Q JEE Advanced 2024

List-I contains various reaction sequences and List-II contains the possible products. Match each entry in List-I with the appropriate entry...

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An organic compound $\mathbf{P}$ having molecular formula $\mathrm{C}_6 \mathrm{H}_6 \mathrm{O}_3$ gives ferric chloride test and does not have intramolecular hydrogen...

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Q JEE Advance 2024

Among $\left[\mathrm{Co}(\mathrm{CN})_4\right]^4,\left[\mathrm{Co}(\mathrm{CO})_3\left(\mathrm{NO}_2\right)\right], \mathrm{XeF}_4,\left[\mathrm{PCl}_4\right]^{+},\left[\mathrm{PdCl}_4\right]^{2-},\left[\mathrm{Cl}_4\right]^{-},\left[\mathrm{Cu}(\mathrm{CN})_4\right]^{3-}$ and $\mathrm{P}_4$ the total number of species with tetrahedral geometry is $\_\_\_\_$ .

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Q JEE Advance 2024

An organic compound P with molecular formula C9H18O2 decolorizes bromine water and also shows positive iodoform test. P on ozonolysis...

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Q JEE Advance 2024

A sample initially contains only U-238 isotope of uranium. With time, some of the U-238 radioactively decays into Pb206 while...

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Q JEE Advance 2024

For a double strand DNA, one strand is given below: The amount of energy required to split the double strand...

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Q JEE Advance 2024

An organic compound P with molecular formula C9H18O2 decolorizes bromine water and also shows positive iodoform test. P on ozonolysis...

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Q JEE Advanced 2024

Let $f: R \rightarrow R$ and $g: R \rightarrow R$ be functions defined by $...

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Q JEE Advance 2024

Vessel- 1 contains $\mathbf{w}_2 g$ of a non-volatile solute $\mathbf{X}$ dissolved in $\mathbf{w}_1 g$ of water. Vessel- 2 contains $...

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Q JEE Advanced 2024

Let $\gamma \in R$ be such that the lines $L_1: \frac{x+11}{1}=\frac{y+21}{2}=\frac{z+29}{3}$ and $L_2: \frac{x+16}{3}=\frac{y+11}{2}=\frac{z+4}{\gamma}$ intersect. Let $R_1$ be the point...

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To form a complete monolayer of acetic acid on 1 g of charcoal, 100 mL of 0.5 M acetic acid...

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When potassium iodide is added to an aqueous solution of potassium ferricyanide, a reversible reaction is observed in which a...

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Q JEE Advance 2024

The compound(s) having peroxide linkage is(are)

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Let the straight line $\mathrm{y}=2 \mathrm{x}$ touch a circle with center $(0, \alpha), \alpha>0$, and radius $r$ at a point...

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Q JEE Advance 2024

The option(s) with correct sequence of reagents for the conversion of $\mathbf{P}$ to $\mathbf{Q}$ is(are)

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Q JEE Advance 2024

When potassium iodide is added to an aqueous solution of potassium ferricyanide, a reversible reaction is observed in which a...

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Q JEE Advanced 2024

Let $\alpha$ and $\beta$ be the distinct roots of the equation $x^2+x-1=0$. Consider the set $T=\{1, \alpha, \beta\}$. For a...

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Q JEE Advance 2024

An aqueous solution of hydrazine $\left(\mathrm{N}_2 \mathrm{H}_4\right)$ is electrochemically oxidized by $\mathrm{O}_2$, thereby releasing chemical ehergy in the form of...

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Q JEE Advance 2024

Let $f:\left[0, \frac{\pi}{2}\right] \rightarrow[0,1]$ be the function defined by $f(x)=\sin ^2 x$ and let $g:\left[0, \frac{\pi}{2}\right] \rightarrow[0, \infty)$ be the...

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Q JEE Advance 2024

The species formed on fluorination of phosphorus pentachloride in a polar organic solvent are

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Q JEE Advance 2024

In the following reaction sequence, the major product $Q$ is

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Q JEE Advanced 2024

Let $X$ be a random variable, and let $P(X=x)$ denote the probability that $X$ takes the value $x$. Suppose that...

