JEE Main 2024 (Online) 30th January Evening Shift

Paper was held on
Tue, Jan 30, 2024 9:30 AM

## Chemistry

The products A and B formed in the following reaction scheme are respectively

View Question The correct stability order of carbocations is

View Question Which among the following purification methods is based on the principle of "Solubility" in two different solvents?

View Question IUPAC name of following compound is :

View Question The solution from the following with highest depression in freezing point/lowest freezing point is

View Question Given below are two statements:
Statement - I: Since Fluorine is more electronegative than nitrogen, the net dipole mome

View Question A and B formed in the following reactions are:
$$\begin{aligned}
& \mathrm{CrO}_2 \mathrm{Cl}_2+4 \mathrm{NaOH} \rightar

View Question If a substance '$$A$$' dissolves in solution of a mixture of '$$B$$' and '$$C$$' with their respective number of moles a

View Question The molecule / ion with square pyramidal shape is

View Question Given below are two statements:
Statement - I: High concentration of strong nucleophilic reagent with secondary alkyl ha

View Question Choose the correct statements about the hydrides of group 15 elements.
A. The stability of the hydrides decreases in the

View Question Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R:
Assertion A: $$\ma

View Question Alkaline oxidative fusion of $$\mathrm{MnO}_2$$ gives "A" which on electrolytic oxidation in alkaline solution produces

View Question Salicylaldehyde is synthesized from phenol, when reacted with

View Question m-chlorobenzaldehyde on treatment with 50% KOH solution yields :

View Question Products A and B formed in the following set of reactions are

View Question The orange colour of $$\mathrm{K}_2 \mathrm{Cr}_2 \mathrm{O}_7$$ and purple colour of $$\mathrm{KMnO}_4$$ is due to

View Question The coordination geometry around the manganese in decacarbonyldimanganese $$(0)$$ is

View Question Reduction potential of ions are given below:
$$\begin{array}{ccc}
\mathrm{ClO}_4^{-} & \mathrm{IO}_4^{-} & \mathrm{BrO}_

View Question Given below are two statements:
Statement - I: Along the period, the chemical reactivity of the elements gradually incre

View Question The total number of correct statements, regarding the nucleic acids is _________.
A. RNA is regarded as the reserve of g

View Question Number of metal ions characterized by flame test among the following is ________.
$$\mathrm{Sr}^{2+}, \mathrm{Ba}^{2+},

View Question Number of spectral lines obtained in $$\mathrm{He}^{+}$$ spectra, when an electron makes transition from fifth excited s

View Question Total number of species from the following which can undergo disproportionation reaction is ________.
$$\mathrm{H}_2 \ma

View Question Number of geometrical isomers possible for the given structure is/are _________.

View Question The $$\mathrm{pH}$$ of an aqueous solution containing $$1 \mathrm{M}$$ benzoic acid $$\left(\mathrm{pK}_{\mathrm{a}}=4.2

View Question $$\mathrm{NO}_2$$ required for a reaction is produced by decomposition of $$\mathrm{N}_2 \mathrm{O}_5$$ in $$\mathrm{CCl

View Question Number of complexes which show optical isomerism among the following is ________.
$$\text { cis- }\left[\mathrm{Cr}(\mat

View Question 2-chlorobutane $$+\mathrm{Cl}_2 \rightarrow \mathrm{C}_4 \mathrm{H}_8 \mathrm{Cl}_2$$ (isomers)
Total number of opticall

View Question Two reactions are given below:
$$\begin{aligned}
& 2 \mathrm{Fe}_{(\mathrm{s})}+\frac{3}{2} \mathrm{O}_{2(\mathrm{~g})}

View Question ## Mathematics

Let $$f: \mathbb{R} \rightarrow \mathbb{R}$$ be a function defined by $$f(x)=\frac{x}{\left(1+x^4\right)^{1 / 4}}$$, and

View Question Let $$a$$ and $$b$$ be be two distinct positive real numbers. Let $$11^{\text {th }}$$ term of a GP, whose first term is

View Question Let $$y=f(x)$$ be a thrice differentiable function in $$(-5,5)$$. Let the tangents to the curve $$y=f(x)$$ at $$(1, f(1)

View Question For $$\alpha, \beta \in(0, \pi / 2)$$, let $$3 \sin (\alpha+\beta)=2 \sin (\alpha-\beta)$$ and a real number $$k$$ be su

