one is labelled as Assertion A and the other is labelled as Reason R
Assertion A : Hydrogen is an environment friendly fuel.
Reason R : Atomic number of hydrogen is 1 and it is a very light element.
In the l...

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R
Assertion A: In an Ellingham diagram, the oxidation of carbon to carbon monoxide shows a negative slope with respect to temperature.
Reason...

Given below are two statements:
Statement I : Chlorine can easily combine with oxygen to form oxides; and the product has a tendency to explode.
Statement II : Chemical reactivity of an element can be determined by its reaction with oxygen ...

Sum of oxidation states of bromine in bromic acid and perbromic acid is ___________.

Match List I with List II :

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:normal;...

Choose the correct statement(s) :
A. Beryllium oxide is purely acidic in nature.
B. Beryllium carbonate is kept in the atmosphere of \(\mathrm{CO_2}\).
C. Beryllium sulphate is readily soluble in water.
D. Beryllium shows anomalous behaviou...

Which of the following represents the lattice structure of \(\mathrm{A_{0.95}O}\) containing \(\mathrm{A^{2+},A^{3+}}\) and \(\mathrm{O^{2-}}\) ions?

25 mL of an aqueous solution of KCl was found to require 20 mL of 1 M \(\mathrm{AgNO_3}\) solution when titrated using \(\mathrm{K_2CrO_4}\) as an indicator. What is the depression in freezing point of KCl solution of the given concentratio...

The density of \(3 \mathrm{M}\) solution of \(\mathrm{NaCl}\) is \(1.0 \mathrm{~g} \mathrm{~mL}^{-1}\). Molality of the solution is ____________ \(\times 10^{-2} \mathrm{~m}\). (Nearest integer).
Given: Molar mass of \(\mathrm{Na}\) and $$\...

Electrons in a cathode ray tube have been emitted with a velocity of 1000 m s\(^{-1}\). The number of following statements which is/are \(\underline {\mathrm{true}}\) about the emitted radiation is ____________.
Given : $$\mathrm{h=6\times...

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R
Assertion A: Amongst \(\mathrm{He}, \mathrm{Ne}, \mathrm{Ar}\) and \(\mathrm{Kr}\); 1\(\mathrm{g}\) of activated charcoal adsorbs more of $...

At \(25^{\circ} \mathrm{C}\), the enthalpy of the following processes are given :

.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;...

The shortest distance between the lines \({{x - 5} \over 1} = {{y - 2} \over 2} = {{z - 4} \over { - 3}}\) and \({{x + 3} \over 1} = {{y + 5} \over 4} = {{z - 1} \over { - 5}}\) is :

Let the image of the point \(P(2,-1,3)\) in the plane \(x+2 y-z=0\) be \(Q\). Then the distance of the plane \(3 x+2 y+z+29=0\) from the point \(Q\) is :

Let \(A\) be the area bounded by the curve \(y=x|x-3|\), the \(x\)-axis and the ordinates \(x=-1\) and \(x=2\). Then \(12 A\) is equal to ____________.

The remainder, when \(19^{200}+23^{200}\) is divided by 49 , is ___________.

If the center and radius of the circle \(\left| {{{z - 2} \over {z - 3}}} \right| = 2\) are respectively \((\alpha,\beta)\) and \(\gamma\), then \(3(\alpha+\beta+\gamma)\) is equal to :

\(\mathop {\lim }\limits_{n \to \infty } \left[ {{1 \over {1 + n}} + {1 \over {2 + n}} + {1 \over {3 + n}}\, + \,...\, + \,{1 \over {2n}}} \right]\) is equal to

If \(\int_\limits{0}^{1}\left(x^{21}+x^{14}+x^{7}\right)\left(2 x^{14}+3 x^{7}+6\right)^{1 / 7} d x=\frac{1}{l}(11)^{m / n}\) where \(l, m, n \in \mathbb{N}, m\) and \(n\) are coprime then \(l+m+n\) is equal to ____________.

Let \(f: \mathbb{R} \rightarrow \mathbb{R}\) be a differentiable function such that \(f^{\prime}(x)+f(x)=\int_\limits{0}^{2} f(t) d t\). If \(f(0)=e^{-2}\), then \(2 f(0)-f(2)\) is equal to ____________.

The area enclosed by the closed curve \(\mathrm{C}\) given by the differential equation \(\frac{d y}{d x}+\frac{x+a}{y-2}=0, y(1)=0\) is \(4 \pi\).
Let \(P\) and \(Q\) be the points of intersection of the curve \(\mathrm{C}\) and the \(y\)-...

If \(y=y(x)\) is the solution curve of the differential equation \(\frac{d y}{d x}+y \tan x=x \sec x, 0 \leq x \leq \frac{\pi}{3}, y(0)=1\), then \(y\left(\frac{\pi}{6}\right)\) is equal to

Let \(f(x) = 2x + {\tan ^{ - 1}}x\) and \(g(x) = {\log _e}(\sqrt {1 + {x^2}} + x),x \in [0,3]\). Then

If \(f(x)=x^{2}+g^{\prime}(1) x+g^{\prime \prime}(2)\) and \(g(x)=f(1) x^{2}+x f^{\prime}(x)+f^{\prime \prime}(x)\), then the value of \(f(4)-g(4)\) is equal to ____________.

Let $$f(x) = \left| {\matrix{
{1 + {{\sin }^2}x} & {{{\cos }^2}x} & {\sin 2x} \cr
{{{\sin }^2}x} & {1 + {{\cos }^2}x} & {\sin 2x} \cr
{{{\sin }^2}x} & {{{\cos }^2}x} & {1 + \sin 2x} \cr

} } \right|,\,x \in \left[ {{\pi \ov...

Let \(S\) be the set of all solutions of the equation \(\cos ^{-1}(2 x)-2 \cos ^{-1}\left(\sqrt{1-x^{2}}\right)=\pi, x \in\left[-\frac{1}{2}, \frac{1}{2}\right]\). Then \(\sum_\limits{x \in S} 2 \sin ^{-1}\left(x^{2}-1\right)\) is equal to ...

The negation of the expression \(q \vee \left( {( \sim \,q) \wedge p} \right)\) is equivalent to

Let \(S\) denote the set of all real values of \(\lambda\) such that the system of equations
\(\lambda x+y+z=1\)
\(x+\lambda y+z=1\)
\(x+y+\lambda z=1\)
is inconsistent, then $$\sum_\limits{\lambda \in S}\left(|\lambda|^{2}+|\lambda|\right)...

The value of \(\frac{1}{1 ! 50 !}+\frac{1}{3 ! 48 !}+\frac{1}{5 ! 46 !}+\ldots .+\frac{1}{49 ! 2 !}+\frac{1}{51 ! 1 !}\) is :

The number of 3-digit numbers, that are divisible by either 2 or 3 but not divisible by 7, is ____________.

The number of words, with or without meaning, that can be formed using all the letters of the word ASSASSINATION so that the vowels occur together, is ___________.

In a binomial distribution \(B(n,p)\), the sum and the product of the mean and the variance are 5 and 6 respectively, then \(6(n+p-q)\) is equal to :