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JEE Main 2021 (Online) 25th February Morning Shift

Exam Held on Thu Feb 25 2021 03:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

The solubility of AgCN in a buffer solution of pH = 3 is x. The value of x is : ...
Which one of the following reactions will not form acetaldehyde?
The plots of radial distribution functions for various orbitals of hydrogen atom...
Identify A in the given chemical reaction.<br><br> <img src="https://imagex.cdn....
Which of the following equation depicts the oxidizing nature of H<sub>2</sub>O<s...
Given below are two statements :<br><br>Statement I : CeO<sub>2</sub> can be use...
Given below are two statements :<br><br>Statement I : An allotrope of oxygen is ...
Compound(s) which will liberate carbon dioxide with sodium bicarbonate solution ...
Identify A and B in the chemical reaction.<br><br><img src="https://imagex.cdn.e...
Which of the glycosidic linkage between galactose and glucose is present in lact...
According to molecular orbital theory, the species among the following that does...
Complete combustion of 1.80 g of an oxygen containing compound (C<sub>x</sub>H<s...
The correct statement about B<sub>2</sub>H<sub>6</sub> is :
The hybridization and magnetic nature of $${[Mn{(CN)_6}]^{4 - }}$$ and $${[Fe{(C...
The major product of the following chemical reaction is :<br><br><img src="https...
In Freundlich adsorption isotherm at moderate pressure, the extent of adsorption...
In which of the following pairs, the outer most electronic configuration will be...
Ellingham diagram is a graphical representation of :
Which of the following reaction/s will not give p-aminoazobenzene?<br><br><img s...
Which statement is correct?
Using the provided information in the following paper chromatogram :<br><br><img...
The reaction of cyanamide, NH<sub>2</sub>CN<sub>(s)</sub> with oxygen was run in...
The ionization enthalpy of Na<sup>+</sup> formation from Na<sub>(g)</sub> is 495...
0.4 g mixture of NaOH, Na<sub>2</sub>CO<sub>3</sub> and some inert impurities wa...
In basic medium $$Cr{O_4}^{2 - }$$ oxidises $${S_2}{O_3}^{2 - }$$ to form $$S{O_...
Consider the following chemical reaction.<br><br><img src="https://imagex.cdn.ex...
A car tyre is filled with nitrogen gas at 35 psi at 27$$^\circ$$C. It will burst...
1 molal aqueous solution of an electrolyte A<sub>2</sub>B<sub>3</sub> is 60% ion...
Among the following, the number of halide(s) which is/are inert to hydrolysis is...
For the reaction, aA + bB $$ \to $$ cC + dD, the plot of log k vs $${1 \over T}$...