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Q JEE Advanced 2024

Let $\quad \overrightarrow{O P}=\frac{\alpha-1}{\alpha} \hat{i}+\hat{j}+\hat{k}, \overrightarrow{O Q}=\hat{i}+\frac{\beta-1}{\beta} \hat{j}+\hat{k} \quad$ and $\quad \overrightarrow{O R}=\hat{i}+\hat{j}+\frac{1}{2} \hat{k} \quad$ be three vectors, where $...

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A group of 9 students, $s_1, s_2, \ldots, s_9$, is to be divided to form three teams $\mathrm{X}, \mathrm{Y}$ and,...

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Q JEE Advanced 2024

Let $...

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In a metal deficient oxide sample, $\mathrm{Mx}_2 \mathrm{Y}_4$ ( M and Y are metals), M is present in both +2...

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Let $f(x)=x^4+a x^3+b x^2+c$ be a polynomial with real coefficients such that $f(1)=-9$. Suppose that $i \sqrt{3}$ is a root...

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Q JEE Advanced 2024

Let $a=3 \sqrt{2}$ and $b=\frac{1}{5^{\frac{1}{6}} \sqrt{6}}$. If $x, y \in R$ are such that $3 x+2 y=\log _a(18)^{\frac{5}{4}}$ and $...

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Let $R^3$ denote the three-dimensional space. Take two points $P=(1,2,3)$ and $Q=(4,2,7)$. Let dist $(X, Y)$ denote the distance between...

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Q JEE Advance 2024

Let $f:\left[0, \frac{\pi}{2}\right] \rightarrow[0,1]$ be the function defined by $f(x)=\sin ^2 x$ and let $g:\left[0, \frac{\pi}{2}\right] \rightarrow[0, \infty)$ be the...

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Q JEE Advance 2024

Two particles, 1 and 2, each of mass $m$, are connected by a massless spring, and are on a horizontal...

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Q JEE Advanced 2024

Let $S=\{a+b \sqrt{2}: a, b \in Z\}, T_1=\left\{(-1+\sqrt{2})^n: n \in N\right\}$ and $T_2=\left\{(1+\sqrt{2})^n: n \in N\right\}$. Then which of the...

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Q JEE Advanced 2024

Consider the ellipse $\frac{x^2}{9}+\frac{y^2}{4}=1$. Let $S(p, q)$ be a point in the first quadrant such that $\frac{p^2}{9}+\frac{q^2}{4}>1$. Two tangents are...

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Q JEE Advance 2024

Two particles, 1 and 2, each of mass $m$, are connected by a massless spring, and are on a horizontal...

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Q JEE Advance 2024

Let $S=\{1,2,3,4,5,6\}$ and $X$ be the set of all relations $R$ from $S$ to $S$ that satisfy both the following...

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Q JEE Advance 2024

Let $S=\{1,2,3,4,5,6\}$ and $X$ be the set of all relations $R$ from $S$ to $S$ that satisfy both the following...

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Q JEE Advanced 2024

A student appears for a quiz consisting of only true-false type questions and answers all the questions. The student knows...

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Q JEE Advance 2024

In a Young's double slit experiment, each of the two slits $A$ and $B$, as shown in the figure, are...

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A normal with slope $\frac{1}{\sqrt{6}}$ is drawn from the point $(0,-\alpha)$ to the parabola $x^2=-4 a y$, where $a>0$. Let...

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Q JEE Advanced 2024

Let $f(x)$ be a continuously differentiable function on the interval $(0, \infty)$ such that $f(1)=2$ and $...

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In a Young's double slit experiment, each of the two slits $A$ and $B$, as shown in the figure, are...

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Q JEE Advanced 2024

Based on VSEPR model, match the xenon compounds given in List-I with the corresponding. geometries and the number of lone...

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Q JEE Advanced 2024

In a conductometric titration, small volume of titrant of higher concentration is added stepwise to a larger volume of titrate...

