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JEE Main 2021 (Online) 26th February Morning Shift

Exam Held on Fri Feb 26 2021 03:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

For the given reaction<br><br><img src="https://imagex.cdn.examgoal.net/1kluvpr2...
Which of the following is 'a' FALSE statement ?
Find A, B and C in the following reactions :<br><br>$$N{H_3} + A + C{O_2} \to {(...
Match List - I with List - II.<br><br><table> <thead> <tr> <th></th> <...
Statements about heavy water are given below :<br><br>A. Heavy water is used in ...
Given below are two statements :<br><br>Statement I : A mixture of chloroform an...
The presence of ozone in troposphere:
Given below are two statements : one is labelled as Assertion A and the other is...
Which one of the following lanthanoids does not form MO<sub>2</sub>? [M is lanth...
Match List - I with List - II.<br><br><table> <thead> <tr> <th></th> <...
On treating a compound with warm dil. H<sub>2</sub>SO<sub>4</sub>, gas X is evol...
For the given reaction :<br><br><img src="https://imagex.cdn.examgoal.net/1kluvy...
Compound A used as a strong oxidizing agent is amphoteric in nature. It is the p...
Identify the major products A and B respectively in the following reactions of p...
The structure of Neoprene is :
An amine on reaction with benzensulphonyl chloride produces a compound insoluble...
Given below are two statements : <br><br>Statement I : o-Nitrophenol is steam vo...
<img src="https://imagex.cdn.examgoal.net/1kluvndpd/6ce0ec5d-4ddb-4fef-bcf0-968c...
Which of the following vitamin is helpful in delaying the blood clotting?
The orbital having two radial as well as two angular nodes is :
For a chemical reaction A + B ⇌ C + D<br><br>($${\Delta _r}{H^\Theta }$$ = 80 kJ...
An exothermic reaction X $$ \to $$ Y has an activation energy 30 kJ mol<sup>$$-$...
3.12 g of oxygen is adsorbed on 1.2 g of platinum metal. The volume of oxygen ad...
The number of significant figures in 50000.020 $$\times$$ 10<sup>$$-$$3</sup> is...
Dichromate ion is treated with base, the oxidation number of Cr in the product f...
Number of bridging CO ligands in [Mn<sub>2</sub>(CO)<sub>10</sub>] is __________...
Consider the following reaction<br><br>$$MnO_4^ - + 8{H^ + } + 5{e^ - } \to M{n...
224 mL of SO<sub>2(g)</sub> at 298 K and 1 atm is passed through 100 mL of 0.1 M...
A homogeneous ideal gaseous reaction $$A{B_{2(g)}} \rightleftharpoons {A_{(g)}} ...
A certain gas obeys P(V<sub>m</sub> $$-$$ b) = RT. The value of $${\left( {{{\pa...

