JEE Main 2021 (Online) 25th July Morning Shift

Paper was held on
Sun, Jul 25, 2021 3:30 AM

## Chemistry

is a repeating unit for :

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Which one of the following species responds to an external magnetic field?

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Consider the above reaction, the major product 'P' is :

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Sodium stearate CH3(CH2)16COO$$-$$Na+ is an anionic surfactant which forms micelles in oil.Choose the correct statement

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The water soluble protein is :

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At 298.2 K the relationship between enthalpy of bond dissociation (in kJ mol$$-$$1) for hydrogen (EH) and its isotope, d

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Consider the given reaction, the product 'X' is :

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The given reaction can occur in the presence of :(a) Bromine water(b) Br2 in CS2, 273 K(c) Br2/FeBr3(d) Br2 in CHCl3, 27

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Given below are two statements, one is labelled as Assertion (A) and other is labelled as Reason (R). Assertion (A) : Ga

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For the following graphs,Choose from the options given below, the correct one regarding order of reaction is :

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Which one of the products of the following reactions does not react with Hinsberg reagent to form sulphonamide?

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The ionic radii of K+, Na+, Al3+ and Mg2+ are in the order:

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Which one of the following compounds of Group-14 elements is not known?

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Which one among the following resonating structures is not correct?

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Given below are two statements :Statement I : None of the alkaline earth metal hydroxides dissolve in alkali.Statement I

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The correct order of following 3d metal oxides, according to their oxidation numbers is :(a) CrO3, (b) Fe2O3, (c) MnO2,

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Which one of the following chemical agent is not being used for dry-cleaning of clothes?

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Which one of the following compounds will liberate CO2, when treated with NaHCO3 ?

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In the leaching of alumina from bauxite, the ore expected to leach out in the process by reacting with NaOH is :

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An organic compound 'A' C4H8 on treatment with KMnO4/H+ yields compound 'B' C3H6O.Compound 'A' also yields compound 'B'

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The number of sigma bonds in is _______________.

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Three moles of AgCl get precipitated when one mole of an octahedral co-ordination compound with empirical formula CrCl3.

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A source of monochromatic radiation of wavelength 400 nm provides 1000 J of energy in 10 seconds. When this radiation fa

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CO2 gas is bubbled through water during a soft drink manufacturing process at 298 K. If CO2 exerts a partial pressure of

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For the reactionA + B $$\rightleftharpoons$$ 2Cthe value of equilibrium constant is 100 at 298 K. If the initial concent

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Consider the cell at 25$$^\circ$$CZn | Zn2+ (aq), (1M) || Fe3+ (aq), Fe2+ (aq) | Pt(s)The fraction of total iron present

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At 298 K, the enthalpy of fusion of a solid (X) is 2.8 kJ mol$$-$$1 and the enthalpy of vaporisation of the liquid (X) i

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A home owner uses 4.00 $$\times$$ 103 m3 of methane (CH4) gas, (assume CH4 is an ideal gas) in a year to heat his home.

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When 10 mL of an aqueous solution of Fe2+ ions was titrated in the presence of dil H2SO4 using diphenylamine indicator,

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Consider the complete combustion of butane, the amount of butane utilized to produce 72.0 g of water is ___________ $$\t

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## Mathematics

A spherical gas balloon of radius 16 meter subtends an angle 60$$^\circ$$ at the eye of the observer A while the angle o

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Let $$f(x) = 3{\sin ^4}x + 10{\sin ^3}x + 6{\sin ^2}x - 3$$, $$x \in \left[ { - {\pi \over 6},{\pi \over 2}} \right]$$

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Let Sn be the sum of the first n terms of an arithmetic progression. If S3n = 3S2n, then the value of $${{{S_{4n}}} \ove

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The locus of the centroid of the triangle formed by any point P on the hyperbola $$16{x^2} - 9{y^2} + 32x + 36y - 164 =

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Let the vectors$$(2 + a + b)\widehat i + (a + 2b + c)\widehat j - (b + c)\widehat k,(1 + b)\widehat i + 2b\widehat j - b

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Let f : R $$\to$$ R be defined as$$f(x) = \left\{ {\matrix{
{{{\lambda \left| {{x^2} - 5x + 6} \right|} \over {\mu (5

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The value of the definite integral $$\int\limits_{\pi /24}^{5\pi /24} {{{dx} \over {1 + \root 3 \of {\tan 2x} }}} $$ is

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If b is very small as compared to the value of a, so that the cube and other higher powers of $${b \over a}$$ can be neg

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Let y = y(x) be the solution of the differential equation $${{dy} \over {dx}} = 1 + x{e^{y - x}}, - \sqrt 2 < x <

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The Boolean expression $$(p \Rightarrow q) \wedge (q \Rightarrow \sim p)$$ is equivalent to :

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The area (in sq. units) of the region, given by the set $$\{ (x,y) \in R \times R|x \ge 0,2{x^2} \le y \le 4 - 2x\} $$ i

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The sum of all values of x in [0, 2$$\pi$$], for which sin x + sin 2x + sin 3x + sin 4x = 0, is equal to :

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Let g : N $$\to$$ N be defined asg(3n + 1) = 3n + 2,g(3n + 2) = 3n + 3,g(3n + 3) = 3n + 1, for all n $$\ge$$ 0. Then whi

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Let $$f:[0,\infty ) \to [0,\infty )$$ be defined as $$f(x) = \int_0^x {[y]dy} $$where [x] is the greatest integer less t

