JEE Main 2021 (Online) 20th July Morning Shift

Paper was held on
Tue, Jul 20, 2021 3:30 AM

## Chemistry

According to the valence bond theory the hybridization of central metal atom is dsp2 for which one of the following comp

View Question The correct structure of Rhumann's Purple, the compound formed in the reaction of ninhydrin with proteins is :

View Question The correct order of intensity of colors of the compounds is :

View Question The species given below that does NOT show disproportionation reaction is :

View Question An inorganic Compound 'X' on treatment with concentrated H2SO4 produces brown fumes and gives dark brown ring with FeSO4

View Question Among the given species the Resonance stabilised carbocations are :

View Question In the given reaction
3-Bromo-2, 2-dimethyl butane $$\buildrel {{C_2}{H_5}OH} \over
\longrightarrow \mathop {'A'}\limi

View Question Compound A is converted to B on reaction with CHCl3 and KOH. The compound B is toxic and can be decomposed by C. A, B an

View Question Identify the incorrect statement from the following

View Question Which among the above compound/s does/do not form Silver mirror when treated with Tollen's reagent?

View Question For above chemical reactions, identify the correct statement from the following :

View Question The number of lone pairs of electrons on the central I atom in I$$_3^ - $$ is ____________.

View Question 250 mL of 0.5 M NaOH was added to 500 mL of 1 M HCl. The number of unreacted HCl molecules in the solution after complet

View Question The Azimuthal quantum number for the valence electrons of Ga+ ion is ___________.(Atomic number of Ga = 31)

View Question The spin-only magnetic moment value for the complex [Co(CN)6]4$$-$$ is __________ BM.[At. no. of Co = 27]

View Question 2SO2(g) + O2(g) $$\rightleftharpoons$$ 2SO3(g)In an equilibrium mixture, the partial pressures are PSO3 = 43 kPa; PO2 =

View Question The number of nitrogen atoms in a semicarbazone molecule of acetone is ______________.

View Question To synthesize 1.0 mole of 2-methylpropan-2-ol from Ethylethanoate ___________ equivalents of CH3MgBr Reagent will be req

View Question The inactivation rate of a viral preparation is proportional to the amount of virus. In the first minute after preparati

View Question An average person needs about 10000 kJ energy per day. The amount of glucose (molar mass = 180.0 g mol$$-$$1) needed to

View Question At 20$$^\circ$$ C, the vapour pressure of benzene is 70 torr and that of methyl benzene is 20 torr. The mole fraction of

View Question ## Mathematics

Let a be a positive real number such that $$\int_0^a {{e^{x - [x]}}} dx = 10e - 9$$ where [ x ] is the greatest integer

View Question The mean of 6 distinct observations is 6.5 and their variance is 10.25. If 4 out of 6 observations are 2, 4, 5 and 7, th

View Question The value of the integral $$\int\limits_{ - 1}^1 {{{\log }_e}(\sqrt {1 - x} + \sqrt {1 + x} )dx} $$ is equal to:

View Question If $$\alpha$$ and $$\beta$$ are the distinct roots of the equation $${x^2} + {(3)^{1/4}}x + {3^{1/2}} = 0$$, then the va

View Question Let $$A = \left[ {\matrix{
2 & 3 \cr
a & 0 \cr
} } \right]$$, a$$\in$$R be written as P + Q where P

View Question If z and $$\omega$$ are two complex numbers such that $$\left| {z\omega } \right| = 1$$ and $$\arg (z) - \arg (\omega )

View Question Let [ x ] denote the greatest integer $$\le$$ x, where x $$\in$$ R. If the domain of the real valued function $$f(x) = \

View Question Let y = y(x) be the solution of the differential equation $$x\tan \left( {{y \over x}} \right)dy = \left( {y\tan \left(

View Question Let $$A = [{a_{ij}}]$$ be a 3 $$\times$$ 3 matrix, where $${a_{ij}} = \left\{ {\matrix{
1 & , & {if\,i = j}

View Question The number of real roots of the equation $${\tan ^{ - 1}}\sqrt {x(x + 1)} + {\sin ^{ - 1}}\sqrt {{x^2} + x + 1} = {\pi

View Question Let y = y(x) be the solution of the differential equation $${e^x}\sqrt {1 - {y^2}} dx + \left( {{y \over x}} \right)dy =

View Question Let 'a' be a real number such that the function f(x) = ax2 + 6x $$-$$ 15, x $$\in$$ R is increasing in $$\left( { - \inf

View Question Let a function f : R $$\to$$ R be defined as $$f(x) = \left\{ {\matrix{
{\sin x - {e^x}} & {if} & {x \le 0}

View Question Words with or without meaning are to be formed using all the letters of the word EXAMINATION. The probability that the l

