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## JEE Main 2021 (Online) 17th March Evening Shift

Exam Held on Wed Mar 17 2021 09:30:00 GMT+0000 (Coordinated Universal Time)
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## Chemistry

$${C_{12}}{H_{22}}{O_{11}} + {H_2}O\buildrel {Enzyme\,A} \over \longrightarrow ... Choose the correct statement regarding the formation of carbocations A and B giv... Nitrogen can be estimated by Kjeldahl's method for which of the following compou... The set of elements that differ in mutual relationship from those of the other s... Amongst the following, the linear species is : The correct pair(s) of the ambident nucleophiles is(are)<br><br>(A) AgCN/KCN<br>... Given below are two statements :<br><br>Statement I : 2-methylbutane on oxidatio... Match List - I with List - II :<br><br><table style="width:100%"> <thead> <tr>... The set that represents the pair of neutral oxides of nitrogen is : During which of the following processes, does entropy decrease?<br><br>(A) Freez... For the coagulation of a negative sol, the species below, that has the highest f... <img src="https://imagex.cdn.examgoal.net/1kmlj10xw/8489e9c0-7c02-47e7-8b81-f66b... Primary, secondary and tertiary amines can be separated using: Which of the following statement(s) is (are) incorrect reason for eutrophication... Match List - I with List - II.<br><br><table> <thead> <tr> <th></th> <... Match List - I with List - II :<br><br><table> <thead> <tr> <th></th> ... The functional groups that are responsible for the ion-exchange property of cati... One of the by-products formed during the recovery of NH<sub>3</sub> from Solvay ... Fructose is an example of : The common positive oxidation states for an element with atomic number 24, are :... A KCl solution of conductivity 0.14 S m<sup>$$-$$1</sup> shows a resistance of 4... On complete reaction of FeCl<sub>3</sub> with oxalic acid in aqueous solution co... The number of chlorine atoms in 20 mL of chlorine gas at STP is _________ 10<sup... KBr is doped with 10<sup>$$-$$5</sup> mole percent of SrBr<sub>2</sub>. The numb... <img src="https://imagex.cdn.examgoal.net/1kmlj3rr9/273f4265-01a7-4e33-9378-c3c4... The reaction 2A + B<sub>2</sub>$$ \to $$2AB is an elementary reaction.<br><br>... Consider the reaction<br><br>$$N_{2}O_{4}\left( g\right) \rightleftharpoons 2N...
In the ground state of atomic Fe(Z = 26), the spin-only magnetic moment is _____...
A 1 molal K<sub>4</sub>Fe(CN)<sub>6</sub> solution has a degree of dissociation ...
The total number of C-C sigma bond/s in mesityl oxide (C<sub>6</sub>H<sub>10</su...

