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JEE Main 2021 (Online) 18th March Morning Shift

Exam Held on Thu Mar 18 2021 03:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

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The ionic radius of Na<sup>+</sup> ions is 1.02 $$\mathop A\limits^o $$. The ion...
Reaction of Grignard reagent, C<sub>2</sub>H<sub>5</sub>MgBr with C<sub>8</sub>H...
Reagent, 1-napthylamine and sulphanilic acid in acetic acid is used for the dete...
A non-reducing sugar "A" hydrolyses to give two reducing mono saccharides. Sugar...
Match the list - I with list - II<br><br><table> <thead> <tr> <th></th> ...
<img src="https://imagex.cdn.examgoal.net/1kmnk2bhs/0320e232-177e-46b4-93ce-dde9...
Match List - I with List - II<br><br><table> <thead> <tr> <th></th> <t...
Match List - I with List - II :<br><br><b>List - I (Chemicals)</b><br><br>(a) Al...
The statements that are TRUE :<br><br>(A) Methane leads to both global warming a...
Match List - I with List - II<br><br><table> <thead> <tr> <th></th> <t...
Compound with molecular formula C<sub>3</sub>H<sub>6</sub>O can show :
The correct structures of trans-[NiBr<sub>2</sub>(PPh<sub>3</sub>)<sub>2</sub>] ...
A certain orbital has no angular nodes and two radial nodes. The orbital is :
<img src="https://imagex.cdn.examgoal.net/1kmnk8mm3/a1ab8b19-0e94-4dbd-9d94-86b7...
Match List - I with List - II<br><br><table> <thead> <tr> <th></th> <t...
Given below are two statements : One is labelled as Assertion A and the other la...
The number of ionisable hydrogens present in the product obtained from a reactio...
In a binary compound, atoms of element A form a hcp structure and those of eleme...
The chemical that is added to reduce the melting point of the reaction mixture d...
AX is a covalent diatomic molecule where A and X are second row elements of peri...
In order to prepare a buffer solution of pH 5.74, sodium acetate is added to ace...
2NO(g) + Cl<sub>2</sub>(g) $$\rightleftharpoons $$ 2NOCl(s) <br><br>This reactio...
For the reaction C<sub>2</sub>H<sub>6</sub> $$ \to $$ C<sub>2</sub>H<sub>4</sub>...
__________ grams of 3-Hydroxy propanal (MW = 74) must be dehydrated to produce 7...
A reaction of 0.1 mole of Benzylamine with bromomethane gave 23 g of Benzyl trim...
The total number of unpaired electrons present in the complex K<sub>3</sub>[Cr(o...
2 molal solution of a weak acid HA has a freezing point of 3.885$$^\circ$$C. The...
For the reaction <br><br>2Fe<sup>3+</sup>(aq) + 2I<sup>$$-$$</sup>(aq) $$ \to $$...
Complete combustion of 3g of ethane gives x $$\times$$ 10<sup>22</sup> molecules...