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The values of a and b, for which the system of equations 2x + 3y + 6z = 8x + 2y + az = 53x + 5y + 9z = bhas no solution,

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Let 9 distinct balls be distributed among 4 boxes, B1, B2, B3 and B4. If the probability than B3 contains exactly 3 ball

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Let a parabola b be such that its vertex and focus lie on the positive x-axis at a distance 2 and 4 units from the origi

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The number of real roots of the equation $${e^{6x}} - {e^{4x}} - 2{e^{3x}} - 12{e^{2x}} + {e^x} + 1 = 0$$ is :

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Let an ellipse $$E:{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$, $${a^2} > {b^2}$$, passes through $$\left

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Let the foot of perpendicular from a point P(1, 2, $$-$$1) to the straight line $$L:{x \over 1} = {y \over 0} = {z \over

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Let y = y(x) be solution of the following differential equation $${e^y}{{dy} \over {dx}} - 2{e^y}\sin x + \sin x{\cos ^2

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If the value of $${\left( {1 + {2 \over 3} + {6 \over {{3^2}}} + {{10} \over {{3^3}}} + ....upto\,\infty } \right)^{{{\l

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Consider the following frequency distribution :
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:bl

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Let $$\overrightarrow p = 2\widehat i + 3\widehat j + \widehat k$$ and $$\overrightarrow q = \widehat i + 2\widehat j

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The ratio of the coefficient of the middle term in the expansion of (1 + x)20 and the sum of the coefficients of two mid

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Let $$M = \left\{ {A = \left( {\matrix{
a & b \cr
c & d \cr
} } \right):a,b,c,d \in \{ \pm 3, \pm 2

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There are 5 students in class 10, 6 students in class 11 and 8 students in class 12. If the number of ways, in which 10

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If $$\alpha$$, $$\beta$$ are roots of the equation $${x^2} + 5(\sqrt 2 )x + 10 = 0$$, $$\alpha$$ > $$\beta$$ and $${P

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The term independent of 'x' in the expansion of $${\left( {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over

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Let $$S = \left\{ {n \in N\left| {{{\left( {\matrix{
0 & i \cr
1 & 0 \cr
} } \right)}^n}\left( {\mat

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## Physics

For a gas CP $$-$$ CV = R in a state P and CP $$-$$ CV = 1.10 R in a state Q, TP and TQ are the temperatures in two diff

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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 : Mom

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What should be the order of arrangement of de-Broglie wavelength of electron ($$\lambda$$e), an $$\alpha$$-particle ($$\

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Identify the logic operation carried out.

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A particle of mass 4M at rest disintegrates into two particles of mass M and 3M respectively having non zero velocities.

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Some nuclei of a radioactive material are undergoing radioactive decay. The time gap between the instances when a quarte

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Match List - I with List - IIChoose the correct answer from the options given below :

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A parallel plate capacitor with plate area 'A' and distance of separation 'd' is filled with a dielectric. What is the c

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A monoatomic ideal gas, initially at temperature T1 is enclosed in a cylinder fitted with a frictionless piston. The gas

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A ray of laser of a wavelength 630 nm is incident at an angle of 30$$^\circ$$ at the diamond-air interface. It is going

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Two wires of same length and radius are joined end to end and loaded. The Young's modulii of the materials of the two wi

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The half-life of $${}^{198}Au$$ is 3 days. If atomic weight of $${}^{198}Au$$ is 198 g/mol then the activity of 2 mg of

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Two billiard balls of equal mass 30g strike a rigid wall with same speed of 108 kmph (as shown) but at different angles.

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In the Young's double slit experiment, the distance between the slits varies in time as d(t) = d0 + a0 sin$$\omega$$t; w

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Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of

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A linearly polarized electromagnetic wave in vacuum is $$E = 3.1\cos \left[ {(1.8)z - (5.4 \times {{10}^6})t} \right]\wi

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In the given figure, there is a circuit of potentiometer of length AB = 10 m. The resistance per unit length is 0.1 $$\O

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In amplitude modulation, the message signalVm(t) = 10 sin (2$$\pi$$ $$\times$$ 105t) volts and Carrier signalVC(t) = 20

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Water droplets are coming from an open tap at a particular rate. The spacing between a droplet observed at 4th second af

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The minimum and maximum distances of a planet revolving around the sun are x1 and x2. If the minimum speed of the planet

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A body of mass 2 kg moving with a speed of 4 m/s. makes an elastic collision with another body at rest and continues to

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Student A and student B used two screw gauges of equal pitch and 100 equal circular divisions to measure the radius of a

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An inductor of 10 mH is connected to a 20V battery through a resistor of 10 k$$\Omega$$ and a switch. After a long time,

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A circular conducting coil of radius 1 m is being heated by the change of magnetic field $$\overrightarrow B $$ passing

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In the reported figure, two bodies A and B of masses 200 g and 800 g are attached with the system of springs. Springs ar

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The value of aluminium susceptibility is 2.2 $$\times$$ 10$$-$$5. The percentage increase in the magnetic field if space

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A particle of mass 1 mg and charge q is lying at the mid-point of two stationary particles kept at a distance '2 m' when

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An electric bulb rated as 200 W at 100 V is used in a circuit having 200 V supply. The resistance 'R' that must be put i

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A pendulum bob has a speed of 3 m/s at its lowest position. The pendulum is 50 cm long. The speed of bob, when the lengt

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A particle of mass 'm' is moving in time 't' on a trajectory given by$$\overrightarrow r = 10\alpha {t^2}\widehat i + 5

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