JEE Main 2021 (Online) 17th March Evening Shift

Paper was held on
Wed, Mar 17, 2021 9:30 AM

## Chemistry

$${C_{12}}{H_{22}}{O_{11}} + {H_2}O\buildrel {Enzyme\,A} \over
\longrightarrow \mathop {{C_6}{H_{12}}{O_6}}\limits_{Glu

View Question Choose the correct statement regarding the formation of carbocations A and B given.

View Question Nitrogen can be estimated by Kjeldahl's method for which of the following compound?

View Question Amongst the following, the linear species is :

View Question The correct pair(s) of the ambident nucleophiles is(are)(A) AgCN/KCN(B) RCOOAg/RCOOK(C) AgNO2/KNO2(D) AgI/KI

View Question Given below are two statements :Statement I : 2-methylbutane on oxidation with KMnO4 gives 2-methylbutan-2-ol.Statement

View Question During which of the following processes, does entropy decrease?(A) Freezing of water to ice at 0$$^\circ$$C(B) Freezing

View Question In the above reaction, the structural formula of (A), ''X'' and ''Y'' respectively are :

View Question Primary, secondary and tertiary amines can be separated using:

View Question Match List - I with List - II :
List - I
List - II
(a)
$$[Co{(N{H_3})_6}][Cr{(CN)_

View Question Fructose is an example of :

View Question The common positive oxidation states for an element with atomic number 24, are :

View Question A KCl solution of conductivity 0.14 S m$$-$$1 shows a resistance of 4.19$$\Omega$$ in a conductivity cell. If the same c

View Question On complete reaction of FeCl3 with oxalic acid in aqueous solution containing KOH, resulted in the formation of product

View Question Consider the above reaction. The percentage yield of amide product is __________. (Round off to the Nearest Integer).(Gi

View Question The reaction 2A + B2 $$ \to $$ 2AB is an elementary reaction.For a certain quantity of reactants, if the volume of the r

View Question Consider the reaction $$N_{2}O_{4}\left( g\right) \rightleftharpoons 2NO_{2}\left( g\right) $$The temperature at whic

View Question In the ground state of atomic Fe(Z = 26), the spin-only magnetic moment is ____________ $$\times$$ 10$$-$$1 BM. (Round o

View Question A 1 molal K4Fe(CN)6 solution has a degree of dissociation of 0.4. Its boiling point is equal to that of another solution

View Question The total number of C-C sigma bond/s in mesityl oxide (C6H10O) is __________. (Round off to the Nearest Integer).

View Question ## Mathematics

If the sides AB, BC and CA of a triangle ABC have 3, 5 and 6 interior points respectively, then the total number of tria

View Question Let a computer program generate only the digits 0 and 1 to form a string of binary numbers with probability of occurrenc

View Question Let f : R $$ \to $$ R be defined as f(x) = e$$-$$xsinx. If F : [0, 1] $$ \to $$ R is a differentiable function with that

View Question Let S1, S2 and S3 be three sets defined asS1 = {z$$\in$$C : |z $$-$$ 1| $$ \le $$ $$\sqrt 2 $$}S2 = {z$$\in$$C : Re((1 $

View Question The number of solutions of the equation $${\sin ^{ - 1}}\left[ {{x^2} + {1 \over 3}} \right] + {\cos ^{ - 1}}\left[ {{x^

View Question If the curve y = y(x) is the solution of the differential equation $$2({x^2} + {x^{5/4}})dy - y(x + {x^{1/4}})dx = {2x^{

View Question Let O be the origin. Let $$\overrightarrow {OP} = x\widehat i + y\widehat j - \widehat k$$ and $$\overrightarrow {OQ}

View Question If the integral
$$\int_0^{10} {{{[\sin 2\pi x]} \over {{e^{x - [x]}}}}} dx = \alpha {e^{ - 1}} + \beta {e^{ - {1 \over

View Question The value of the limit $$\mathop {\lim }\limits_{\theta \to 0} {{\tan (\pi {{\cos }^2}\theta )} \over {\sin (2\pi {{\si

View Question Consider the function f : R $$ \to $$ R defined by
$$f(x) = \left\{ \matrix{
\left( {2 - \sin \left( {{1 \over x}} \r

View Question The value of $$\mathop {\lim }\limits_{n \to \infty } {{[r] + [2r] + ... + [nr]} \over {{n^2}}}$$, where r is a non-zero

View Question If x, y, z are in arithmetic progression with common difference d, x $$\ne$$ 3d, and the determinant of the matrix $$\le

View Question Let y = y(x) be the solution of the differential equation $$\cos x(3\sin x + \cos x + 3)dy = (1 + y\sin x(3\sin x + \cos

View Question Let $$A = \left[ {\matrix{
a & b \cr
c & d \cr
} } \right]$$ and $$B = \left[ {\matrix{
\alpha

