JEE Main 2024 (Online) 27th January Evening Shift

Paper was held on
Sat, Jan 27, 2024 9:30 AM

## Chemistry

Identity the incorrect pair from the following :

View Question The order of relative stability of the contributing structure is :
Choose the correct answer from the options given bel

View Question Major product formed in the following reaction is a mixture of :

View Question Given below are two statements :
Statement (I) : Oxygen being the first member of group 16 exhibits only -2 oxidation st

View Question The technique used for purification of steam volatile water immiscible substances is :

View Question Which structure of protein remains intact after coagulation of egg white on boiling?

View Question Identify B formed in the reaction.
$$\mathrm{Cl}-\left(\mathrm{CH}_2\right)_4-\mathrm{Cl} \xrightarrow{\text { excess }

View Question Identify from the following species in which $$\mathrm{d}^2 \mathrm{sp}^3$$ hybridization is shown by central atom :

View Question Phenolic group can be identified by a positive:

View Question Match List - I with List - II.
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View Question Which among the following halide/s will not show $$\mathrm{S_N 1}$$ reaction:
(A) $$\mathrm{H}_2 \mathrm{C}=\mathrm{CH}-

View Question Which of the following statements is not correct about rusting of iron?

View Question Which of the following cannot function as an oxidising agent?

View Question Given below are two statements :
Statement (I) : In the Lanthanoids, the formation $$\mathrm{Ce}^{+4}$$ is favoured by i

View Question Choose the correct option having all the elements with $$\mathrm{d}^{10}$$ electronic configuration from the following :

View Question The incorrect statement regarding conformations of ethane is :

View Question The final product A, formed in the following reaction sequence is:

View Question Bond line formula of HOCH(CN)$$_2$$ is :

View Question The quantity which changes with temperature is :

View Question The molecular formula of second homologue in the homologous series of mono carboxylic acids is

View Question 1 mole of $$\mathrm{PbS}$$ is oxidised by "$$\mathrm{X}$$" moles of $$\mathrm{O}_3$$ to get "$$\mathrm{Y}$$" moles of $$

View Question The Spin only magnetic moment value of square planar complex $$\left[\mathrm{Pt}\left(\mathrm{NH}_3\right)_2 \mathrm{Cl}

View Question Total number of compounds with Chiral carbon atoms from following is _________.

View Question Time required for completion of $$99.9 \%$$ of a First order reaction is ________ times of half life $$\left(t_{1 / 2}\r

View Question The hydrogen electrode is dipped in a solution of $$\mathrm{pH}=3$$ at $$25^{\circ} \mathrm{C}$$. The potential of the e

View Question The number of non-polar molecules from the following is _________. $$\mathrm{HF}, \mathrm{H}_2 \mathrm{O}, \mathrm{SO}_2

View Question $$9.3 \mathrm{~g}$$ of aniline is subjected to reaction with excess of acetic anhydride to prepare acetanilide. The mass

View Question Volume of $$3 \mathrm{M} \mathrm{~NaOH}$$ (formula weight $$40 \mathrm{~g} \mathrm{~mol}^{-1}$$ ) which can be prepared

View Question Total number of ions from the following with noble gas configuration is _________. $$\mathrm{Sr}^{2+}(z=38), \mathrm{Cs}

View Question For a certain thermochemical reaction $$\mathrm{M} \rightarrow \mathrm{N}$$ at $$\mathrm{T}=400 \mathrm{~K}, \Delta \mat

View Question ## Mathematics

Considering only the principal values of inverse trigonometric functions, the number of positive real values of $$x$$ sa

View Question Let the position vectors of the vertices $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ of a triangle be $$2 \hat{i}+2 \h

View Question Consider the function $$f:(0,2) \rightarrow \mathbf{R}$$ defined by $$f(x)=\frac{x}{2}+\frac{2}{x}$$ and the function $$

View Question An urn contains 6 white and 9 black balls. Two successive draws of 4 balls are made without replacement. The probability

View Question Let the image of the point $$(1,0,7)$$ in the line $$\frac{x}{1}=\frac{y-1}{2}=\frac{z-2}{3}$$ be the point $$(\alpha, \

