JEE Main 2024 (Online) 27th January Morning Shift

Paper was held on
Sat, Jan 27, 2024 3:30 AM

## Chemistry

Two nucleotides are joined together by a linkage known as :

View Question Highest enol content will be shown by:

View Question Element not showing variable oxidation state is :

View Question Which of the following is strongest Bronsted base?

View Question Which of the following electronic configuration would be associated with the highest magnetic moment?

View Question Which of the following has highly acidic hydrogen?

View Question A solution of two miscible liquids showing negative deviation from Raoult's law will have :

View Question Consider the following complex ions
$$\begin{aligned}
& \mathrm{P}=\left[\mathrm{FeF}_6\right]^{3-} \\
& \mathrm{Q}=\lef

View Question Choose the polar molecule from the following:

View Question Given below are two statements :
Statement (I) : The $$4 \mathrm{f}$$ and $$5 \mathrm{f}$$ - series of elements are plac

View Question Given below are two statements :
Statement (I) : p-nitrophenol is more acidic than m-nitrophenol and o-nitrophenol.
Stat

View Question The ascending order of acidity of $$-\mathrm{OH}$$ group in the following compounds is :
Choose the correct answer from

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 Cyclohexene
is ________ type of an organic compound.

View Question Yellow compound of lead chromate gets dissolved on treatment with hot $$\mathrm{NaOH}$$ solution. The product of lead fo

View Question Given below are two statements :
Statement (I) : Aqueous solution of ammonium carbonate is basic.
Statement (II) : Acidi

View Question IUPAC name of following compound (P) is:

View Question $$\mathrm{NaCl}$$ reacts with conc. $$\mathrm{H}_2 \mathrm{SO}_4$$ and $$\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7$$ to gi

View Question The correct statement regarding nucleophilic substitution reaction in a chiral alkyl halide is ;

View Question The electronic configuration for Neodymium is:
[Atomic Number for Neodymium 60]

View Question The mass of silver (Molar mass of $$\mathrm{Ag}: 108 \mathrm{~gmol}^{-1}$$ ) displaced by a quantity of electricity whic

View Question Consider the following data for the given reaction
$$2 \mathrm{HI}_{(\mathrm{g})} \rightarrow \mathrm{H}_{2(\mathrm{~g})

View Question Mass of methane required to produce $$22 \mathrm{~g}$$ of $$\mathrm{CO}_2$$ after complete combustion is _______ g.
(Giv

View Question If three moles of an ideal gas at $$300 \mathrm{~K}$$ expand isothermally from $$30 \mathrm{~dm}^3$$ to $$45 \mathrm{~dm

View Question 3-Methylhex-2-ene on reaction with $$\mathrm{HBr}$$ in presence of peroxide forms an addition product (A). The number of

View Question Among the given organic compounds, the total number of aromatic compounds is

View Question Among the following, total number of meta directing functional groups is (Integer based)
$$-\mathrm{OCH}_3,-\mathrm{NO}_

View Question The number of electrons present in all the completely filled subshells having $$\mathrm{n}=4$$ and $$\mathrm{s}=+\frac{1

View Question Sum of bond order of CO and NO$$^+$$ is ________.

View Question From the given list, the number of compounds with +4 oxidation state of Sulphur ________.
$$\mathrm{SO}_3, \mathrm{H}_2

View Question ## Mathematics

If $\int\limits_0^1 \frac{1}{\sqrt{3+x}+\sqrt{1+x}} \mathrm{~d} x=\mathrm{a}+\mathrm{b} \sqrt{2}+\mathrm{c} \sqrt{3}$, w

View Question If $S=\{z \in C:|z-i|=|z+i|=|z-1|\}$, then, $n(S)$ is :

View Question Let $S=\{1,2,3, \ldots, 10\}$. Suppose $M$ is the set of all the subsets of $S$, then the relation $\mathrm{R}=\{(\mathr

View Question If the shortest distance of the parabola $y^2=4 x$ from the centre of the circle $x^2+y^2-4 x-16 y+64=0$ is $\mathrm{d}$

View Question If $(a, b)$ be the orthocentre of the triangle whose vertices are $(1,2),(2,3)$ and $(3,1)$, and $\mathrm{I}_1=\int\limi

View Question Let $x=x(\mathrm{t})$ and $y=y(\mathrm{t})$ be solutions of the differential equations $\frac{\mathrm{d} x}{\mathrm{dt}}

