JEE Main 2021 (Online) 25th July Evening Shift

Paper was held on
Sun, Jul 25, 2021 9:30 AM

## Chemistry

In the following the correct bond order sequence is :

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A biodegradable polyamide can be made from :

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Match List I with List II :
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Which one of the following metal complexes is most stable?

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Match List I with List II : (Both having metallurgical terms)
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The ionic radii of F$$-$$ and O2$$-$$ respectively are 1.33$$\mathop A\limits^o $$ and 1.4$$\mathop A\limits^o $$, while

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The correct decreasing order of densities of the following compounds is :

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Consider the above reaction, the product "P" is :

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A reaction of benzonitrile with one equivalent CH3MgBr followed by hydrolysis produces a yellow liquid "P". The compound

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The spin only magnetic moments (in BM) for free Ti3+, V2+ and Sc3+ ions respectively are :(At.No. Sc : 21, Ti : 22, V :

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Which one of the following is correct structure for cytosine?

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Identify the species having one $$\pi$$-bond and maximum number of canonical forms from the following :

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Which one of the following metals forms interstitial hydride easily?

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Maleic anhydride can prepared by :

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Given below are two statements :Statement I : Chlorofluoro breakdown by radiation in the visible energy region and relea

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[where $$Et \Rightarrow - {C_2}{H_5}{}^tBu \Rightarrow {(C{H_3})_3}C - $$]Consider the above reaction sequence, Product

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Match List I with List II :
List-IExample of colloids
List - IIClassification
(a) Cheese
(i)

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What is the major product "P" of the following reaction?

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Identify the process in which change in the oxidation state is five :

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Which among the following is the strongest acid ?

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A system does 200 J of work and at the same time absorbs 150 J of heat. The magnitude of the change in internal energy i

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An accelerated electron has a speed of 5 $$\times$$ 106 ms$$-$$1 with an uncertainty of 0.02%. The uncertainty in findin

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Number of electrons present in 4f orbital of Ho3+ ion is ____________. (Given Atomic No. of Ho = 67)

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Consider the above chemical reaction. The total number of stereoisomers possible for Product 'P' is _____________.

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For a chemical reaction A $$\to$$ B, it was found that concentration of B is increased by 0.2 mol L$$-$$ in 30 min. The

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The number of significant figures in 0.00340 is ____________.

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Assuming that Ba(OH)2 is completely ionised in aqueous solution under the given conditions the concentration of H3O+ ion

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0.8 g of an organic compound was analyzed by Kjeldahl's method for the estimation of nitrogen. If the percentage of nitr

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When 3.00 g of a substance 'X' is dissolved in 100 g of CCl4, it raises the boiling point by 0.60 K. The molar mass of t

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An LPG cylinder contains gas at a pressure of 300 kPa at 27$$^\circ$$. The cylinder can withstand the pressure of 1.2 $$

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## Mathematics

The sum of all those terms which are rational numbers in the expansion of (21/3 + 31/4)12 is :

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The first of the two samples in a group has 100 items with mean 15 and standard deviation 3. If the whole group has 250

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If $$f(x) = \left\{ {\matrix{
{\int\limits_0^x {\left( {5 + \left| {1 - t} \right|} \right)dt,} } & {x > 2} \

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If the greatest value of the term independent of 'x' in the expansion of $${\left( {x\sin \alpha + a{{\cos \alpha } \ov

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Consider the statement "The match will be played only if the weather is good and ground is not wet". Select the correct

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The value of $$\cot {\pi \over {24}}$$ is :

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The lowest integer which is greater than $${\left( {1 + {1 \over {{{10}^{100}}}}} \right)^{{{10}^{100}}}}$$ is _________

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The value of the integral $$\int\limits_{ - 1}^1 {\log \left( {x + \sqrt {{x^2} + 1} } \right)dx} $$ is :

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Let a, b and c be distinct positive numbers. If the vectors $$a\widehat i + a\widehat j + c\widehat k,\widehat i+\wideha

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If [x] be the greatest integer less than or equal to x, then $$\sum\limits_{n = 8}^{100} {\left[ {{{{{( - 1)}^n}n} \over

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The number of distinct real roots of $$\left| {\matrix{
{\sin x} & {\cos x} & {\cos x} \cr
{\cos x} &

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If $$\left| {\overrightarrow a } \right| = 2,\left| {\overrightarrow b } \right| = 5$$ and $$\left| {\overrightarrow a

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The number of real solutions of the equation, x2 $$-$$ |x| $$-$$ 12 = 0 is :

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Consider function f : A $$\to$$ B and g : B $$\to$$ C (A, B, C $$ \subseteq $$ R) such that (gof)$$-$$1 exists, then :

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If $$P = \left[ {\matrix{
1 & 0 \cr
{{1 \over 2}} & 1 \cr
} } \right]$$, then P50 is :

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Let X be a random variable such that the probability function of a distribution is given by $$P(X = 0) = {1 \over 2},P(X

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If a tangent to the ellipse x2 + 4y2 = 4 meets the tangents at the extremities of it major axis at B and C, then the cir

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Let the equation of the pair of lines, y = px and y = qx, can be written as (y $$-$$ px) (y $$-$$ qx) = 0. Then the equa

