JEE Main 2022 (Online) 26th June Evening Shift

Paper was held on
Sun, Jun 26, 2022 9:30 AM

## Chemistry

The number of radial and angular nodes in 4d orbital are, respectively

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Match List-I with List-II
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Which of the following elements is considered as a metalloid?

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The role of depressants in 'Froth Flotation method' is to

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Boiling of hard water is helpful in removing the temporary hardness by converting calcium hydrogen carbonate and magnesi

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s-block element which cannot be qualitatively confirmed by the flame test is

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The oxide which contains an odd electron at the nitrogen atom is

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Which one of the following is an example of disproportionation reaction ?

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The most common oxidation state of Lanthanoid elements is +3. Which of the following is likely to deviate easily from +3

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The measured BOD values for four different water samples (A-D) are as follows: A = 3 ppm; B = 18 ppm; C = 21 ppm; D = 4

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The correct order of nucleophilicity is

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Oxidation of toluene to benzaldehyde can be easily carried out with which of the following reagents?

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The major product in the following reaction

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Halogenation of which one of the following will yield m-substituted product with respect to methyl group as a major prod

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The reagent, from the following, which converts benzoic acid to benzaldehyde in one step is

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The final product 'A' in the following reaction sequence

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Which statement is NOT correct for p-toluenesulphonyl chloride?

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The final product 'C' in the following series of reactions

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Which of the following is NOT an example of synthetic detergent?

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Which one of the following is a water soluble vitamin, that is not excreted easily?

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CNG is an important transportation fuel. When 100 g CNG is mixed with 208 g oxygen in vehicles, it leads to the formatio

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In a solid AB, A atoms are in ccp arrangement and B atoms occupy all the octahedral sites. If two atoms from the opposit

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Amongst SF4, XeF4, CF4 and H2O, the number of species with two lone pairs of electrons is _____________.

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A fish swimming in water body when taken out from the water body is covered with a film of water of weight 36 g. When it

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The osmotic pressure exerted by a solution prepared by dissolving 2.0 g of protein of molar mass 60 kg mol$$-$$1 in 200

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40% of HI undergoes decomposition to H2 and I2 at 300 K. $$\Delta$$G$$^\Theta $$ for this decomposition reaction at one

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Cu(s) + Sn2+ (0.001M) $$\to$$ Cu2+ (0.01M) + Sn(s)
The Gibbs free energy change for the above reaction at 298 K is x $$\

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Catalyst A reduces the activation energy for a reaction by 10 kJ mol$$-$$1 at 300 K. The ratio of rate constants, $${{{}

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Reaction of [Co(H2O)6]2+ with excess ammonia and in the presence of oxygen results into a diamagnetic product. Number of

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The moles of methane required to produce 81 g of water after complete combustion is _____________ $$\times$$ 10$$-$$2 mo

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## Mathematics

Let f : R $$\to$$ R be defined as f (x) = x $$-$$ 1 and g : R $$-$$ {1, $$-$$1} $$\to$$ R be defined as $$g(x) = {{{x^2}

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If the system of equations
$$\alpha$$x + y + z = 5, x + 2y + 3z = 4, x + 3y + 5z = $$\beta$$
has infinitely many solutio

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If $$A = \sum\limits_{n = 1}^\infty {{1 \over {{{\left( {3 + {{( - 1)}^n}} \right)}^n}}}} $$ and $$B = \sum\limits_{n =

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$$\mathop {\lim }\limits_{x \to 0} {{\cos (\sin x) - \cos x} \over {{x^4}}}$$ is equal to :

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Let f(x) = min {1, 1 + x sin x}, 0 $$\le$$ x $$\le$$ 2$$\pi $$. If m is the number of points, where f is not differentia

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Consider a cuboid of sides 2x, 4x and 5x and a closed hemisphere of radius r. If the sum of their surface areas is a con

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The area of the region bounded by y2 = 8x and y2 = 16(3 $$-$$ x) is equal to:

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If $$\int {{1 \over x}\sqrt {{{1 - x} \over {1 + x}}} dx = g(x) + c} $$, $$g(1) = 0$$, then $$g\left( {{1 \over 2}} \rig

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If $$y = y(x)$$ is the solution of the differential equation $$x{{dy} \over {dx}} + 2y = x\,{e^x}$$, $$y(1) = 0$$ then t

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If the solution of the differential equation $${{dy} \over {dx}} + {e^x}\left( {{x^2} - 2} \right)y = \left( {{x^2} - 2x

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If m is the slope of a common tangent to the curves $${{{x^2}} \over {16}} + {{{y^2}} \over 9} = 1$$ and $${x^2} + {y^2}

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The locus of the mid point of the line segment joining the point (4, 3) and the points on the ellipse $${x^2} + 2{y^2} =

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The normal to the hyperbola $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over 9} = 1$$ at the point $$\left( {8,3\sqrt 3 } \rig

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If the plane $$2x + y - 5z = 0$$ is rotated about its line of intersection with the plane $$3x - y + 4z - 7 = 0$$ by an

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If the lines $$\overrightarrow r = \left( {\widehat i - \widehat j + \widehat k} \right) + \lambda \left( {3\widehat j

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Let $$\overrightarrow a = \widehat i + \widehat j + 2\widehat k$$, $$\overrightarrow b = 2\widehat i - 3\widehat j + \

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The mean and standard deviation of 50 observations are 15 and 2 respectively. It was found that one incorrect observatio

