JEE Advanced 2021 Paper 1 Online

Paper was held on
Sat, Oct 2, 2021 9:00 PM

## Chemistry

The major product formed in the following reaction of

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Among the following, the conformation that corresponds to the most stable conformation of meso-butane-2,3-diol is

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For the given close packed structure of a salt made of cation X and anion Y shown below (ions of only one face are shown

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The calculated spin only magnetic moments of [
Cr(NH3)6]3+ and [CuF6]3$$-$$ in BM, respectively, are(Atomic numbers of C

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For the following reaction scheme, percentage yields are given along the arrow:x g and y g are mass of R and U, respecti

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The value of y is ________.

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The value of standard enthalpy, $$\Delta$$Ho (in kJ mol$$-$$1) for the given reaction is _______.

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The value of $$\Delta$$S$$\theta$$ (in J K$$-$$1 mol$$-$$1) for the given reaction, at 1000 K is _________.

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The value of x is ________.

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The value of | y | is ________.

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Given : The compound(s), which on reaction with HNO3 will give the product having degree of rotation, [$$\alpha$$]D = $$

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The reaction of Q with PhSNa yields an organic compound (major product) that gives positive Carius test on treatment wit

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The correct statement(s) related to colloids is (are)

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An ideal gas undergoes a reversible isothermal expansion from state I to state II followed by a reversible adiabatic exp

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The correct statement(s) related to the metal extraction processes is (are) :

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A mixture of two salts is used to prepare a solution S, which gives the following results :The correct option(s) for the

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The maximum number of possible isomers (including stereoisomers) which may be formed on mono-bromination of 1-methylcycl

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In the reaction given below, the total number of atoms having sp2 hybridization in the major product P is _________.

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The total number of possible isomers for [Pt(NH3)4Cl2]Br2 is ______.

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## Mathematics

Consider a triangle $$\Delta$$ whose two sides lie on the x-axis and the line x + y + 1 = 0. If the orthocenter of $$\De

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The area of the region $$\left\{ {\matrix{
{(x,y):0 \le x \le {9 \over 4},} & {0 \le y \le 1,} & {x \ge 3y,}

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Consider three sets E1 = {1, 2, 3}, F1 = {1, 3, 4} and G1 = {2, 3, 4, 5}. Two elements are chosen at random, without rep

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Let $$\theta$$1, $$\theta$$2, ........, $$\theta$$10 = 2$$\pi$$. Define the complex numbers z1 = ei$$\theta$$1, zk = zk

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Three numbers are chosen at random, one after another with replacement, from the set S = {1, 2, 3, ......, 100}. Let p1

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Three numbers are chosen at random, one after another with replacement, from the set S = {1, 2, 3, ......, 100}. Let p1

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Let $$\alpha$$, $$\beta$$ and $$\gamma$$ be real numbers such that the system of linear equationsx + 2y + 3z = $$\alpha$

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Let $$\alpha$$, $$\beta$$ and $$\gamma$$ be real numbers such that the system of linear equationsx + 2y + 3z = $$\alpha$

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Consider the lines L1 and L2 defined by $${L_1}:x\sqrt 2 + y - 1 = 0$$ and $${L_2}:x\sqrt 2 - y + 1 = 0$$For a fixed c

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Consider the lines L1 and L2 defined by $${L_1}:x\sqrt 2 + y - 1 = 0$$ and $${L_2}:x\sqrt 2 - y + 1 = 0$$For a fixed c

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For any 3 $$\times$$ 3 matrix M, let | M | denote the determinant of M. Let$$E = \left[ {\matrix{
1 & 2 & 3

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Let f : R $$\to$$ R be defined by $$f(x) = {{{x^2} - 3x - 6} \over {{x^2} + 2x + 4}}$$Then which of the following statem

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Let E, F and G be three events having probabilities $$P(E) = {1 \over 8}$$, $$P(F) = {1 \over 6}$$ and $$P(G) = {1 \over

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For any 3 $$\times$$ 3 matrix M, let |M| denote the determinant of M. Let I be the 3 $$\times$$ 3 identity matrix. Let E

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For any positive integer n, let Sn : (0, $$\infty$$) $$\to$$ R be defined by $${S_n}(x) = \sum\nolimits_{k = 1}^n {{{\co

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For any complex number w = c + id, let $$\arg (w) \in ( - \pi ,\pi ]$$, where $$i = \sqrt { - 1} $$. Let $$\alpha$$ and

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For x $$\in$$ R, the number of real roots of the equation $$3{x^2} - 4\left| {{x^2} - 1} \right| + x - 1 = 0$$ is ______

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In a triangle ABC, let AB = $$\sqrt {23} $$, BC = 3 and CA = 4. Then the value of $${{\cot A + \cot C} \over {\cot B}}$$

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Let $$\overrightarrow u $$, $$\overrightarrow v $$ and $$\overrightarrow w $$ be vectors in three-dimensional space, whe

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## Physics

The smallest division on the main scale of a Vernier calipers is 0.1 cm. Ten divisions of the Vernier scale correspond t

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An ideal gas undergoes a four step cycle as shown in the P-V diagram below. During this cycle, heat is absorbed by the g

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An extended object is placed at point O, 10 cm in front of a convex lens L1 and a concave lens L2 is placed 10 cm behind

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A heavy nucleus Q of half-life 20 minutes undergoes alpha-decay with probability of 60% and beta-decay with probability

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A projectile is thrown from a point O on the ground at an angle 45$$^\circ$$ from the vertical and with a speed 5$$\sqrt

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A projectile is thrown from a point O on the ground at an angle 45$$^\circ$$ from the vertical and with a speed 5$$\sqrt

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In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor

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In the circuit shown below, the switch S is connected to position P for a long time so that the charge on the capacitor

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Two point charges $$-$$Q and +Q/$$\sqrt 3 $$ are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respect

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Two point charges $$-$$Q and +Q/$$\sqrt 3 $$ are placed in the xy-plane at the origin (0, 0) and a point (2, 0), respect

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A horizontal force F is applied at the center of mass of a cylindrical object of mass m and radius R, perpendicular to i

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A wide slab consisting of two media of refractive indices n1 and n2 is placed in air as shown in the figure. A ray of li

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A particle of mass M = 0.2 kg is initially at rest in the xy-plane at a point (x = $$-$$l, y = $$-$$h), where l = 10 m a

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Which of the following statement(s) is(are) correct about the spectrum of the hydrogen atom?

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A long straight wire carries a current, I = 2 ampere. A semi-circular conducting rod is placed beside it on two conducti

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A cylindrical tube, with its base as shown in the figure, is filled with water. It is moving down with a constant accele

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An $$\alpha$$-particle (mass 4 amu) and a singly charged sulphur ion (mass 32 amu) are initially at rest. They are accel

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A thin rod of mass M and length a is free to rotate in horizontal plane about a fixed vertical axis passing through poin

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A small object is placed at the center of a large evacuated hollow spherical container. Assume that the container is mai

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