JEE Main 2024 (Online) 27th January Morning Shift
Paper was held on Sat, Jan 27, 2024 3:30 AM
View Questions

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
EXAM MAP
Medical
NEETAIIMS
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
Defence
NDA
Staff Selection Commission
SSC CGL Tier I
CBSE
Class 12