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JEE Main 2021 (Online) 26th August Morning Shift

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

Which one of the following complexes is violet in colour?
Which one of the following is correct for the adsorption of a gas at a given tem...
Which one of the following when dissolved in water gives coloured solution in ni...
The major products formed in the following reaction sequence A and B are :<br><b...
The major product formed in the following reaction is :<br><br><picture><source ...
The major product formed in the following reaction is :<br><br><img src="https:/...
The polymer formed on heating Novolac with formaldehyde is :
Given below are two statements :<br><br>Statement I : The limiting molar conduct...
The correct options for the products <b>A</b> and <b>B</b> of the following reac...
The conversion of hydroxyapatite occurs due to presence of F<sup>$$-$$</sup> ion...
Given below are two statements.<br><br>Statement I : In the titration between st...
Among the following compounds I-IV, which one forms a yellow precipitate on reac...
Which one of the following methods is most suitable for preparing deionized wate...
Given below are two statements :<br><br>Statement I : The choice of reducing age...
What are the products formed in sequence when excess of CO<sub>2</sub> is passed...
Given below are two statements.<br><br>Statement I : According to Bohr's model o...
The correct sequential addition of reagents in the preparation of 3-nitrobenzoic...
Given below are two statements.<br><br>Statement I : Frenkel defects are vacancy...
The incorrect statement is :
Excess of isobutane on reaction with Br<sub>2</sub> in presence of light at 125$...
AB<sub>3</sub> is an interhalogen T-shaped molecule. The number of lone pairs of...
These are physical properties of an element<br><br>(A) Sublimation enthalpy<br><...
Of the following four aqueous solutions, total number of those solutions whose f...
The OH<sup>$$-$$</sup> concentration in a mixture of 5.0 mL of 0.0504 M NH<sub>4...
The number of 4f electrons in the ground statement electronic configuration of G...
The ratio of number of water molecules in Mohr's salt and potash alum is _______...
The following data was obtained for chemical reaction given below at 975 K.<br><...
The Born-Haber cycle for KCl is evaluated with the following data :<br><br>$${\D...
The total number of negative charge in the tetrapeptide, Gly-Glu-Asp-Tyr, t pH 1...
An aqueous KCl solution of density 1.20 g mL<sup>$$-$$1</sup> has a molality of ...

Mathematics

The sum of solutions of the equation <br><br>$${{\cos x} \over {1 + \sin x}} = \...
The mean and standard deviation of 20 observations were calculated as 10 and 2.5...
On the ellipse $${{{x^2}} \over 8} + {{{y^2}} \over 4} = 1$$ let P be a point in...
Let y = y(x) be a solution curve of the differential equation $$(y + 1){\tan ^2}...
Let A and B be independent events such that P(A) = p, P(B) = 2p. The largest val...
Let $$\theta \in \left( {0,{\pi \over 2}} \right)$$. If the system of linear e...
Let $$f(x) = \cos \left( {2{{\tan }^{ - 1}}\sin \left( {{{\cot }^{ - 1}}\sqrt {{...
The sum of the series <br><br>$${1 \over {x + 1}} + {2 \over {{x^2} + 1}} + {{{2...
If $${{}^{20}{C_r}}$$ is the co-efficient of x<sup>r</sup> in the expansion of (...
Out of all patients in a hospital 89% are found to be suffering from heart ailme...
The equation $$\arg \left( {{{z - 1} \over {z + 1}}} \right) = {\pi \over 4}$$ ...
Let $$\overrightarrow a = \widehat i + \widehat j + \widehat k$$ and $$\overrig...
If a line along a chord of the circle 4x<sup>2</sup> + 4y<sup>2</sup> + 120x + 6...
The value of $$\int\limits_{{{ - 1} \over {\sqrt 2 }}}^{{1 \over {\sqrt 2 }}} {{...
A plane P contains the line $$x + 2y + 3z + 1 = 0 = x - y - z - 6$$, and is per...
If $$A = \left( {\matrix{ {{1 \over {\sqrt 5 }}} &amp; {{2 \over {\sqrt 5 }}}...
If the sum of an infinite GP a, ar, ar<sup>2</sup>, ar<sup>3</sup>, ....... is 1...
The value of $$\mathop {\lim }\limits_{n \to \infty } {1 \over n}\sum\limits_{r ...
Let ABC be a triangle with A($$-$$3, 1) and $$\angle$$ACB = $$\theta$$, 0 &lt; $...
If the truth value of the Boolean expression $$\left( {\left( {p \vee q} \right)...
Let $$z = {{1 - i\sqrt 3 } \over 2}$$, $$i = \sqrt { - 1} $$. Then the value of ...
The sum of all integral values of k (k $$\ne$$ 0) for which the equation $${2 \o...
Let the line L be the projection of the line $${{x - 1} \over 2} = {{y - 3} \ove...
If $${}^1{P_1} + 2.{}^2{P_2} + 3.{}^3{P_3} + .... + 15.{}^{15}{P_{15}} = {}^q{P_...
A wire of length 36 m is cut into two pieces, one of the pieces is bent to form ...
The area of the region $$S = \{ (x,y):3{x^2} \le 4y \le 6x + 24\} $$ is ________...
The locus of a point, which moves such that the sum of squares of its distances ...
If y = y(x) is an implicit function of x such that log<sub>e</sub>(x + y) = 4xy,...
The number of three-digit even numbers, formed by the digits 0, 1, 3, 4, 6, 7 if...
Let a, b $$\in$$ R, b $$\in$$ 0, Define a function <br><br>$$f(x) = \left\{ {\ma...