View Question Let the coefficients of third, fourth and fifth terms in the expansion of $${\left( {x + {a \over {{x^2}}}} \right)^n},x

View Question Let tan$$\alpha$$, tan$$\beta$$ and tan$$\gamma$$; $$\alpha$$, $$\beta$$, $$\gamma$$ $$\ne$$ $${{(2n - 1)\pi } \over 2}$

View Question Let $$\overrightarrow x $$ be a vector in the plane containing vectors $$\overrightarrow a = 2\widehat i - \widehat j +

View Question Let $${I_n} = \int_1^e {{x^{19}}{{(\log |x|)}^n}} dx$$, where n$$\in$$N. If (20)I10 = $$\alpha$$I9 + $$\beta$$I8, for na

View Question If 1, log10(4x $$-$$ 2) and log10$$\left( {{4^x} + {{18} \over 5}} \right)$$ are in arithmetic progression for a real nu

View Question Consider a set of 3n numbers having variance 4. In this set, the mean of first 2n numbers is 6 and the mean of the remai

View Question Let f : [$$-$$1, 1] $$ \to $$ R be defined as f(x) = ax2 + bx + c for all x$$\in$$[$$-$$1, 1], where a, b, c$$\in$$R suc

View Question Let f : [$$-$$3, 1] $$ \to $$ R be given as $$f(x) = \left\{ \matrix{
\min \,\{ (x + 6),{x^2}\}, - 3 \le x \le 0 \hfil

View Question ## Physics

A sound wave of frequency 245 Hz travels with the speed of 300 ms$$-$$1 along the positive x-axis. Each point of the wav

View Question Which one of the following will be the output of the given circuit?

View Question Match List - I with List - II
List - I
List - II
(a)
Phase difference between curr

View Question The atomic hydrogen emits a line spectrum consisting of various series. Which series of hydrogen atomic spectra is lying

View Question A hairpin like shape as shown in figure is made by bending a long current carrying wire. What is the magnitude of a magn

View Question Two identical photocathodes receive the light of frequencies f1 and f2 respectively. If the velocities of the photo-elec

View Question If one mole of the polyatomic gas is having two vibrational modes and $$\beta$$ is the ratio of molar specific heats for

View Question Two cells of emf 2E and E with internal resistance r1 and r2 respectively are connected in series to an external resisto

View Question What happens to the inductive reactance and the current in a purely inductive circuit if the frequency is halved?

View Question A sphere of mass 2 kg and radius 0.5 m is rolling with an initial speed of 1 ms-1 goes up an inclined plane which makes

View Question Two particles A and B of equal masses are suspended from two massless springs of spring constants K1 and K2 respectively

View Question The velocity of a particle is v = v0 + gt + Ft2. Its position is x = 0 at t = 0; then its displacement after time (t = 1

View Question A rubber ball is released from a height of 5 m above the floor. It bounces back repeatedly, always rising to $${{81} \ov

View Question The four arms of a Wheatstone bridge have resistances as shown in the figure. A galvanometer of 15$$\Omega$$ resistance

View Question Which one is the correct option for the two different thermodynamic processes?

View Question Two identical blocks A and B each of mass m resting on the smooth horizontal floor are connected by a light spring of na

View Question A geostationary satellite is orbiting around an arbitrary planet 'P' at a height of 11R above the surface of 'P', R bein

View Question An object is located at 2 km beneath the surface of the water. If the fractional compression $${{\Delta V} \over V}$$ is

View Question Suppose you have taken a dilute solution of oleic acid in such a way that its concentration becomes 0.01 cm3 of oleic ac

View Question The disc of mass M with uniform surface mass density $$\sigma$$ is shown in the figure. The centre of mass of the quarte

View Question The image of an object placed in air formed by a convex refracting surface is at a distance of 10 m behind the surface.

View Question The electric field intensity produced by the radiation coming from a 100 W bulb at a distance of 3 m is E. The electric

View Question The electric field in a region is given by $$\overrightarrow E = {2 \over 5}{E_0}\widehat i + {3 \over 5}{E_0}\widehat

View Question A 2$$\mu$$F capacitor C1 is first charged to a potential difference of 10V using a battery. Then the battery is removed

View Question A boy of mass 4 kg is standing on a piece of wood having mass 5 kg. If the coefficient of friction between the wood and

View Question A body of mass 1 kg rests on a horizontal floor with which it has a coefficient of static friction $${1 \over {\sqrt 3 }

View Question A particle of mass m moves in a circular orbit in a central potential field U(r) = U0r4. If Bohr's quantization conditio

View Question Seawater at a frequency f = 9 $$\times$$ 102 Hz, has permittivity $$\varepsilon $$ = 80$$\varepsilon $$0 and resistivity

View Question