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Q JEE Advance 2024

A spherical soap bubble inside an air chamber at pressure $P_0=10^5 \mathrm{~Pa}$ has a certain radius so that the excess...

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Q JEE Advanced 2024

Among the following complexes, the total number of diamagnetic species is $\_\_\_\_$ . $ \left[\mathrm{Mn}\left(\mathrm{NH}_3\right)_6\right]^{3+},\left[\mathrm{MnCl}_6\right]^{3-},\left[\mathrm{FeF}_6\right]^{3-},\left[\mathrm{CoF}_6\right]^{3-},\left[\mathrm{Fe}\left(\mathrm{NH}_3\right)_6\right]^{3+} \text { and }\left[\mathrm{Co}(\mathrm{en})_3\right]^{3+} $...

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Q JEE Advance 2024

Let $\vec{p}=2 \hat{i}+\hat{j}+3 \hat{k}$ and $\vec{q}=\hat{i}-\hat{j}+\hat{k}$. If for some real numbers $\alpha, \beta$ and $\gamma$, we have $...

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Q JEE Advanced 2024

In the following reaction sequence, the major product P is formed . Glycerol reacts completely with excess $\mathbf{P}$ in the...

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Q JEE Advanced 2024

Among $\mathrm{V}(\mathrm{CO})_6, \mathrm{Cr}(\mathrm{CO})_5, \mathrm{Cu}(\mathrm{CO})_3, \mathrm{Mn}(\mathrm{CO})_5, \mathrm{Fe}(\mathrm{CO})_5,\left[\mathrm{Co}(\mathrm{CO})_3\right]^{3-},\left[\mathrm{Cr}(\mathrm{CO})_4\right]^{4-}$, and $\mathrm{Ir}(\mathrm{CO})_3$, the total number of species isoelectronic with $\mathrm{Ni}(\mathrm{CO})_4$ is [Given atomic number...

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An infinitely long thin wire, having a uniform charge density per unit length of $5 \mathrm{nC} / \mathrm{m}$, is passing...

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A bag contains N balls out of which 3 balls are white, 6 balls are green, and the remaining balls...

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Complete reaction of acetaldehyde with excess formaldehyde, upon heating with conc. NaOH solution, gives $\mathbf{P}$ and $\mathbf{Q}$. Compound $\mathbf{P}$ does...

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Q JEE Advanced 2024

Consider the following reaction,

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Consider the following volume-temperature (V-T) diagram for the expansion of 5 moles of an ideal monoatomic gas. Considering only $\mathrm{P}-\mathrm{V}$...

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Q JEE Advanced 2024

The option(s) in which at least three molecules follow Octet Rule is(are)

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Reaction of iso-propylbenzene with $\mathrm{O}_2$ followed by the treatment with $\mathrm{H}_3 \mathrm{O}^{+}$forms phenol and a by-product $\mathbf{P}$. Reaction of $\mathbf{P}$...

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Let $f: R \rightarrow R$ be a function such that $f(x+y)=f(x)+f(y)$ for all $x, y \in R$, and $...

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Q JEE Advanced 2024

Among the following the correct statement(s) for electrons in an atom is(are)[

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Q JEE Advanced 2024

Among the following options, select the option in which each complex in Set-I shows geometrical isomerism and the two complexes...

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Q JEE Advance 2024

Aspartame, an artificial sweetener, is a dipeptide aspartyl phenylalanine methyl ester. The structure of aspartame is

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Q JEE Advance 2024

At room temperature, disproportionation of an aqueous solution of in situ generated nitrous acid ( $\mathrm{HNO}_2$ ) gives the species

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A closed vessel contains 10 g of an ideal gas X at 300 K, which exerts 2 atm pressure. At...

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Let $A_1, B_1, C_1$ be three points in the xy-plane. Suppose that the lines $A_1 C_1$ and $B_1 C_1$ are...

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Q JEE Advance 2024

Two equilateral-triangular prisms $P_1$ and $P_2$ are kept with their sides parallel to each other, in vacuum, as shown in...