View Question The distance, of the point $(7,-2,11)$ from the line $\frac{x-6}{1}=\frac{y-4}{0}=\frac{z-8}{3}$ along the line $\frac{x

View Question The length of the chord of the ellipse $\frac{x^2}{25}+\frac{y^2}{16}=1$, whose mid point is $\left(1, \frac{2}{5}\right

View Question Consider the function.
$$
f(x)=\left\{\begin{array}{cc}
\frac{\mathrm{a}\left(7 x-12-x^2\right)}{\mathrm{b}\left|x^2-7 x

View Question If $\mathrm{a}=\lim\limits_{x \rightarrow 0} \frac{\sqrt{1+\sqrt{1+x^4}}-\sqrt{2}}{x^4}$ and $\mathrm{b}=\lim\limits _{x

View Question Consider the matrix $f(x)=\left[\begin{array}{ccc}\cos x & -\sin x & 0 \\ \sin x & \cos x & 0 \\ 0 & 0 & 1\end{array}\ri

View Question Four distinct points $(2 k, 3 k),(1,0),(0,1)$ and $(0,0)$ lie on a circle for $k$ equal to :

View Question If the shortest distance between the lines $\frac{x-4}{1}=\frac{y+1}{2}=\frac{z}{-3}$ and $\frac{x-\lambda}{2}=\frac{y+1

View Question The portion of the line $4 x+5 y=20$ in the first quadrant is trisected by the lines $\mathrm{L}_1$ and $\mathrm{L}_2$ p

View Question ${ }^{n-1} C_r=\left(k^2-8\right){ }^n C_{r+1}$ if and only if :

View Question The number of common terms in the progressions $4,9,14,19, \ldots \ldots$, up to $25^{\text {th }}$ term and $3,6,9,12,

View Question Let $\mathrm{a}_1, \mathrm{a}_2, \ldots \mathrm{a}_{10}$ be 10 observations such that $\sum\limits_{\mathrm{k}=1}^{10} \

View Question Let $\overrightarrow{\mathrm{a}}=\hat{i}+2 \hat{j}+\hat{k}, $
$\overrightarrow{\mathrm{b}}=3(\hat{i}-\hat{j}+\hat{k})$.

View Question If A denotes the sum of all the coefficients in the expansion of $\left(1-3 x+10 x^2\right)^{\mathrm{n}}$ and B denotes

View Question The function $f: \mathbf{N}-\{1\} \rightarrow \mathbf{N}$; defined by $f(\mathrm{n})=$ the highest prime factor of $\mat

View Question If $8=3+\frac{1}{4}(3+p)+\frac{1}{4^2}(3+2 p)+\frac{1}{4^3}(3+3 p)+\cdots \cdots \infty$, then the value of $p$ is _____

View Question If the solution of the differential equation $(2 x+3 y-2) \mathrm{d} x+(4 x+6 y-7) \mathrm{d} y=0, y(0)=3$, is
$\alpha

View Question Let $f(x)=x^3+x^2 f^{\prime}(1)+x f^{\prime \prime}(2)+f^{\prime \prime \prime}(3), x \in \mathbf{R}$. Then $f^{\prime}(

View Question Let the set of all $a \in \mathbf{R}$ such that the equation $\cos 2 x+a \sin x=2 a-7$ has a solution be $[p, q]$ and $r

View Question Let for a differentiable function $f:(0, \infty) \rightarrow \mathbf{R}, f(x)-f(y) \geqslant \log _{\mathrm{e}}\left(\fr

View Question Let the area of the region $\left\{(x, y): x-2 y+4 \geqslant 0, x+2 y^2 \geqslant 0, x+4 y^2 \leq 8, y \geqslant 0\right

View Question Let $A=\left[\begin{array}{lll}2 & 0 & 1 \\ 1 & 1 & 0 \\ 1 & 0 & 1\end{array}\right], B=\left[B_1, B_2, B_3\right]$, whe

View Question The least positive integral value of $\alpha$, for which the angle between the vectors $\alpha \hat{i}-2 \hat{j}+2 \hat{

View Question If $\alpha$ satisfies the equation $x^2+x+1=0$ and $(1+\alpha)^7=A+B \alpha+C \alpha^2, A, B, C \geqslant 0$, then $5(3

View Question A fair die is tossed repeatedly until a six is obtained. Let $X$ denote the number of tosses required and let $a=P(X=3),

