JEE Main 2021 (Online) 17th March Morning Shift

Paper was held on
Wed, Mar 17, 2021 3:30 AM

## Chemistry

The absolute value of the electron gain enthalpy of halogens satisfies :

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What is the spin-only magnetic moment value (BM) of a divalent metal ion with atomic number 25, in it's aqueous solution

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With respect to drug-enzyme interaction, identify the wrong statement.

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Hoffmann bromomide degradation of benzamide gives product A, which upon heating with CHCl3 and NaOH gives product B.The

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The above reaction requires which of the following reaction conditions?

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A colloidal system consisting of a gas dispersed in a solid is called a/an :

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The product ''A'' in the above reaction is :

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Product ''A'' in the above chemical reaction is :

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Reducing smog is a mixture of :

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The correct order of conductivity of ions in water is :

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Which of the following compound CANNOT act as a Lewis base?

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Given below are two statements :Statement I : Potassium permanganate on heating at 573K forms potassium manganate.Statem

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Mesityl oxide is a common name of :

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The point of intersection and sudden increase in the slope, in the diagram given below, respectively, indicates :

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Which of the following is an aromatic compound?

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A central atom in a molecule has two lone pairs of electrons and forms three single bonds. The shape of this molecule is

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Given below are two statements :Statement I : Retardation factor (Rf) can be measured in meter/centimeter.Statement II :

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Which of the following is correct structure of tyrosine?

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Which of the following reaction is an example of ammonolysis?

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The INCORRECT statement(s) about heavy water is (are)(A) used as a moderator in nuclear reactor(B) obtained as a by-prod

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A certain orbital has n = 4 and mL = $$-$$3. The number of radial nodes in this orbital is ____________. (Round off to t

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15 mL of aqueous solution of Fe2+ in acidic medium completely reacted with 20 mL of 0.03 M aqueous Cr2O$$_7^{2 - }$$. Th

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The reaction of white phosphorus on boiling with alkali in inert atmosphere resulted in the formation of product 'A'. Th

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In the above reaction, 3.9 g of benzene on nitration gives 4.92 g of nitrobenzene. The percentage yield of nitrobenzene

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The pressure exerted by a non-reactive gaseous mixture of 6.4g of methane and 8.8 g of carbon dioxide in a 10L vessel at

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For a certain first order reaction 32% of the reactant is left after 570s. The rate constant of this reaction is _______

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0.01 moles of a weak acid HA (Ka = 2.0 $$\times$$ 10$$-$$6) is dissolved in 1.0 L of 0.1 M HCl solution. The degree of d

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The mole fraction of a solute in a 100 molal aqueous solution is ___________ $$\times$$ 10$$-$$2. (Round off to the Near

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The standard enthalpies of formation of Al2O3 and CaO are $$-$$1675 kJ mol-1 and $$-$$635 kJ mol$$-$$1 respectively.For

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The oxygen dissolved in water exerts a partial pressure of 20 kPa in the vapour above water. The molar solubility of oxy

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## Mathematics

In a triangle PQR, the co-ordinates of the points P and Q are ($$-$$2, 4) and (4, $$-$$2) respectively. If the equation

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The value of $$\mathop {\lim }\limits_{x \to {0^ + }} {{{{\cos }^{ - 1}}(x - {{[x]}^2}).{{\sin }^{ - 1}}(x - {{[x]}^2})}

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Which of the following statements is correct for the function g($$\alpha$$) for $$\alpha$$ $$\in$$ R such that $$g(\alph

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Let $$\overrightarrow a $$ = 2$$\widehat i$$ $$-$$ 3$$\widehat j$$ + 4$$\widehat k$$ and $$\overrightarrow b $$ = 7$$\wi

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Which of the following is true for y(x) that satisfies the differential equation $${{dy} \over {dx}}$$ = xy $$-$$ 1 + x

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The sum of possible values of x for tan$$-$$1(x + 1) + cot$$-$$1$$\left( {{1 \over {x - 1}}} \right)$$ = tan$$-$$1$$\lef

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The line 2x $$-$$ y + 1 = 0 is a tangent to the circle at the point (2, 5) and the centre of the circle lies on x $$-$$

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If the Boolean expression (p $$ \Rightarrow $$ q) $$ \Leftrightarrow $$ (q * ($$ \sim $$p) is a tautology, then the bool

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The equation of the plane which contains the y-axis and passes through the point (1, 2, 3) is :

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The value of $$4 + {1 \over {5 + {1 \over {4 + {1 \over {5 + {1 \over {4 + ......\infty }}}}}}}}$$ is :

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The inverse of $$y = {5^{\log x}}$$ is :

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Two dies are rolled. If both dices have six faces numbered 1, 2, 3, 5, 7 and 11, then the probability that the sum of th

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If the fourth term in the expansion of $${(x + {x^{{{\log }_2}x}})^7}$$ is 4480, then the value of x where x$$\in$$N is

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The system of equations kx + y + z = 1, x + ky + z = k and x + y + zk = k2 has no solution if k is equal to :

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Choose the incorrect statement about the two circles whose equations are given below :x2 + y2 $$-$$ 10x $$-$$ 10y + 41 =

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In a school, there are three types of games to be played. Some of the students play two types of games, but none play al

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If cot$$-$$1($$\alpha$$) = cot$$-$$1 2 + cot$$-$$1 8 + cot$$-$$1 18 + cot$$-$$1 32 + ...... upto 100 terms, then $$\alph

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If $$A = \left( {\matrix{
0 & {\sin \alpha } \cr
{\sin \alpha } & 0 \cr
} } \right)$$ and $$\det \le

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Team 'A' consists of 7 boys and n girls and Team 'B' has 4 boys and 6 girls. If a total of 52 single matches can be arra

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The area of the triangle with vertices A(z), B(iz) and C(z + iz) is :

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If (2021)3762 is divided by 17, then the remainder is __________.