Mathematics

The maximum value of the term independent of 't' in the expansion <br>of $${\lef...
The value of $$\mathop {\lim }\limits_{h \to 0} 2\left\{ {{{\sqrt 3 \sin \left( ...
Let A be a symmetric matrix of order 2 with integer entries. If the sum of the d...
The sum of the infinite series <br>$$1 + {2 \over 3} + {7 \over {{3^2}}} + {{12}...
The value of $$\int\limits_{ - \pi /2}^{\pi /2} {{{{{\cos }^2}x} \over {1 + {3^x...
The number of seven digit integers with sum of the digits equal to 10 and formed...
Let R = {(P, Q) | P and Q are at the same distance from the origin} be a relatio...
The value of $$\sum\limits_{n = 1}^{100} {\int\limits_{n = 1}^n {{e^{x - [x]}}dx...
The intersection of three lines x $$-$$ y = 0, x + 2y = 3 and 2x + y = 6 is a :
If $$\overrightarrow a $$ and $$\overrightarrow b $$ are perpendicular, then <br...
A fair coin is tossed a fixed number of times. If the probability of getting 7 h...
In the circle given below, let OA = 1 unit, OB = 13 unit and PQ $$ \bot $$ OB. T...
The value of $$\left| {\matrix{ {(a + 1)(a + 2)} &amp; {a + 2} &amp; 1 \cr ...
If $${{{{\sin }^1}x} \over a} = {{{{\cos }^{ - 1}}x} \over b} = {{{{\tan }^{ - 1...
The maximum slope of the curve $$y = {1 \over 2}{x^4} - 5{x^3} + 18{x^2} - 19x$$...
The rate of growth of bacteria in a culture is proportional to the number of bac...
Consider the three planes<br><br>P<sub>1</sub> : 3x + 15y + 21z = 9,<br><br>P<su...
If (1, 5, 35), (7, 5, 5), (1, $$\lambda$$, 7), (2$$\lambda$$, 1, 2) are coplanar...
In an increasing geometric series, the sum of the second and the sixth term is $...
Let ($$\lambda$$, 2, 1) be a point on the plane which passes through the point (...
If $$\sqrt 3 ({\cos ^2}x) = (\sqrt 3 - 1)\cos x + 1$$, the number of solutions ...
The value of the integral $$\int\limits_0^\pi {|{{\sin }^2}2x|dx} $$ is _______...
The number of solutions of the equation log<sub>4</sub>(x $$-$$ 1) = log<sub>2</...
The sum of 162<sup>th</sup> power of the roots of the equation x<sup>3</sup> $$-...
The area bounded by the lines y = || x $$-$$ 1 | $$-$$ 2 | is ___________.
Let m, n$$\in$$N and gcd (2, n) = 1. If $$30\left( {\matrix{ {30} \cr 0 ...
The difference between degree and order of a differential equation that represen...
If y = y(x) is the solution of the equation <br>$${e^{\sin y}}\cos y{{dy} \over ...
The number of integral values of 'k' for which the equation $$3\sin x + 4\cos x ...
Let f be any function defined on R and let it satisfy the condition : $$|f(x) - ...

Physics

Consider the combination of 2 capacitors C<sub>1</sub> and C<sub>2</sub> with C<...
An alternating current is given by the equation i = i<sub>1</sub> sin $$\omega$$...
Four identical solid spheres each of mass 'm' and radius 'a' are placed with the...
A large number of water drops, each of radius r, combine to have a drop of radiu...
LED is constructed from Ga-As-P semiconducting material. The energy gap of this ...
A short straight object of height 100 cm lies before the central axis of a spher...
In a Young's double slit experiment two slits are separated by 2 mm and the scre...
Assume that a tunnel is dug along a chord of the earth, at a perpendicular dista...
In a typical combustion engine the workdone by a gas molecule is given by $$W = ...
If two similar springs each of spring constant K<sub>1</sub> are joined in serie...
A particle is moving with uniform speed along the circumference of a circle of r...
The temperature $$\theta$$ at the junction of two insulating sheets, having ther...
Find the electric field at point P (as shown in figure) on the perpendicular bis...
A planet revolving in elliptical orbit has :<br><br>A. a constant velocity of re...
Given below are two statements : one is labeled as Assertion A and the other is ...
Given below are two statements : one is labelled as Assertion A and the other is...
The normal density of a material is $$\rho$$ and its bulk modulus of elasticity ...
If $$\lambda$$<sub>1</sub> and $$\lambda$$<sub>2</sub> are the wavelengths of th...
Find the gravitational force of attraction between the ring and sphere as shown ...
Five equal resistances are connected in a network as shown in figure. The net re...
A person standing on a spring balance inside a stationary lift measures 60 kg. T...
The circuit contains two diodes each with a forward resistance of 50$$\Omega$$ a...
In a series LCR resonant circuit, the quality factor is measured as 100. If the ...
The mass per unit length of a uniform wire is 0.135 g/cm. A transverse wave of t...
The maximum and minimum amplitude of an amplitude modulated wave is 16V and 8V r...
In an electrical circuit, a battery is connected to pass 20C of charge through i...
A boy pushes a box of mass 2 kg with a force $$\overrightarrow F = \left( {20\w...
A radiation is emitted by 1000W bulb and it generates an electric field and magn...
A container is divided into two chambers by a partition. The volume of first cha...
As shown in the figure, a block of mass $$\sqrt 3 $$ kg is kept on a horizontal ...

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