View Question If $$z$$ is a complex number, then the number of common roots of the equations $$z^{1985}+z^{100}+1=0$$ and $$z^3+2 z^2+

View Question Let $$f: \mathbb{R}-\{0\} \rightarrow \mathbb{R}$$ be a function satisfying $$f\left(\frac{x}{y}\right)=\frac{f(x)}{f(y)

View Question Let $$R=\left(\begin{array}{ccc}x & 0 & 0 \\ 0 & y & 0 \\ 0 & 0 & z\end{array}\right)$$ be a non-zero $$3 \times 3$$ mat

View Question If $$x^2-y^2+2 h x y+2 g x+2 f y+c=0$$ is the locus of a point, which moves such that it is always equidistant from the

View Question Let $$a$$ and $$b$$ be real constants such that the function $$f$$ defined by $$f(x)=\left\{\begin{array}{ll}x^2+3 x+a &

View Question Let $$\mathrm{f}: \mathbb{R} \rightarrow \mathbb{R}$$ be defined as $$f(x)=a e^{2 x}+b e^x+c x$$. If $$f(0)=-1, f^{\prim

View Question Let $$L_1: \vec{r}=(\hat{i}-\hat{j}+2 \hat{k})+\lambda(\hat{i}-\hat{j}+2 \hat{k}), \lambda \in \mathbb{R}$$,
$$L_2: \vec

View Question Let $$\vec{a}=\hat{i}+\alpha \hat{j}+\beta \hat{k}, \alpha, \beta \in \mathbb{R}$$. Let a vector $$\vec{b}$$ be such tha

View Question Let $$P$$ be a point on the hyperbola $$H: \frac{x^2}{9}-\frac{y^2}{4}=1$$, in the first quadrant such that the area of

View Question Let $$f(x)=(x+3)^2(x-2)^3, x \in[-4,4]$$. If $$M$$ and $$m$$ are the maximum and minimum values of $$f$$, respectively i

View Question Suppose $$2-p, p, 2-\alpha, \alpha$$ are the coefficients of four consecutive terms in the expansion of $$(1+x)^n$$. The

View Question Consider the system of linear equations $$x+y+z=5, x+2 y+\lambda^2 z=9, x+3 y+\lambda z=\mu$$, where $$\lambda, \mu \in

View Question Let $$\vec{a}$$ and $$\vec{b}$$ be two vectors such that $$|\vec{b}|=1$$ and $$|\vec{b} \times \vec{a}|=2$$. Then $$|(\v

View Question If the domain of the function $$f(x)=\log _e\left(\frac{2 x+3}{4 x^2+x-3}\right)+\cos ^{-1}\left(\frac{2 x-1}{x+2}\right

View Question Bag A contains 3 white, 7 red balls and Bag B contains 3 white, 2 red balls. One bag is selected at random and a ball is

View Question Let $$A(\alpha, 0)$$ and $$B(0, \beta)$$ be the points on the line $$5 x+7 y=50$$. Let the point $$P$$ divide the line s

View Question In an examination of Mathematics paper, there are 20 questions of equal marks and the question paper is divided into thr

View Question Let $$Y=Y(X)$$ be a curve lying in the first quadrant such that the area enclosed by the line $$Y-y=Y^{\prime}(x)(X-x)$$

View Question The number of real solutions of the equation $$x\left(x^2+3|x|+5|x-1|+6|x-2|\right)=0$$ is _________.

View Question Consider two circles $$C_1: x^2+y^2=25$$ and $$C_2:(x-\alpha)^2+y^2=16$$, where $$\alpha \in(5,9)$$. Let the angle betwe

View Question Let a line passing through the point $$(-1,2,3)$$ intersect the lines $$L_1: \frac{x-1}{3}=\frac{y-2}{2}=\frac{z+1}{-2}$

View Question The variance $$\sigma^2$$ of the data
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View Question The area of the region enclosed by the parabola $$(y-2)^2=x-1$$, the line $$x-2 y+4=0$$ and the positive coordinate axes

View Question The number of symmetric relations defined on the set $$\{1,2,3,4\}$$ which are not reflexive is _________.