Mathematics

When a missile is fired from a ship, the probability that it is intercepted is $...
The equation of the line through the point (0, 1, 2) and perpendicular to the li...
All possible values of $$\theta$$ $$\in$$ [0, 2$$\pi$$] for which sin 2$$\theta$...
The value of $$\int\limits_{ - 1}^1 {{x^2}{e^{[{x^3}]}}} dx$$, where [ t ] denot...
If $$0 &lt; \theta ,\phi &lt; {\pi \over 2},x = \sum\limits_{n = 0}^\infty {{...
The statement A $$ \to $$ (B $$ \to $$ A) is equivalent to :
The integer 'k', for which the inequality x<sup>2</sup> $$-$$ 2(3k $$-$$ 1)x + 8...
A tangent is drawn to the parabola y<sup>2</sup> = 6x which is perpendicular to ...
The total number of positive integral solutions (x, y, z) such that xyz = 24 is ...
A man is observing, from the top of a tower, a boat speeding towards the lower f...
If the curves, $${{{x^2}} \over a} + {{{y^2}} \over b} = 1$$ and $${{{x^2}} \ove...
If a curve passes through the origin and the slope of the tangent to it at any p...
Let f, g : N $$ \to $$ N such that f(n + 1) = f(n) + f(1) $$\forall $$ n$$\in$$N...
If Rolle's theorem holds for the function $$f(x) = {x^3} - a{x^2} + bx - 4$$, $$...
Let the lines (2 $$-$$ i)z = (2 + i)$$\overline z $$ and (2 $$+$$ i)z + (i $$-$$...
$$\mathop {\lim }\limits_{n \to \infty } {\left( {1 + {{1 + {1 \over 2} + .........
Let $$\alpha$$ be the angle between the lines whose direction cosines satisfy th...
The value of the integral <br>$$\int {{{\sin \theta .\sin 2\theta ({{\sin }^6}\t...
The coefficients a, b and c of the quadratic equation, ax<sup>2</sup> + bx + c =...
The image of the point (3, 5) in the line x $$-$$ y + 1 = 0, lies on :
The locus of the point of intersection of the lines $$\left( {\sqrt 3 } \right)k...
The graphs of sine and cosine functions, intersect each other at a number of poi...
The total number of numbers, lying between 100 and 1000 that can be formed with ...
If $$A = \left[ {\matrix{ 0 &amp; { - \tan \left( {{\theta \over 2}} \right)...
Let $$A = \left[ {\matrix{ x &amp; y &amp; z \cr y &amp; z &amp; x \cr ...
Let A<sub>1</sub>, A<sub>2</sub>, A<sub>3</sub>, ....... be squares such that fo...
If the system of equations<br><br>kx + y + 2z = 1<br><br>3x $$-$$ y $$-$$ 2z = 2...
The number of points, at which the function <br>f(x) = | 2x + 1 | $$-$$ 3| x + 2...
Let $$\overrightarrow a = \widehat i + 2\widehat j - \widehat k$$, $$\overright...
Let f(x) be a polynomial of degree 6 in x, in which the coefficient of x<sup>6</...

Physics

A proton, a deuteron and an $$\alpha$$ particle are moving with same momentum in...
A solid sphere of radius R gravitationally attracts a particle placed at 3R from...
An $$\alpha$$ particle and a proton are accelerated from rest by a potential dif...
The angular frequency of alternating current in a L-C-R circuit is 100 rad/s. Th...
Magnetic fields at two points on the axis of a circular coil at a distance of 0....
Match List - I with List - II :<br><br><table> <thead> <tr> <th></th> ...
Two radioactive substances X and Y originally have N<sub>1</sub> and N<sub>2</su...
Two satellites A and B of masses 200 kg and 400 kg are revolving round the earth...
Two coherent light sources having intensity in the ratio 2x produce an interfere...
An engine of a train, moving with uniform acceleration, passes the signal-post w...
Given below are two statements : one is labelled as Assertion A and the other is...
Given below are two statements :<br><br>Statement I : A speech signal of 2 kHz i...
The pitch of the screw gauge is 1 mm and there are 100 divisions on the circular...
If the time period of a two meter long simple pendulum is 2s, the acceleration d...
A diatomic gas, having $${C_p} = {7 \over 2}R$$ and $${C_v} = {5 \over 2}R$$, is...
A 5V battery is connected across the points X and Y. Assume D<sub>1</sub> and D<...
A student is performing the experiment of resonance column. The diameter of the ...
In an octagon ABCDEFGH of equal side, what is the sum of <br><br>$$\overrightarr...
The current (i) at time t = 0 and t = $$\infty $$ respectively for the given cir...
Given below are two statements : one is labelled as Assertion A and the other is...
A small bob tied at one end of a thin string of length 1 m is describing a verti...
A monoatomic gas of mass 4.0 u is kept in an insulated container. Container is m...
The same size images are formed by a convex lens when the object is placed at 20...
A coil of inductance 2 H having negligible resistance is connected to a source o...
The potential energy (U) of a diatomic molecule is a function dependent on r (in...
The electric field in a region is given by $$\overrightarrow E = \left( {{3 \ov...
In the given circuit of potentiometer, the potential difference E across AB (10 ...
In a certain thermodynamical process, the pressure of a gas depends on its volum...
512 identical drops of mercury are charged to a potential of 2V each. The drops ...
A transmitting station releases waves of wavelength 960 m. A capacitor of 2.56 $...

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