JEE Advanced 2021 Paper 2 Online

Paper was held on
Sun, Oct 3, 2021 2:30 AM

## Chemistry

The reaction sequence(s) that would lead to o-xylene as the major product is(are)

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Correct option(s) for the following sequence of reactions is(are)

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For the following reaction,
$$2X + Y\buildrel k \over
\longrightarrow P$$ the rate of reaction is $${{d[P]} \over {dt}}

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Some standard electrode potentials at 298 K are given below :Pb2+ /Pb $$-$$ 0.13 VNi2+ /Ni $$-$$ 0.24 VCd2+ /Cd $$-$$ 0.

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The pair(s) of complexes wherein both exhibit tetrahedral geometry is(are)(Note : py = pyridine)Given : Atomic numbers o

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The correct statement(s) related to oxoacids of phosphorous is(are)

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At 298 K, the limiting molar conductivity of a weak monobasic acid is 4 $$\times$$ 102 S cm2 mol$$-$$1. At 298 K, for an

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At 298 K, the limiting molar conductivity of a weak monobasic acid is 4 $$\times$$ 102 S cm2 mol$$-$$1. At 298 K, for an

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Reaction of x g of Sn with HCl quantitatively produced a salt. Entire amount of the salt reacted with y g of nitrobenzen

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Reaction of x g of Sn with HCl quantitatively produced a salt. Entire amount of the salt reacted with y g of nitrobenzen

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A sample (5.6 g) containing iron is completely dissolved in cold dilute HCl to prepare a 250 mL of solution. Titration o

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A sample (5.6 g) containing iron is completely dissolved in cold dilute HCl to prepare a 250 mL of solution. Titration o

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Correct match of the C-H bonds (shown in bold) in Column J with their BDE in Column K is
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For the following reactionCH4(g) + Cl2(g) $$\buildrel {light} \over
\longrightarrow $$ CH3Cl(g) + HCl (g)the correct st

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Precipitate X is

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Among the following, the brown ring is due to the formation of

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One mole of an ideal gas at 900 K, undergoes two reversible processes, I followed by II, as shown below. If the work don

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Consider a helium (He) atom that absorbs a photon of wavelength 330 nm. The change in the velocity (in cm s$$-$$1) of He

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Ozonolysis of ClO2 produces an oxide of chlorine. The average oxidation state of chlorine in this oxide is __________.

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## Mathematics

Let $${S_1} = \left\{ {(i,j,k):i,j,k \in \{ 1,2,....,10\} } \right\}$$,$${S_2} = \left\{ {(i,j):1 \le i < j + 2 \le 1

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Consider a triangle PQR having sides of lengths p, q and r opposite to the angles P, Q and R, respectively. Then which o

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Let $$f:\left[ { - {\pi \over 2},{\pi \over 2}} \right] \to R$$ be a continuous function such that $$f(0) = 1$$ and $$

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For any real numbers $$\alpha$$ and $$\beta$$, let $${y_{\alpha ,\beta }}(x)$$, x$$\in$$R, be the solution of the differ

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Let O be the origin and $$\overrightarrow {OA} = 2\widehat i + 2\widehat j + \widehat k$$ and $$\overrightarrow {OB} =

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Let E denote the parabola y2 = 8x. Let P = ($$-$$2, 4), and let Q and Q' be two distinct points on E such that the lines

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Consider the region R = {(x, y) $$\in$$ R $$\times$$ R : x $$\ge$$ 0 and y2 $$\le$$ 4 $$-$$ x}. Let F be the family of a

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Consider the region R = {(x, y) $$\in$$ R $$\times$$ R : x $$\ge$$ 0 and y2 $$\le$$ 4 $$-$$ x}. Let F be the family of a

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Let f1 : (0, $$\infty$$) $$\to$$ R and f2 : (0, $$\infty$$) $$\to$$ R be defined by $${f_1}(x) = \int\limits_0^x {\prod\

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Let f1 : (0, $$\infty$$) $$\to$$ R and f2 : (0, $$\infty$$) $$\to$$ R be defined by $${f_1}(x) = \int\limits_0^x {\prod\

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Let $${g_i}:\left[ {{\pi \over 8},{{3\pi } \over 8}} \right] \to R,i = 1,2$$, and $$f:\left[ {{\pi \over 8},{{3\pi } \

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Let $${g_i}:\left[ {{\pi \over 8},{{3\pi } \over 8}} \right] \to R,i = 1,2$$, and $$f:\left[ {{\pi \over 8},{{3\pi } \

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Consider M with $$r = {{1025} \over {513}}$$. Let k be the number of all those circles Cn that are inside M. Let l be th

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Consider M with $$r = {{({2^{199}} - 1)\sqrt 2 } \over {{2^{198}}}}$$. The number of all those circles Dn that are insid

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Which of the following statements is TRUE?

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Which of the following statements is TRUE?

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A number of chosen at random from the set {1, 2, 3, ....., 2000}. Let p be the probability that the chosen number is a m

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Let E be the ellipse $${{{x^2}} \over {16}} + {{{y^2}} \over 9} = 1$$. For any three distinct points P, Q and Q' on E, l

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For any real number x, let [ x ] denote the largest integer less than or equal to x. If $$I = \int\limits_0^{10} {\left[

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## Physics

One end of a horizontal uniform beam of weight W and length L is hinged on a vertical wall at point O and its other end

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A source, approaching with speed u towards the open end of a stationary pipe of length L, is emitting a sound of frequen

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For a prism of prism angle $$\theta$$ = 60$$^\circ$$, the refractive indices of the left half and the right half are, re

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A physical quantity $$\overrightarrow S $$ is defined as $$\overrightarrow S = (\overrightarrow E \times \overrightarr

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A heavy nucleus N, at rest, undergoes fission N $$\to$$ P + Q, where P and Q are two lighter nuclei. Let $$\delta$$ = MN

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Two concentric circular loops, one of radius R and the other of radius 2R, lie in the xy-plane with the origin as their

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A soft plastic bottle, filled with water of density 1 gm/cc, carries an inverted glass test-tube with some air (ideal ga

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A soft plastic bottle, filled with water of density 1 gm/cc, carries an inverted glass test-tube with some air (ideal ga

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A pendulum consists of a bob of mass m = 0.1 kg and a massless inextensible string of length L = 1.0 m. It is suspended

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A pendulum consists of a bob of mass m = 0.1 kg and a massless inextensible string of length L = 1.0 m. It is suspended

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In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C $$\mu$$F across a 200 V, 50

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In a circuit, a metal filament lamp is connected in series with a capacitor of capacitance C $$\mu$$F across a 200 V, 50

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When the dipole m is placed at a distance r from the center of the loop (as shown in the figure), the current induced in

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The work done in bringing the dipole from infinity to a distance r from the center of the loop by the given process is p

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The value of $${{{T_R}} \over {{T_0}}}$$ is

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The value of $${Q \over {R{T_0}}}$$ is

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In order to measure the internal resistance r1 of a cell of emf E, a meter bridge of wire resistance R0 = 50$$\Omega$$,

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The distance between two stars of masses 3MS and 6MS is 9R. Here R is the mean distance between the centers of the Earth

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In a photoemission experiment, the maximum kinetic energies of photoelectrons from metals P, Q and R are EP, EQ and ER,

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