View Question Let $$A$$ and $$B$$ be two finite sets with $$m$$ and $$n$$ elements respectively. The total number of subsets of the se

View Question If $$\alpha, \beta$$ are the roots of the equation, $$x^2-x-1=0$$ and $$S_n=2023 \alpha^n+2024 \beta^n$$, then :

View Question Let $$e_1$$ be the eccentricity of the hyperbola $$\frac{x^2}{16}-\frac{y^2}{9}=1$$ and $$e_2$$ be the eccentricity of t

View Question $$\text { The } 20^{\text {th }} \text { term from the end of the progression } 20,19 \frac{1}{4}, 18 \frac{1}{2}, 17 \f

View Question Let $$f: \mathbf{R}-\left\{\frac{-1}{2}\right\} \rightarrow \mathbf{R}$$ and $$g: \mathbf{R}-\left\{\frac{-5}{2}\right\}

View Question $$\text { If } \lim _\limits{x \rightarrow 0} \frac{3+\alpha \sin x+\beta \cos x+\log _e(1-x)}{3 \tan ^2 x}=\frac{1}{3}

View Question If $$y=y(x)$$ is the solution curve of the differential equation $$\left(x^2-4\right) \mathrm{d} y-\left(y^2-3 y\right)

View Question If $$2 \tan ^2 \theta-5 \sec \theta=1$$ has exactly 7 solutions in the interval $$\left[0, \frac{n \pi}{2}\right]$$, for

View Question Let $$g(x)=3 f\left(\frac{x}{3}\right)+f(3-x)$$ and $$f^{\prime \prime}(x)>0$$ for all $$x \in(0,3)$$. If $$g$$ is decre

View Question Let $$\mathrm{R}$$ be the interior region between the lines $$3 x-y+1=0$$ and $$x+2 y-5=0$$ containing the origin. The s

View Question Let $$\alpha=\frac{(4 !) !}{(4 !)^{3 !}}$$ and $$\beta=\frac{(5 !) !}{(5 !)^{4 !}}$$. Then :

View Question $$\text { The integral } \int \frac{\left(x^8-x^2\right) \mathrm{d} x}{\left(x^{12}+3 x^6+1\right) \tan ^{-1}\left(x^3+\

View Question The values of $$\alpha$$, for which $$\left|\begin{array}{ccc}1 & \frac{3}{2} & \alpha+\frac{3}{2} \\ 1 & \frac{1}{3} &

View Question For $$0

View Question The position vectors of the vertices $$\mathrm{A}, \mathrm{B}$$ and $$\mathrm{C}$$ of a triangle are $$2 \hat{i}-3 \hat{

View Question The mean and standard deviation of 15 observations were found to be 12 and 3 respectively. On rechecking it was found th

View Question The coefficient of $$x^{2012}$$ in the expansion of $$(1-x)^{2008}\left(1+x+x^2\right)^{2007}$$ is equal to _________.

View Question The lines $$\frac{x-2}{2}=\frac{y}{-2}=\frac{z-7}{16}$$ and $$\frac{x+3}{4}=\frac{y+2}{3}=\frac{z+2}{1}$$ intersect at t

View Question Let $$f(x)=\int_\limits0^x g(t) \log _{\mathrm{e}}\left(\frac{1-\mathrm{t}}{1+\mathrm{t}}\right) \mathrm{dt}$$, where $$

View Question If the area of the region $$\left\{(x, y): 0 \leq y \leq \min \left\{2 x, 6 x-x^2\right\}\right\}$$ is $$\mathrm{A}$$, t

View Question If the sum of squares of all real values of $$\alpha$$, for which the lines $$2 x-y+3=0,6 x+3 y+1=0$$ and $$\alpha x+2 y

View Question Let $$A$$ be a $$2 \times 2$$ real matrix and $$I$$ be the identity matrix of order 2. If the roots of the equation $$|\

View Question Consider a circle $$(x-\alpha)^2+(y-\beta)^2=50$$, where $$\alpha, \beta>0$$. If the circle touches the line $$y+x=0$$ a

