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

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

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

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

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

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

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

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

View Question 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

View Question The correct order of nucleophilicity is

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

View Question The major product in the following reaction

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

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

View Question The final product 'A' in the following reaction sequence

View Question Which statement is NOT correct for p-toluenesulphonyl chloride?

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

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

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

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

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

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

View Question 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

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

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

View Question 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 $$\

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

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

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

View Question ## 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}

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

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

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

View Question 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

View Question 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

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

View Question 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

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

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

View Question 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}

View Question 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} =

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

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

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

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

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

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

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

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

View Question 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.\,{{

View Question 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

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

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

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

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

View Question 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 ________

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

View Question 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

View Question 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

View Question ## Physics

The dimension of mutual inductance is :

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

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

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

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

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

View Question 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

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

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

View Question 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

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

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

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

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

View Question Which is the correct ascending order of wavelengths?

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

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

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

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

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

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

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

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

View Question 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

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

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

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

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

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

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

View Question