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Let there be three independent events E1, E2 and E3. The probability that only E1 occurs is $$\alpha$$, only E2 occurs i

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The maximum value of z in the following equation z = 6xy + y2, where 3x + 4y $$ \le $$ 100 and 4x + 3y $$ \le $$ 75 for

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If the equation of the plane passing through the line of intersection of the planes 2x $$-$$ 7y + 4z $$-$$ 3 = 0, 3x $$-

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If $$A = \left[ {\matrix{
2 & 3 \cr
0 & { - 1} \cr
} } \right]$$, then the value of det(A4) + det(A1

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If [ . ] represents the greatest integer function, then the value of $$\left| {\int\limits_0^{\sqrt {{\pi \over 2}} } {

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If $$f(x) = \sin \left( {{{\cos }^{ - 1}}\left( {{{1 - {2^{2x}}} \over {1 + {2^{2x}}}}} \right)} \right)$$ and its first

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If $$\overrightarrow a = \alpha \widehat i + \beta \widehat j + 3\widehat k$$,$$\overrightarrow b = - \beta \widehat

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If the function $$f(x) = {{\cos (\sin x) - \cos x} \over {{x^4}}}$$ is continuous at each point in its domain and $$f(0)

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The minimum distance between any two points P1 and P2 while considering point P1 on one circle and point P2 on the other

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## Physics

A boy is rolling a 0.5 kg ball on the frictionless floor with the speed of 20 ms-1. The ball gets deflected by an obstac

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A polyatomic ideal gas has 24 vibrational modes. What is the value of $$\gamma$$?

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Two ideal polyatomic gases at temperatures T1 and T2 are mixed so that there is no loss of energy. If F1 and F2, m1 and

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If an electron is moving in the nth orbit of the hydrogen atom, then its velocity (vn) for the nth orbit is given as :

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Two identical metal wires of thermal conductivities K1 and K2 respectively are connected in series. The effective therma

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A triangular plate is shown. A force $$\overrightarrow F $$ = 4$$\widehat i$$ $$-$$ 3$$\widehat j$$ is applied at point

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When two soap bubbles of radii a and b (b > a) coalesce, the radius of curvature of common surface is :

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A car accelerates from rest at a constant rate $$\alpha$$ for some time after which it decelerates at a constant rate $$

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A mass M hangs on a massless rod of length l which rotates at a constant angular frequency. The mass M moves with steady

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A solenoid of 1000 turns per metre has a core with relative permeability 500. Insulated windings of the solenoid carry a

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The thickness at the centre of a plane convex lens is 3 mm and the diameter is 6 cm. If the speed of light in the materi

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A Carnot's engine working between 400 K and 800 K has a work output of 1200 J per cycle. The amount of heat energy suppl

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For what value of displacement the kinetic energy and potential energy of a simple harmonic oscillation become equal ?

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An AC current is given by I = I1 sin$$\omega$$t + I2 cos$$\omega$$t. A hot wire ammeter will give a reading :

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A modern grand - prix racing car of mass m is travelling on a flat track in a circular arc of radius R with a speed v. I

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The vernier scale used for measurement has a positive zero error of 0.2 mm. If while taking a measurement it was noted t

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A current of 10A exists in a wire of cross-sectional area of 5 mm2 with a drift velocity of 2 $$\times$$ 10$$-$$3 ms$$-$

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The output of the given combination gates represents :

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Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?

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An electron of mass m and a photon have same energy E. The ratio of wavelength of electron to that of photon is : (c bei

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For VHF signal broadcasting, ___________ km2 of maximum service area will be covered by an antenna tower of height 30 m,

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The radius in kilometer to which the present radius of earth (R = 6400 km) to be compressed so that the escape velocity

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The angular speed of truck wheel is increased from 900 rpm to 2460 rpm in 26 seconds. The number of revolutions by the t

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A parallel plate capacitor whose capacitance C is 14 pF is charged by a battery to a potential difference V = 12 V betwe

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The following bodies,(1) a ring(2) a disc(3) a solid cylinder(4) a solid sphere,of same mass 'm' and radius 'R' are allo

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Four identical rectangular plates with length, l = 2 cm and breadth, b = $${3 \over 2}$$ cm are arranged as shown in fig

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Consider two identical springs each of spring constant k and negligible mass compared to the mass M as shown. Fig. 1 sho

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The equivalent resistance of series combination of two resistors is 's'. When they are connected in parallel, the equiva

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Two blocks (m = 0.5 kg and M = 4.5 kg) are arranged on a horizontal frictionless table as shown in figure. The coefficie

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If 2.5 $$\times$$ 10$$-$$6 N average force is exerted by a light wave on a non-reflecting surface of 30 cm2 area during

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