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$$16\sin (20^\circ )\sin (40^\circ )\sin (80^\circ )$$ is equal to :

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If the inverse trigonometric functions take principal values then $${\cos ^{ - 1}}\left( {{3 \over {10}}\cos \left( {{{\

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Let r $$\in$$ {p, q, $$\sim$$p, $$\sim$$q} be such that the logical statement
r $$\vee$$ ($$\sim$$p) $$\Rightarrow$$ (p

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Let f : R $$\to$$ R satisfy $$f(x + y) = {2^x}f(y) + {4^y}f(x)$$, $$\forall$$x, y $$\in$$ R. If f(2) = 3, then $$14.\,{{

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Let p and q be two real numbers such that p + q = 3 and p4 + q4 = 369. Then $${\left( {{1 \over p} + {1 \over q}} \right

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If $${z^2} + z + 1 = 0$$, $$z \in C$$, then $$\left| {\sum\limits_{n = 1}^{15} {{{\left( {{z^n} + {{( - 1)}^n}{1 \over {

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Let $$X = \left[ {\matrix{
0 & 1 & 0 \cr
0 & 0 & 1 \cr
0 & 0 & 0 \cr
} } \right],\,Y = \alpha I + \beta

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The total number of 3-digit numbers, whose greatest common divisor with 36 is 2, is ___________.

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If $$\left( {{}^{40}{C_0}} \right) + \left( {{}^{41}{C_1}} \right) + \left( {{}^{42}{C_2}} \right) + \,\,.....\,\, + \,\

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If a1 (> 0), a2, a3, a4, a5 are in a G.P., a2 + a4 = 2a3 + 1 and 3a2 + a3 = 2a4, then a2 + a4 + 2a5 is equal to ________

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The integral $${{24} \over \pi }\int_0^{\sqrt 2 } {{{(2 - {x^2})dx} \over {(2 + {x^2})\sqrt {4 + {x^4}} }}} $$ is equal

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Let a line L1 be tangent to the hyperbola $${{{x^2}} \over {16}} - {{{y^2}} \over 4} = 1$$ and let L2 be the line passin

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If the probability that a randomly chosen 6-digit number formed by using digits 1 and 8 only is a multiple of 21 is p, t

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## Physics

The dimension of mutual inductance is :

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In the arrangement shown in figure a1, a2, a3 and a4 are the accelerations of masses m1, m2, m3 and m4 respectively. Whi

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Arrange the four graphs in descending order of total work done; where W1, W2, W3 and W4 are the work done corresponding

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A solid spherical ball is rolling on a frictionless horizontal plane surface about its axis of symmetry. The ratio of ro

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Given below are two statements : One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A : If

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If p is the density and $$\eta$$ is coefficient of viscosity of fluid which flows with a speed v in the pipe of diameter

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A flask contains argon and oxygen in the ratio of 3 : 2 in mass and the mixture is kept at 27$$^\circ$$C. The ratio of t

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The charge on capacitor of capacitance 15$$\mu$$F in the figure given below is :

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A parallel plate capacitor with plate area A and plate separation d = 2 m has a capacitance of 4 $$\mu$$F. The new capac

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Sixty four conducting drops each of radius 0.02 m and each carrying a charge of 5 $$\mu$$C are combined to form a bigger

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The equivalent resistance between points A and B in the given network is :

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A bar magnet having a magnetic moment of 2.0 $$\times$$ 105 JT$$-$$1, is placed along the direction of uniform magnetic

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Two coils of self inductance L1 and L2 are connected in series combination having mutual inductance of the coils as M. T

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A metallic conductor of length 1 m rotates in a vertical plane parallel to east-west direction about one of its end with

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Which is the correct ascending order of wavelengths?

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For a specific wavelength 670 nm of light coming from a galaxy moving with velocity v, the observed wavelength is 670.7

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A metal surface is illuminated by a radiation of wavelength 4500 $$\mathop A\limits^o $$. The ejected photo-electron ent

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A radioactive nucleus can decay by two different processes. Half-life for the first process is 3.0 hours while it is 4.5

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The positive feedback is required by an amplifier to act an oscillator. The feedback here means :

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A sinusoidal wave y(t) = 40sin(10 $$\times$$ 106 $$\pi$$t) is amplitude modulated by another sinusoidal wave x(t) = 20si

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A ball is projected vertically upward with an initial velocity of 50 ms$$-$$1 at t = 0s. At t = 2s, another ball is proj

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A batsman hits back a ball of mass 0.4 kg straight in the direction of the bowler without changing its initial speed of

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A system to 10 balls each of mass 2 kg are connected via massless and unstretchable string. The system is allowed to sli

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A geyser heats water flowing at a rate of 2.0 kg per minute from 30$$^\circ$$C to 70$$^\circ$$C. If geyser operates on a

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A heat engine operates with the cold reservoir at temperature 324 K. The minimum temperature of the hot reservoir, if th

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A set of 20 tuning forks is arranged in a series of increasing frequencies. If each fork gives 4 beats with respect to t

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Two 10 cm long, straight wires, each carrying a current of 5A are kept parallel to each other. If each wire experienced

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A small bulb is placed at the bottom of a tank containing water to a depth of $$\sqrt7$$ m. The refractive index of wate

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A travelling microscope is used to determine the refractive index of a glass slab. If 40 divisions are there in 1 cm on

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The stopping potential for photoelectrons emitted from a surface illuminated by light of wavelength 6630 $$\mathop A\lim

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