View Question Let $$\alpha=\sum_\limits{k=0}^n\left(\frac{\left({ }^n C_k\right)^2}{k+1}\right)$$ and $$\beta=\sum_\limits{k=0}^{n-1}\

View Question Let $$S_n$$ be the sum to $$n$$-terms of an arithmetic progression $$3,7,11$$,
If $$40

View Question ## Physics

If 50 Vernier divisions are equal to 49 main scale divisions of a traveling microscope and one smallest reading of main

View Question An electron revolving in $$n^{\text {th }}$$ Bohr orbit has magnetic moment $$\mu_n$$. If $$\mu_n \alpha \cdot n^x$$, th

View Question
In the given circuit, the voltage across load resistance (R$$_L$$) is :

View Question An alternating voltage $$V(t)=220 \sin 100 \pi t$$ volt is applied to a purely resistive load of $$50 \Omega$$. The time

View Question Choose the correct statement for processes A & B shown in figure.

View Question A block of mass $$m$$ is placed on a surface having vertical crossection given by $$y=x^2 / 4$$. If coefficient of frict

View Question A block of ice at $$-10^{\circ} \mathrm{C}$$ is slowly heated and converted to steam at $$100^{\circ} \mathrm{C}$$. Whic

View Question When a potential difference $$V$$ is applied across a wire of resistance $$R$$, it dissipates energy at a rate $$W$$. If

View Question Match List I with List II
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View Question In a nuclear fission reaction of an isotope of mass $$M$$, three similar daughter nuclei of same mass are formed. The sp

View Question For the photoelectric effect, the maximum kinetic energy $$\left(E_k\right)$$ of the photoelectrons is plotted against t

View Question A beam of unpolarised light of intensity $$I_0$$ is passed through a polaroid $$A$$ and then through another polaroid $$

View Question If three moles of monoatomic gas $$\left(\gamma=\frac{5}{3}\right)$$ is mixed with two moles of a diatomic gas $$\left(\

View Question Three blocks $$A, B$$ and $$C$$ are pulled on a horizontal smooth surface by a force of $$80 \mathrm{~N}$$ as shown in f

View Question A particle of charge '$$-q$$' and mass '$$m$$' moves in a circle of radius '$$r$$' around an infinitely long line charge

View Question Escape velocity of a body from earth is $$11.2 \mathrm{~km} / \mathrm{s}$$. If the radius of a planet be onethird the ra

View Question Projectiles A and B are thrown at angles of $$45^{\circ}$$ and $$60^{\circ}$$ with vertical respectively from top of a $

View Question If the total energy transferred to a surface in time $$\mathrm{t}$$ is $$6.48 \times 10^5 \mathrm{~J}$$, then the magnit

View Question If mass is written as $$m=k \mathrm{c}^{\mathrm{P}} G^{-1 / 2} h^{1 / 2}$$ then the value of $$P$$ will be : (Constants

View Question A block of mass $$1 \mathrm{~kg}$$ is pushed up a surface inclined to horizontal at an angle of $$60^{\circ}$$ by a forc

View Question A big drop is formed by coalescing 1000 small identical drops of water. If $$E_1$$ be the total surface energy of 1000 s

View Question A power transmission line feeds input power at $$2.3 \mathrm{~kV}$$ to a step down transformer with its primary winding

View Question The current of $$5 \mathrm{~A}$$ flows in a square loop of sides $$1 \mathrm{~m}$$ is placed in air. The magnetic field

View Question Two discs of moment of inertia $$I_1=4 \mathrm{~kg} \mathrm{~m}^2$$ and $$I_2=2 \mathrm{~kg} \mathrm{~m}^2$$, about thei

View Question A point source is emitting sound waves of intensity $$16 \times 10^{-8} \mathrm{~Wm}^{-2}$$ at the origin. The differenc

View Question Two resistance of $$100 \Omega$$ and $$200 \Omega$$ are connected in series with a battery of $$4 \mathrm{~V}$$ and negl

View Question Two identical charged spheres are suspended by strings of equal lengths. The strings make an angle of $$37^{\circ}$$ wit

View Question A simple pendulum is placed at a place where its distance from the earth's surface is equal to the radius of the earth.

View Question In an experiment to measure the focal length $$(f)$$ of a convex lens, the magnitude of object distance $$(x)$$ and the

View Question A vector has magnitude same as that of $$\vec{A}=3 \hat{i}+4 \hat{j}$$ and is parallel to $$\vec{B}=4 \hat{i}+3 \hat{j}$

View Question