JEE Main 2023 (Online) 24th January Morning Shift

'A' and 'B' formed in the following set of reactions are :

'R' formed in the following sequence of reactions is :

Compound (X) undergoes following sequence of reactions to give the Lactone (Y).

Uracil is a base present in RNA with the following structure. % of N in uracil is ___________

Given:
Molar mass N = 14 g mol\(^{-1}\)
O = 16 g mol\(^{-1}\)
C = 12 g mol\(^{-1}\)
H = 1 g mol\(^{-1}\)

Decreasing order of the hydrogen bonding in following forms of water is correctly represented by
A. Liquid water
B. Ice
C. Impure water
Choose the correct answer from the options given below :

Order of Covalent bond;
\(\mathrm{A.~KF > KI ; LiF > KF}\)
\(\mathrm{B.~KF < KI ; LiF > KF}\)
\(\mathrm{C.~SnCl_4 > SnCl_2 ; CuCl > NaCl}\)
\(\mathrm{D.~LiF > KF ; CuCl < NaCl}\)
\(\mathrm{E.~KF < KI ; CuCl > NaCl}\)
Choose the correct answ...

The number of correct statement/s from the following is __________
A. Larger the activation energy, smaller is the value of the rate constant.
B. The higher is the activation energy, higher is the value of the temperature coefficient.
C. At...

Given below are two statements:
Statement I : Noradrenaline is a neurotransmitter.
Statement II : Low level of noradrenaline is not the cause of depression in human.
In the light of the above statements, choose the correct answer from the o...

Increasing order of stability of the resonance structures is :

Choose the correct answer from the options given below :

The primary and secondary valencies of cobalt respectively in \(\mathrm{[Co(NH_3)_5Cl]Cl_2}\) are :

The d-electronic configuration of \(\mathrm{[CoCl_4]^{2-}}\) in tetrahedral crystal field in \({e^mt_2^n}\). Sum of "m" and "number of unpaired electrons" is ___________

An ammoniacal metal salt solution gives a brilliant red precipitate on addition of dimethylglyoxime. The metal ion is :

At 298 K, a 1 litre solution containing 10 mmol of \(\mathrm{C{r_2}O_7^{2 - }}\) and 100 mmol of \(\mathrm{Cr^{3+}}\) shows a pH of 3.0.
Given : \(\mathrm{C{r_2}O_7^{2 - } \to C{r^{3 + }}\,;\,E^\circ = 1.330}\)V
and $$\mathrm{{{2.303\,RT} ...

Which of the following is true about freons?

Assertion A : Hydrolysis of an alkyl chloride is a slow reaction but in the presence of NaI, the rate of the hydrolysis increases.
Reason R : I\(^{-}\) is a good nucleophile as well as a good leaving group.
In the light of the above stateme...

Number of moles of AgCl formed in the following reaction is _____________

In the following given reaction, 'A' is

The dissociation constant of acetic acid is \(x\times10^{-5}\). When 25 mL of 0.2 \(\mathrm{M~CH_3COONa}\) solution is mixed with 25 mL of 0.02 \(\mathrm{M~CH_3COOH}\) solution, the pH of the resultant solution is found to be equal to 5. Th...

Match List I with List II

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Which of the Phosphorus oxoacid can create silver mirror from \(\mathrm{AgNO_3}\) solution?

Match List I with List II

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Reaction of BeO with ammonia and hydrogen fluoride gives A which on thermal decomposition gives \(\mathrm{BeF_2}\) and \(\mathrm{NH_4F}\). What is 'A'?

In the depression of freezing point experiment
A. Vapour pressure of the solution is less than that of pure solvent
B. Vapour pressure of the solution is more than that of pure solvent
C. Only solute molecules solidify at the freezing point...

When \(\mathrm{Fe_{0.93}O}\) is heated in presence of oxygen, it converts to \(\mathrm{Fe_2O_3}\). The number of correct statement/s from the following is ________
A. The equivalent weight of \(\mathrm{Fe_{0.93}O}\) is $${{\mathrm{Molecular...

5 g of NaOH was dissolved in deionized water to prepare a 450 mL stock solution. What volume (in mL) of this solution would be required to prepare 500 mL of 0.1 M solution? _____________
Given : Molar Mass of Na, O and H is 23, 16 and 1 g m...

The magnetic moment of a transition metal compound has been calculated to be 3.87 B.M. The metal ion is

It is observed that characteristic X-ray spectra of elements show regularity. When frequency to the power "n" i.e. \({v^n}\) of X-rays emitted is plotted against atomic number "Z", following graph is obtained.