View Question The probability of selecting integers a$$\in$$[$$-$$ 5, 30] such that x2 + 2(a + 4)x $$-$$ 5a + 64 > 0, for all x$$\i

View Question Let $$\overrightarrow a $$, $$\overrightarrow b $$, $$\overrightarrow c $$ be three mutually perpendicular vectors of th

View Question Let $$A = \left( {\matrix{
1 & { - 1} & 0 \cr
0 & 1 & { - 1} \cr
0 & 0 & 1 \cr

View Question The number of rational terms in the binomial expansion of $${\left( {{4^{{1 \over 4}}} + {5^{{1 \over 6}}}} \right)^{120

View Question If the shortest distance between the lines $$\overrightarrow {{r_1}} = \alpha \widehat i + 2\widehat j + 2\widehat k +

View Question Let T be the tangent to the ellipse E : x2 + 4y2 = 5 at the point P(1, 1). If the area of the region bounded by the tang

View Question Let a, b, c, d in arithmetic progression with common difference $$\lambda$$. If $$\left| {\matrix{
{x + a - c} &

View Question There are 15 players in a cricket team, out of which 6 are bowlers, 7 are batsman and 2 are wicketkeepers. The number of

View Question If the value of $$\mathop {\lim }\limits_{x \to 0} {(2 - \cos x\sqrt {\cos 2x} )^{\left( {{{x + 2} \over {{x^2}}}} \righ

View Question ## Physics

A deuteron and an alpha particle having equal kinetic energy enter perpendicularly into a magnetic field. Let rd and r$$

View Question For the circuit shown below, calculate the value of Iz :

View Question A current of 5 A is passing through a non-linear magnesium wire of cross-section 0.04 m2. At every point the direction o

View Question The normal reaction 'N' for a vehicle of 800 kg mass, negotiating a turn on a 30$$^\circ$$ banked road at maximum possib

View Question Consider a mixture of gas molecule of types A, B and C having masses mA < mB < mC. The ratio of their root mean sq

View Question The amount of heat needed to raise the temperature of 4 moles of rigid diatomic gas from 0$$^\circ$$ C to 50$$^\circ$$

View Question A butterfly is flying with a velocity $$4\sqrt 2 $$ m/s in North-East direction. Wind is slowly blowing at 1 m/s from No

View Question A certain charge Q is divided into two parts q and (Q $$-$$ q). How should the charges Q and q be divided so that q and

View Question The arm PQ of a rectangular conductor is moving from x = 0 to x = 2b outwards and then inwards from x = 2b to x = 0 as s

View Question The value of current in the 6 $$\Omega$$ resistance is :

View Question A steel block of 10 kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the bl

View Question A nucleus of mass M emits $$\gamma$$ -ray photon of frequency 'v'. The loss of internal energy by the nucleus is :[Take

View Question The radiation corresponding to 3 $$\to$$ 2 transition of a hydrogen atom falls on a gold surface to generate photoelectr

View Question If $$\overrightarrow A $$ and $$\overrightarrow B $$ are two vectors satisfying the relation $$\overrightarrow A $$ . $$

View Question The entropy of any system is given by $$S = {\alpha ^2}\beta \ln \left[ {{{\mu kR} \over {J{\beta ^2}}} + 3} \right]$$ w

View Question AC voltage V(t) = 20 sin$$\omega$$t of frequency 50 Hz is applied to a parallel plate capacitor. The separation between

View Question Region I and II are separated by a spherical surface of radius 25 cm. An object is kept in region I at a distance of 40

View Question A person whose mass is 100 kg travels from Earth to Mars in a spaceship. Neglect all other objects in sky and take acce

View Question The value of tension in a long thin metal wire has been changed from T1 to T2. The lengths of the metal wire at two diff

View Question A body having specific charge 8 $$\mu$$C/g is resting on a frictionless plane at a distance 10 cm from the wall (as show

View Question In a spring gun having spring constant 100 N/m a small ball 'B' of mass 100 g is put in its barrel (as shown in figure)

View Question An object viewed from a near point distance of 25 cm, using a microscopic lens with magnification '6', gives an unresolv

View Question A circular disc reaches from top to bottom of an inclined plane of length 'L'. When it slips down the plane, it makes ti

View Question The amplitude of wave disturbance propagating in the positive x-direction is given by $$y = {1 \over {{{(1 + x)}^2}}}$$

View Question In an LCR series circuit, an inductor 30 mH and a resistor 1 $$\Omega$$ are connected to an AC source of angular frequen

View Question A rod of mass M and length L is lying on a horizontal frictionless surface. A particle of mass 'm' travelling along the

View Question In the reported figure, heat energy absorbed by a system in going through a cyclic process is ___________ $$\pi$$J.

View Question