JEE Main 2021 (Online) 25th July Morning Shift

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

## Chemistry

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

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

View Question The water soluble protein is :

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

View Question 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

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

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

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

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

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

View Question Which one among the following resonating structures is not correct?

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

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

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

View Question The number of sigma bonds in is _______________.

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

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

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

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

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

View Question 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

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

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

View Question ## Mathematics

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

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

View Question 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 =

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

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

View Question 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

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

View Question 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

View Question 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

View Question 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

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

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

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

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

View Question 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

View Question Consider the following frequency distribution :
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View Question Let $$\overrightarrow p = 2\widehat i + 3\widehat j + \widehat k$$ and $$\overrightarrow q = \widehat i + 2\widehat j

View Question 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

View Question 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

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

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

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

View Question ## 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

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

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

View Question Identify the logic operation carried out.

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

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

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

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

View Question 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

View Question 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

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

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

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

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

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

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

View Question 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

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

View Question 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,

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

View Question 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

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

View Question 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

View Question 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

View Question 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

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

View Question