Physics

The fractional change in the magnetic field intensity at a distance 'r' from cen...
The magnitude of vectors $$\overrightarrow {OA} $$, $$\overrightarrow {OB} $$ an...
Car B overtakes another car A at a relative speed of 40 ms<sup>$$-$$1</sup>. How...
Inside a uniform spherical shell :<br><br>(1) the gravitational field is zero<br...
Two narrow bores of diameter 5.0 mm and 8.0 mm are joined together to form a U-s...
An electric appliance supplies 6000 J/min heat to the system. If the system deli...
An inductor coil stores 64 J of magnetic field energy and dissipates energy at t...
A series LCR circuit driven by 300 V at a frequency of 50 Hz contains a resistan...
Identify the logic operation carried out by the given circuit :-<br><br><img src...
A particular hydrogen like ion emits radiation of frequency 2.92 $$\times$$ 10<s...
In a photoelectric experiment ultraviolet light of wavelength 280 nm is used wit...
In the given figure, the emf of the cell is 2.2 V and if internal resistance is ...
A solid metal sphere of radius R having charge q is enclosed inside the concentr...
The rms speeds of the molecules of Hydrogen, Oxygen and Carbon dioxide at the sa...
In a Screw Gauge, fifth division of the circular scale coincides with the refere...
What equal length of an iron wire and a copper-nickel alloy wire, each of 2 mm d...
The initial mass of a rocket is 1000 kg. Calculate at what rate the fuel should ...
If E, L, M and G denote the quantities as energy, angular momentum, mass and con...
The material filled between the plates of a parallel plate capacitor has resisti...
Statement I : By doping silicon semiconductor with pentavalent material, the ele...
A uniform chain of length 3 meter and mass 3 kg overhangs a smooth table with 2 ...
The electric field in a plane electromagnetic wave is given by <br>$$\overrighta...
A source and a detector move away from each other in absence of wind with a spee...
Two spherical balls having equal masses with radius of 5 cm each are thrown upwa...
A soap bubble of radius 3 cm is formed inside the another soap bubble of radius ...
An amplitude modulated wave is represented by <br>C<sub>m</sub>(t) = 10(1 + 0.2 ...
Two short magnetic dipoles m<sub>1</sub> and m<sub>2</sub> each having magnetic ...
Two travelling waves produces a standing wave represented by equation,<br><br>y ...
White light is passed through a double slit and interference is observed on a sc...
Consider a badminton racket with length scales as shown in the figure.<br><br><i...

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