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If $${}^n{P_r} = {}^n{P_{r + 1}}$$ and $${}^n{C_r} = {}^n{C_{r - 1}}$$, then the value of r is equal to :

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Let y = y(x) be the solution of the differential equation xdy = (y + x3 cosx)dx with y($$\pi$$) = 0, then $$y\left( {{\p

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Let n$$\in$$N and [x] denote the greatest integer less than or equal to x. If the sum of (n + 1) terms $${}^n{C_0},3.{}^

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Consider the functionwhere P(x) is a polynomial such that P'' (x) is always a constant and P(3) = 9. If f(x) is continuo

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The equation of a circle is Re(z2) + 2(Im(z))2 + 2Re(z) = 0, where z = x + iy. A line which passes through the center of

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If a rectangle is inscribed in an equilateral triangle of side length $$2\sqrt 2 $$ as shown in the figure, then the squ

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If $$\left( {\overrightarrow a + 3\overrightarrow b } \right)$$ is perpendicular to $$\left( {7\overrightarrow a - 5\o

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Let a curve y = f(x) pass through the point (2, (loge2)2) and have slope $${{2y} \over {x{{\log }_e}x}}$$ for all positi

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If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a4 + b4 + c4 is equal to ______________.

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A fair coin is tossed n-times such that the probability of getting at least one head is at least 0.9. Then the minimum v

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If the co-efficient of x7 and x8 in the expansion of $${\left( {2 + {x \over 3}} \right)^n}$$ are equal, then the value

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If the lines $${{x - k} \over 1} = {{y - 2} \over 2} = {{z - 3} \over 3}$$ and $${{x + 1} \over 3} = {{y + 2} \over 2} =

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## Physics

The relation between time t and distance x for a moving body is given as t = mx2 + nx, where m and n are constants. The

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In a simple harmonic oscillation, what fraction of total mechanical energy is in the form of kinetic energy, when the pa

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A force $$\overrightarrow F = (40\widehat i + 10\widehat j)N$$ acts on a body of mass 5 kg. If the body starts from res

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A prism of refractive index $$\mu$$ and angle of prism A is placed in the position of minimum angle of deviation. If min

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A heat engine has an efficiency of $${1 \over 6}$$. When the temperature of sink is reduced by 62$$^\circ$$C, its effici

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In the given potentiometer circuit arrangement, the balancing length AC is measured to be 250 cm. When the galvanometer

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Two ions having same mass have charges in the ratio 1 : 2. They are projected normally in a uniform magnetic field with

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A 10 $$\Omega$$ resistance is connected across 220V $$-$$ 50 Hz AC supply. The time taken by the current to change from

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A balloon was moving upwards with a uniform velocity of 10 m/s. An object of finite mass is dropped from the balloon whe

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If qf is the free charge on the capacitor plates and qb is the bound charge on the dielectric slab of dielectric constan

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Consider a planet in some solar system which has a mass double the mass of earth and density equal to the average densit

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Two ideal electric dipoles A and B, having their dipole moment p1 and p2 respectively are placed on a plane with their c

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Two spherical soap bubbles of radii r1 and r2 in vacuum combine under isothermal conditions. The resulting bubble has a

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The force is given in terms of time t and displacement x by the equation F = A cos Bx + C sin DtThe dimensional formula

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The given potentiometer has its wire of resistance 10$$\Omega$$. When the sliding contact is in the middle of the potent

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An electron moving with speed v and a photon moving with speed c, have same D-Broglie wavelength. The ratio of kinetic e

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The instantaneous velocity of a particle moving in a straight line is given as $$V = \alpha t + \beta {t^2}$$, where $$\

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A ray of light entering from air into a denser medium of refractive index $${4 \over 3}$$, as shown in figure. The light

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When radiation of wavelength $$\lambda$$ is incident on a metallic surface, the stopping potential of ejected photoelect

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Two vectors $$\overrightarrow X $$ and $$\overrightarrow Y $$ have equal magnitude. The magnitude of ($$\overrightarrow

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A system consists of two types of gas molecules A and B having same number density 2 $$\times$$ 1025/m3. The diameter of

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A light beam of wavelength 500 nm is incident on a metal having work function of 1.25 eV, placed in a magnetic field of

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A message signal of frequency 20 kHz and peak voltage of 20 volt is used to modulate a carrier wave of frequency 1 MHz

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A 16 $$\Omega$$ wire is bend to form a square loop. A 9V supply having internal resistance of 1$$\Omega$$ is connected a

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Two circuits are shown in the figure (a) & (b). At a frequency of ____________ rad/s the average power dissipated in

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From the given data, the amount of energy required to break the nucleus of aluminium $$_{13}^{27}$$Al is __________ x $$

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A force of F = (5y + 20)$$\widehat j$$ N acts on a particle. The work done by this force when the particle is moved from

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A solid disc of radius 20 cm and mass 10 kg is rotating with an angular velocity of 600 rpm, about an axis normal to its

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In a semiconductor, the number density of intrinsic charge carries at 27$$^\circ$$C is 1.5 $$\times$$ 1016/m3. If the se

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The nuclear activity of a radioactive element becomes $${\left( {{1 \over 8}} \right)^{th}}$$ of its initial value in 30

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