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JEE Advanced 2021 Paper 2 Online

Exam Held on Sun Oct 03 2021 14:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The reaction sequence(s) that would lead to o-xylene as the major product is(are...
Correct option(s) for the following sequence of reactions is(are)<br><br> <img s...
For the following reaction, <br/>$$2X + Y\buildrel k \over \longrightarrow P$$ ...
Some standard electrode potentials at 298 K are given below :<br><br>Pb<sup>2+</...
The pair(s) of complexes wherein both exhibit tetrahedral geometry is(are)<br><b...
The correct statement(s) related to oxoacids of phosphorous is(are)
At 298 K, the limiting molar conductivity of a weak monobasic acid is 4 $$\times...
At 298 K, the limiting molar conductivity of a weak monobasic acid is 4 $$\times...
Reaction of x g of Sn with HCl quantitatively produced a salt. Entire amount of ...
Reaction of x g of Sn with HCl quantitatively produced a salt. Entire amount of ...
A sample (5.6 g) containing iron is completely dissolved in cold dilute HCl to p...
A sample (5.6 g) containing iron is completely dissolved in cold dilute HCl to p...
Correct match of the C-H bonds (shown in bold) in Column J with their BDE in Col...
For the following reaction<br><br>CH<sub>4</sub>(g) + Cl<sub>2</sub>(g) $$\build...
Precipitate X is
Among the following, the brown ring is due to the formation of
One mole of an ideal gas at 900 K, undergoes two reversible processes, I followe...
Consider a helium (He) atom that absorbs a photon of wavelength 330 nm. The chan...
Ozonolysis of ClO<sub>2</sub> produces an oxide of chlorine. The average oxidati...

Mathematics

Let <br><br>$${S_1} = \left\{ {(i,j,k):i,j,k \in \{ 1,2,....,10\} } \right\}$$,<...
Consider a triangle PQR having sides of lengths p, q and r opposite to the angle...
Let $$f:\left[ { - {\pi \over 2},{\pi \over 2}} \right] \to R$$ be a continuou...
For any real numbers $$\alpha$$ and $$\beta$$, let $${y_{\alpha ,\beta }}(x)$$, ...
Let O be the origin and $$\overrightarrow {OA} = 2\widehat i + 2\widehat j + \w...
Let E denote the parabola y<sup>2</sup> = 8x. Let P = ($$-$$2, 4), and let Q and...
Consider the region R = {(x, y) $$\in$$ R $$\times$$ R : x $$\ge$$ 0 and y<sup>2...
Consider the region R = {(x, y) $$\in$$ R $$\times$$ R : x $$\ge$$ 0 and y<sup>2...
Let f<sub>1</sub> : (0, $$\infty$$) $$\to$$ R and f<sub>2</sub> : (0, $$\infty$$...
Let f<sub>1</sub> : (0, $$\infty$$) $$\to$$ R and f<sub>2</sub> : (0, $$\infty$$...
Let $${g_i}:\left[ {{\pi \over 8},{{3\pi } \over 8}} \right] \to R,i = 1,2$$, a...
Let $${g_i}:\left[ {{\pi \over 8},{{3\pi } \over 8}} \right] \to R,i = 1,2$$, a...
Consider M with $$r = {{1025} \over {513}}$$. Let k be the number of all those c...
Consider M with $$r = {{({2^{199}} - 1)\sqrt 2 } \over {{2^{198}}}}$$. The numbe...
Which of the following statements is TRUE?
Which of the following statements is TRUE?
A number of chosen at random from the set {1, 2, 3, ....., 2000}. Let p be the p...
Let E be the ellipse $${{{x^2}} \over {16}} + {{{y^2}} \over 9} = 1$$. For any t...
For any real number x, let [ x ] denote the largest integer less than or equal t...

Physics

One end of a horizontal uniform beam of weight W and length L is hinged on a ver...
A source, approaching with speed u towards the open end of a stationary pipe of ...
For a prism of prism angle $$\theta$$ = 60$$^\circ$$, the refractive indices of ...
A physical quantity $$\overrightarrow S $$ is defined as $$\overrightarrow S = ...
A heavy nucleus N, at rest, undergoes fission N $$\to$$ P + Q, where P and Q are...
Two concentric circular loops, one of radius R and the other of radius 2R, lie i...
A soft plastic bottle, filled with water of density 1 gm/cc, carries an inverted...
A soft plastic bottle, filled with water of density 1 gm/cc, carries an inverted...
A pendulum consists of a bob of mass m = 0.1 kg and a massless inextensible stri...
A pendulum consists of a bob of mass m = 0.1 kg and a massless inextensible stri...
In a circuit, a metal filament lamp is connected in series with a capacitor of c...
In a circuit, a metal filament lamp is connected in series with a capacitor of c...
When the dipole m is placed at a distance r from the center of the loop (as show...
The work done in bringing the dipole from infinity to a distance r from the cent...
The value of $${{{T_R}} \over {{T_0}}}$$ is
The value of $${Q \over {R{T_0}}}$$ is
In order to measure the internal resistance r<sub>1</sub> of a cell of emf E, a ...
The distance between two stars of masses 3M<sub>S</sub> and 6M<sub>S</sub> is 9R...
In a photoemission experiment, the maximum kinetic energies of photoelectrons fr...

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