View Question ## Physics

Position of an ant ($$\mathrm{S}$$ in metres) moving in $$\mathrm{Y}$$-$$\mathrm{Z}$$ plane is given by $$S=2 t^2 \hat{j

View Question Given below are two statements :
Statement (I) :Viscosity of gases is greater than that of liquids.
Statement (II) : Sur

View Question If the refractive index of the material of a prism is $$\cot \left(\frac{A}{2}\right)$$, where $$A$$ is the angle of pri

View Question A proton moving with a constant velocity passes through a region of space without any change in its velocity. If $$\over

View Question The acceleration due to gravity on the surface of earth is $$\mathrm{g}$$. If the diameter of earth reduces to half of i

View Question A train is moving with a speed of $$12 \mathrm{~m} / \mathrm{s}$$ on rails which are $$1.5 \mathrm{~m}$$ apart. To negot

View Question Which of the following circuits is reverse - biased?

View Question Identify the physical quantity that cannot be measured using spherometer :

View Question Two bodies of mass $$4 \mathrm{~g}$$ and $$25 \mathrm{~g}$$ are moving with equal kinetic energies. The ratio of magnitu

View Question $$0.08 \mathrm{~kg}$$ air is heated at constant volume through $$5^{\circ} \mathrm{C}$$. The specific heat of air at con

View Question The radius of third stationary orbit of electron for Bohr's atom is R. The radius of fourth stationary orbit will be:

View Question A rectangular loop of length $$2.5 \mathrm{~m}$$ and width $$2 \mathrm{~m}$$ is placed at $$60^{\circ}$$ to a magnetic f

View Question An electric charge $$10^{-6} \mu \mathrm{C}$$ is placed at origin $$(0,0)$$ $$\mathrm{m}$$ of $$\mathrm{X}-\mathrm{Y}$$

View Question A convex lens of focal length $$40 \mathrm{~cm}$$ forms an image of an extended source of light on a photoelectric cell.

View Question A body of mass $$1000 \mathrm{~kg}$$ is moving horizontally with a velocity $$6 \mathrm{~m} / \mathrm{s}$$. If $$200 \ma

View Question A plane electromagnetic wave propagating in $$\mathrm{x}$$-direction is described by
$$E_y=\left(200 \mathrm{Vm}^{-1}\ri

View Question Given below are two statements :
Statement (I) : Planck's constant and angular momentum have same dimensions.
Statement

View Question A wire of length $$10 \mathrm{~cm}$$ and radius $$\sqrt{7} \times 10^{-4} \mathrm{~m}$$ connected across the right gap o

View Question A wire of resistance $$\mathrm{R}$$ and length $$\mathrm{L}$$ is cut into 5 equal parts. If these parts are joined paral

View Question The average kinetic energy of a monatomic molecule is $$0.414 \mathrm{~eV}$$ at temperature :
(Use $$K_B=1.38 \times 10^

View Question A particle starts from origin at $$t=0$$ with a velocity $$5 \hat{i} \mathrm{~m} / \mathrm{s}$$ and moves in $$x-y$$ pla

View Question A thin metallic wire having cross sectional area of $$10^{-4} \mathrm{~m}^2$$ is used to make a ring of radius $$30 \mat

View Question Two coils have mutual inductance $$0.002 \mathrm{~H}$$. The current changes in the first coil according to the relation

View Question Two immiscible liquids of refractive indices $$\frac{8}{5}$$ and $$\frac{3}{2}$$ respectively are put in a beaker as sho

View Question In a nuclear fission process, a high mass nuclide $$(A \approx 236)$$ with binding energy $$7.6 \mathrm{~MeV} /$$ Nucleo

View Question Four particles each of mass $$1 \mathrm{~kg}$$ are placed at four corners of a square of side $$2 \mathrm{~m}$$. Moment

View Question A particle executes simple harmonic motion with an amplitude of $$4 \mathrm{~cm}$$. At the mean position, velocity of th

View Question Two long, straight wires carry equal currents in opposite directions as shown in figure. The separation between the wire

View Question The charge accumulated on the capacitor connected in the following circuit is _______ $$\mu \mathrm{C}$$ (Given $$\mathr

View Question If average depth of an ocean is $$4000 \mathrm{~m}$$ and the bulk modulus of water is $$2 \times 10^9 \mathrm{~Nm}^{-2}$

View Question