Mathematics

The differential equation satisfied by the system of parabolas <br><br>y<sup>2</...
The number of integral values of m so that the abscissa of point of intersection...
Let (1 + x + 2x<sup>2</sup>)<sup>20</sup> = a<sub>0</sub> + a<sub>1</sub>x + a<s...
The solutions of the equation $$\left| {\matrix{ {1 + {{\sin }^2}x} &amp; {{{...
Choose the correct statement about two circles whose equations are given below :...
Let $$\alpha$$, $$\beta$$, $$\gamma$$ be the real roots of the equation, x<sup>3...
The integral $$\int {{{(2x - 1)\cos \sqrt {{{(2x - 1)}^2} + 5} } \over {\sqrt {4...
The equation of one of the straight lines which passes through the point (1, 3) ...
If $$\mathop {\lim }\limits_{x \to 0} {{{{\sin }^{ - 1}}x - {{\tan }^{ - 1}}x} \...
A vector $$\overrightarrow a $$ has components 3p and 1 with respect to a rectan...
If the equation $$a|z{|^2} + \overline {\overline \alpha z + \alpha \overline z...
For the four circles M, N, O and P, following four equations are given :<br><br>...
If $$\alpha$$, $$\beta$$ are natural numbers such that <br>100<sup>$$\alpha$$</s...
The real valued function <br>$$f(x) = {{\cos e{c^{ - 1}}x} \over {\sqrt {x - [x]...
$${1 \over {{3^2} - 1}} + {1 \over {{5^2} - 1}} + {1 \over {{7^2} - 1}} + .... +...
If the functions are defined as $$f(x) = \sqrt x $$ and $$g(x) = \sqrt {1 - x} $...
If $$f(x) = \left\{ {\matrix{ {{1 \over {|x|}}} &amp; {;\,|x|\, \ge 1} \cr ...
Let $$A + 2B = \left[ {\matrix{ 1 &amp; 2 &amp; 0 \cr 6 &amp; { - 3} &am...
The sum of all the 4-digit distinct numbers that can be formed with the digits 1...
The value of $$3 + {1 \over {4 + {1 \over {3 + {1 \over {4 + {1 \over {3 + ....\...
The number of times the digit 3 will be written when listing the integers from 1...
Let the plane ax + by + cz + d = 0 bisect the line joining the points (4, $$-$$3...
Let f(x) and g(x) be two functions satisfying f(x<sup>2</sup>) + g(4 $$-$$ x) = ...
The missing value in the following figure is <br><br><img src="https://imagex.cd...
Let z<sub>1</sub>, z<sub>2</sub> be the roots of the equation z<sup>2</sup> + az...
The equation of the planes parallel to the plane x $$-$$ 2y + 2z $$-$$ 3 = 0 whi...
The mean age of 25 teachers in a school is 40 years. A teacher retires at the ag...
If $$f(x) = \int {{{5{x^8} + 7{x^6}} \over {{{({x^2} + 1 + 2{x^7})}^2}}}dx,(x \g...
A square ABCD has all its vertices on the curve x<sup>2</sup>y<sup>2</sup> = 1. ...
The number of solutions of the equation <br><br>$$|\cot x| = \cot x + {1 \over {...

Physics

An oil drop of radius 2 mm with a density 3g cm<sup>$$-$$3</sup> is held station...
Match List - I with List - II.<br><br>List - I<br><br>(a) 10 km height over eart...
Imagine that the electron in a hydrogen atom is replaced by a muon ($$\mu$$). Th...
A plane electromagnetic wave of frequency 100 MHz is travelling in vacuum along ...
A thin circular ring of mass M and radius r is rotating about its axis with an a...
Four identical long solenoids A, B, C and D are connected to each other as shown...
The P-V diagram of a diatomic ideal gas system going under cyclic process as sho...
In Young's double slit arrangement, slits are separated by a gap of 0.5 mm, and ...
A particle is travelling 4 time as fast as an electron. Assuming the ratio of de...
The position, velocity and acceleration of a particle moving with a constant acc...
In the experiment of Ohm's law, a potential difference of 5.0 V is applied acros...
In a series LCR resonance circuit, if we change the resistance only, from a lowe...
An AC source rated 220 V, 50 Hz is connected to a resistor. The time taken by th...
Your friend is having eye sight problem. She is not able to see clearly a distan...
A loop of flexible wire of irregular shape carrying current is placed in an exte...
The time period of a satellite in a circular orbit of radius R is T. The period ...
A particle performs simple harmonic motion with a period of 2 second. The time t...
The circuit shown in the figure consists of a charged capacitor of capacity 3 $$...
The voltage across the 10$$\Omega$$ resistor in the given circuit is x volt.<br>...
Two separate wires A and B are stretched by 2 mm and 4 mm respectively, when the...
A person is swimming with a speed of 10 m/s at an angle of 120$$^\circ$$ with th...
A parallel plate capacitor has plate area 100 m<sup>2</sup> and plate separation...
A ball of mass 10 kg moving with a velocity 10$$\sqrt 3 $$ m/s along the x-axis,...
As shown in the figure, a particle of mass 10 kg is placed at a point A. When th...
An npn transistor operates as a common emitter amplifier with a power gain of 10...
A bullet of mass 0.1 kg is fired on a wooden block to pierce through it, but it ...
The time period of a simple pendulum is given by $$T = 2\pi \sqrt {{l \over g}} ...
A constant power delivering machine has towed a box, which was initially at rest...
What will be the average value of energy along one degree of freedom for an idea...
A radioactive sample disintegrates via two independent decay processes having ha...

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