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A straight line drawn from the point $P(1,3,2)$, parallel to the line $\frac{x-2}{1}=\frac{y-4}{2}=\frac{z-6}{1}$, intersects the plane $L_1: x-y+3 z=6$ at...

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A charge is kept at the central point $P$ of a cylindrical region. The two edges subtend a half-angle $\theta$...

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A ball is thrown from the location $\left(x_0, y_0\right)=(0,0)$ of a horizontal playground with an initial speed $v_0$ at an...

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The dimensions of a cone are measured using a scale with a least count of 2 mm . The diameter...

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Two large, identical water tanks, 1 and 2, kept on the top of a building of height $H$, are filled...

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One mole of a monatomic ideal gas undergoes the cyclic process $J \rightarrow K \rightarrow L \rightarrow M \rightarrow J$,...

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A thin uniform rod of length $L$ and certain mass is kept on a frictionless horizontal table with a massless...

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A source $(S)$ of sound has frequency 240 Hz . When the observer $(O)$ and the source move towards each...

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A point source S emits unpolarized light uniformly in all directions. At two points A and B , the ratio...

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A disc of mass $M$ and radius $R$ is free to rotate about its vertical axis as shown in the...

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The specific heat capacity of a substance is temperature dependent and is given by the formula $C=k T$, where $k$...

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A glass beaker has a solid, plano-convex base of refractive index 1.60, as shown in the figure. The radius of...

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Two uniform strings of mass per unit length $\mu$ and $4 \mu$, and length $L$ and 2 L , respectively,...

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A particle of mass $m$ is moving in a circular orbit under the influence of the central force $F(r)=-k r$,...

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A block of mass 5 kg moves along the $x$-direction subject to the force $F=(-20 x+10) \mathrm{N}$, with the value...

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A dimensionless quantity is constructed in terms of electronic charge e , permittivity of free space $\varepsilon_0$, Planck's constant $h$,...

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The circuit shown in the figure contains an inductor $L$, a capacitor $C_0$, a resistor $R_0$ and an ideal battery....

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A light ray is incident on the surface of a sphere of refractive index $n$ at an angle of incidence...

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Four identical thin, square metal sheets, $S_1, S_2, S_3$, and $S_4$, each of side a are kept parallel to each...

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A positive, singly ionized atom of mass number $A_M$ is accelerated from rest by the voltage 192 V . Thereafter,...

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A table tennis ball has radius $(3 / 2) \times 10^{-2} \mathrm{~m}$ and mass $(22 / 7) \times 10^{-2} \mathrm{~kg}$....

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Q JEE Advance 2024

Let S be the set of all $(\alpha, \beta) \in R \times R$ such that $$ \lim _{x \rightarrow \infty}...

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A small electric dipole $\vec{p}_0$, having a moment of inertia / about its center, is kept at a distance $r$...

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Let $f: \mathbb{R} \rightarrow \mathbb{R}$ be a function defined by $$ f(x)=\left\{\begin{array}{cc} x^2 \sin \left(\frac{\pi}{x^2}\right), & \text { if }...

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A thin stiff insulated metal wire is bent into a circular loop with its two ends extending tangentially from the...

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A metal target with atomic number $Z=46$ is bombarded with a high energy electron beam. The emission of X -rays...

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Q JEE Advanced 2024

A particle of mass $m$ is under the influence of the gravitational field of a body of mass $M(\gg m)$....

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Q JEE ADVANCED 2024

An infinitely long wire, located on the $z$-axis, carries a current $/$ along the $+z$-direction and produces the magnetic field...

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Let $k \in R$. If $\lim _{x \rightarrow 0+}(\sin (\sin k x)+\cos x+x)^{\frac{2}{x}}=e^6$, then the value of k is

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Q JEE Advanced 2024

Let $...

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Considering only the principal values of the inverse trigonometric functions, the value of $\tan \left(\sin ^{-1}\left(\frac{3}{5}\right)-2 \cos ^{-1}\left(\frac{2}{\sqrt{5}}\right)\right)$ is

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