## Mathematics

The number of solutions of the equation x + 2tanx = $${\pi \over 2}$$ in the in...
If the sides AB, BC and CA of a triangle ABC have 3, 5 and 6 interior points res...
Let a computer program generate only the digits 0 and 1 to form a string of bina...
Let f : R $$\to$$ R be defined as f(x) = e<sup>$$-$$x</sup>sinx. If F : [0, 1]...
Let S<sub>1</sub>, S<sub>2</sub> and S<sub>3</sub> be three sets defined as<br><...
Let the tangent to the circle x<sup>2</sup> + y<sup>2</sup> = 25 at the point R(...
The number of solutions of the equation <br><br>$${\sin ^{ - 1}}\left[ {{x^2} + ... If the equation of plane passing through the mirror image of a point (2, 3, 1) w... If the curve y = y(x) is the solution of the differential equation<br><br>$$2({...
Two tangents are drawn from a point P to the circle x<sup>2</sup> + y<sup>2</sup...
Let O be the origin. Let $$\overrightarrow {OP} = x\widehat i + y\widehat j - \... If the Boolean expression$$(p \wedge q) \odot (p \otimes q)$$is a tautology, t... If the integral <br><br>$$\int_0^{10} {{{[\sin 2\pi x]} \over {{e^{x - [x]}}}}}...
The value of the limit <br><br>$$\mathop {\lim }\limits_{\theta \to 0} {{\tan (... Consider the function f : R$$ \to $$R defined by <br><br>$$f(x) = \left\{ \ma...
Let L be a tangent line to the parabola y<sup>2</sup> = 4x $$-$$ 20 at (6, 2). I...
The value of $$\mathop {\lim }\limits_{n \to \infty } {{[r] + [2r] + ... + [nr]}... If x, y, z are in arithmetic progression with common difference d, x$$\ne$$3d,... The value of$$\sum\limits_{r = 0}^6 {\left( {{}^6{C_r}\,.\,{}^6{C_{6 - r}}} \ri...
Let y = y(x) be the solution of the differential equation <br><br>$$\cos x(3\sin... Let$$A = \left[ {\matrix{ a &amp; b \cr c &amp; d \cr } } \right]$$... Let the coefficients of third, fourth and fifth terms in the expansion of$${\le...
Let tan$$\alpha$$, tan$$\beta$$ and tan$$\gamma$$; $$\alpha$$, $$\beta$$, $$\gam... Let$$\overrightarrow x $$be a vector in the plane containing vectors$$\overri...
Let $${I_n} = \int_1^e {{x^{19}}{{(\log |x|)}^n}} dx$$, where n$$\in$$N. If (20)...
If 1, log<sub>10</sub>(4<sup>x</sup> $$-$$ 2) and log<sub>10</sub>$$\left( {{4^x... Consider a set of 3n numbers having variance 4. In this set, the mean of first 2... Let P be an arbitrary point having sum of the squares of the distances from the ... Let f : [$$-$$1, 1]$$ \to $$R be defined as f(x) = ax<sup>2</sup> + bx + c for... Let f : [$$-$$3, 1]$$ \to $$R be given as <br><br>$$f(x) = \left\{ \matrix{ ...

## Physics

A sound wave of frequency 245 Hz travels with the speed of 300 ms<sup>$$-$$1</su...
Which one of the following will be the output of the given circuit?<br><br><img ...
A carrier signal C(t) = 25 sin(2.512 $$\times$$ 10<sup>10</sup>t) is amplitude m...
Match List - I with List - II<br><br><table> <thead> <tr> <th></th> <t...
The atomic hydrogen emits a line spectrum consisting of various series. Which se...
A hairpin like shape as shown in figure is made by bending a long current carryi...
Two identical photocathodes receive the light of frequencies f<sub>1</sub> and f...
If one mole of the polyatomic gas is having two vibrational modes and $$\beta$$ ...
Two cells of emf 2E and E with internal resistance r<sub>1</sub> and r<sub>2</su...
What happens to the inductive reactance and the current in a purely inductive ci...
A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of 1 ms<...
Two particles A and B of equal masses are suspended from two massless springs of...
The velocity of a particle is v = v<sub>0</sub> + gt + Ft<sup>2</sup>. Its posit...
A block of mass 1 kg attached to a spring is made to oscillate with an initial a...
A rubber ball is released from a height of 5 m above the floor. It bounces back ...
The four arms of a Wheatstone bridge have resistances as shown in the figure. A ...
Which one is the correct option for the two different thermodynamic processes?<b...
Two identical blocks A and B each of mass m resting on the smooth horizontal flo...
A geostationary satellite is orbiting around an arbitrary planet 'P' at a height...
An object is located at 2 km beneath the surface of the water. If the fractional...
Suppose you have taken a dilute solution of oleic acid in such a way that its co...
The disc of mass M with uniform surface mass density $$\sigma$$ is shown in the ...
The image of an object placed in air formed by a convex refracting surface is at...
The electric field intensity produced by the radiation coming from a 100 W bulb ...
The electric field in a region is given by $$\overrightarrow E = {2 \over 5}{E_... A 2$$\mu$$F capacitor C<sub>1</sub> is first charged to a potential difference o... A boy of mass 4 kg is standing on a piece of wood having mass 5 kg. If the coeff... A body of mass 1 kg rests on a horizontal floor with which it has a coefficient ... A particle of mass m moves in a circular orbit in a <br>central potential field ... Seawater at a frequency f = 9$$\times$$10<sup>2</sup> Hz, has permittivity$$\...

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