The value of 'n' is :

If wavelength of the first line of the Paschen series of hydrogen atom is 720 nm, then the wavelength of the second line of this series is _________ nm. (Nearest integer)

Statement I : For colloidal particles, the values of colligative properties are of small order as compared to values shown by true solutions at same concentration.
Statement II : For colloidal particles, the potential difference between the...

For independent process at 300 K

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The distance of the point (7, \(-\)3, \(-\)4) from the plane passing through the points (2, \(-\)3, 1), (\(-\)1, 1, \(-\)2) and (3, \(-\)4, 2) is :

The distance of the point (\(-1,9,-16\)) from the plane \(2x+3y-z=5\) measured parallel to the line \({{x + 4} \over 3} = {{2 - y} \over 4} = {{z - 3} \over {12}}\) is :

The shortest distance between the lines \({{x - 2} \over 3} = {{y + 1} \over 2} = {{z - 6} \over 2}\) and \({{x - 6} \over 3} = {{1 - y} \over 2} = {{z + 8} \over 0}\) is equal to ________

The area enclosed by the curves \({y^2} + 4x = 4\) and \(y - 2x = 2\) is :

The value of \(\sum\limits_{r = 0}^{22} {{}^{22}{C_r}{}^{23}{C_r}}\) is

Suppose \(\sum\limits_{r = 0}^{2023} {{r^2}{}~^{2023}{C_r} = 2023 \times \alpha \times {2^{2022}}}\). Then the value of \(\alpha\) is ___________

Let \(\mathrm{p,q\in\mathbb{R}}\) and \({\left( {1 - \sqrt 3 i} \right)^{200}} = {2^{199}}(p + iq),i = \sqrt { - 1}\) then \(\mathrm{p+q+q^2}\) and \(\mathrm{p-q+q^2}\) are roots of the equation.

The value of \(12\int\limits_0^3 {\left| {{x^2} - 3x + 2} \right|dx}\) is ____________

The value of \({8 \over \pi }\int\limits_0^{{\pi \over 2}} {{{{{(\cos x)}^{2023}}} \over {{{(\sin x)}^{2023}} + {{(\cos x)}^{2023}}}}dx}\) is ___________

Let \(y = y(x)\) be the solution of the differential equation \({x^3}dy + (xy - 1)dx = 0,x > 0,y\left( {{1 \over 2}} \right) = 3 - \mathrm{e}\). Then y (1) is equal to

Let C be the largest circle centred at (2, 0) and inscribed in the ellipse \({{{x^2}} \over {36}} + {{{y^2}} \over {16}} = 1\). If (1, \(\alpha\)) lies on C, then 10 \(\alpha^2\) is equal to ____________

Let a tangent to the curve \(9{x^2} + 16{y^2} = 144\) intersect the coordinate axes at the points A and B. Then, the minimum length of the line segment AB is ________

\({\tan ^{ - 1}}\left( {{{1 + \sqrt 3 } \over {3 + \sqrt 3 }}} \right) + {\sec ^{ - 1}}\left( {\sqrt {{{8 + 4\sqrt 3 } \over {6 + 3\sqrt 3 }}} } \right)\) is equal to :

\(\mathop {\lim }\limits_{t \to 0} {\left( {{1^{{1 \over {{{\sin }^2}t}}}} + {2^{{1 \over {{{\sin }^2}t}}}}\, + \,...\, + \,{n^{{1 \over {{{\sin }^2}t}}}}} \right)^{{{\sin }^2}t}}\) is equal to

Let \(f(x) = \left\{ {\matrix{ {{x^2}\sin \left( {{1 \over x}} \right)} & {,\,x \ne 0} \cr 0 & {,\,x = 0} \cr } } \right.\)
Then at \(x=0\)

The compound statement \(\left( { \sim (P \wedge Q)} \right) \vee \left( {( \sim P) \wedge Q} \right) \Rightarrow \left( {( \sim P) \wedge ( \sim Q)} \right)\) is equivalent to

If A and B are two non-zero n \(\times\) n matrices such that \(\mathrm{A^2+B=A^2B}\), then :

Let \(\alpha\) be a root of the equation \((a - c){x^2} + (b - a)x + (c - b) = 0\) where a, b, c are distinct real numbers such that the matrix $$\left[ {\matrix{
{{\alpha ^2}} & \alpha & 1 \cr
1 & 1 & 1 \cr
a & b & c \cr

...

Let a tangent to the curve \(\mathrm{y^2=24x}\) meet the curve \(xy = 2\) at the points A and B. Then the mid points of such line segments AB lie on a parabola with the :

A boy needs to select five courses from 12 available courses, out of which 5 courses are language courses. If he can choose at most two language courses, then the number of ways he can choose five courses is __________