View Question Let the complex numbers $$\alpha$$ and $$\frac{1}{\bar{\alpha}}$$ lie on the circles $$\left|z-z_0\right|^2=4$$ and $$\l

View Question If the solution curve, of the differential equation $$\frac{\mathrm{d} y}{\mathrm{~d} x}=\frac{x+y-2}{x-y}$$ passing thr

View Question ## Physics

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A)

View Question A ball suspended by a thread swings in a vertical plane so that its magnitude of acceleration in the extreme position an

View Question Given below are two statements :
Statement (I) : The limiting force of static friction depends on the area of contact an

View Question Primary side of a transformer is connected to $$230 \mathrm{~V}, 50 \mathrm{~Hz}$$ supply. Turns ratio of primary to sec

View Question A heavy iron bar of weight $$12 \mathrm{~kg}$$ is having its one end on the ground and the other on the shoulder of a ma

View Question Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A)

View Question Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A)

View Question The atomic mass of $${ }_6 \mathrm{C}^{12}$$ is $$12.000000 \mathrm{~u}$$ and that of $${ }_6 \mathrm{C}^{13}$$ is $$13.

View Question The threshold frequency of a metal with work function $$6.63 \mathrm{~eV}$$ is :

View Question During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature.

View Question A bullet is fired into a fixed target looses one third of its velocity after travelling $$4 \mathrm{~cm}$$. It penetrate

View Question Three voltmeters, all having different internal resistances are joined as shown in figure. When some potential differenc

View Question The equation of state of a real gas is given by $$\left(\mathrm{P}+\frac{\mathrm{a}}{\mathrm{V}^2}\right)(\mathrm{V}-\ma

View Question When a polaroid sheet is rotated between two crossed polaroids then the transmitted light intensity will be maximum for

View Question An object is placed in a medium of refractive index 3 . An electromagnetic wave of intensity $$6 \times 10^8 \mathrm{~W}

View Question The total kinetic energy of 1 mole of oxygen at $$27^{\circ} \mathrm{C}$$ is :
[Use universal gas constant $$(R)=8.31 \m

View Question The truth table of the given circuit diagram is :

View Question A current of $$200 \mu \mathrm{A}$$ deflects the coil of a moving coil galvanometer through $$60^{\circ}$$. The current

View Question Wheatstone bridge principle is used to measure the specific resistance $$\left(S_1\right)$$ of given wire, having length

View Question A closed organ pipe $$150 \mathrm{~cm}$$ long gives 7 beats per second with an open organ pipe of length $$350 \mathrm{~

View Question A series LCR circuit with $$\mathrm{L}=\frac{100}{\pi} \mathrm{mH}, \mathrm{C}=\frac{10^{-3}}{\pi} \mathrm{F}$$ and $$\m

View Question Two charges of $$-4 \mu \mathrm{C}$$ and $$+4 \mu \mathrm{C}$$ are placed at the points $$\mathrm{A}(1,0,4) \mathrm{m}$$

View Question A ring and a solid sphere roll down the same inclined plane without slipping. They start from rest. The radii of both bo

View Question A body falling under gravity covers two points $$A$$ and $$B$$ separated by $$80 \mathrm{~m}$$ in $$2 \mathrm{~s}$$. The

View Question The electric potential at the surface of an atomic nucleus $$(z=50)$$ of radius $$9 \times 10^{-13} \mathrm{~cm}$$ is __

View Question The magnetic field at the centre of a wire loop formed by two semicircular wires of radii $$R_1=2 \pi \mathrm{m}$$ and $

View Question A parallel beam of monochromatic light of wavelength 5000 $$\mathop A\limits^o$$ is incident normally on a single narrow

View Question The reading of pressure metre attached with a closed pipe is $$4.5 \times 10^4 \mathrm{~N} / \mathrm{m}^2$$. On opening

View Question If Rydberg's constant is $$R$$, the longest wavelength of radiation in Paschen series will be $$\frac{\alpha}{7 R}$$, wh

View Question