JEE Main 2021 (Online) 20th July Morning Shift
Paper was held on Tue, Jul 20, 2021 3:30 AM
View Questions

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
Green chemistry in day-to-day life is in the use of :
View Question
The correct order of intensity of colors of the compounds is :
View Question
The set in which compounds have different nature is :
View Question
The species given below that does NOT show disproportionation reaction is :
View Question
Given below are two statements. One is labelled as Assertion A nd the other is labelled as Reason R.Assertion A : Sharp
View Question
Orlon fibres are made up of :
View Question
Given below are two statements : One is labelled as Assertion A and other is labelled as Reason R. Assertion A : The dih
View Question
Chemical nature of the nitrogen oxide compound obtained from a reaction of concentrated nitric acid and P4O10 (in 4 : 1
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
A s-block element (M) reacts with oxygen to form an oxide of the formula MO2. The oxide is pale yellow in colour and par
View Question
In the given reaction 3-Bromo-2, 2-dimethyl butane $$\buildrel {{C_2}{H_5}OH} \over \longrightarrow \mathop {'A'}\limi
View Question
The metal that can be purified economically by fractional distillation method is :
View Question
Compound A is converted to B on reaction with CHCl3 and KOH. The compound B is toxic and can be decomposed by C. A, B an
View Question
The conditions given below are in the context of observing Tyndall effect in colloidal solutions :(A) The diameter of th
View Question
Identify the incorrect statement from the following
View Question
Which among the above compound/s does/do not form Silver mirror when treated with Tollen's reagent?
View Question
For above chemical reactions, identify the correct statement from the following :
View Question
The number of lone pairs of electrons on the central I atom in I$$_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

The Boolean expression $$(p \wedge \sim q) \Rightarrow (q \vee \sim p)$$ is equivalent to :
View Question
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 $$\arg (z) - \arg (\omega )
View Question
If in a triangle ABC, AB = 5 units, $$\angle B = {\cos ^{ - 1}}\left( {{3 \over 5}} \right)$$ and radius of circumcircle
View Question
Let [ x ] denote the greatest integer $$\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 $$x\tan \left( {{y \over x}} \right)dy = \left( {y\tan \left(
View Question
The coefficient of x256 in the expansion of (1 $$-$$ x)101 (x2 + x + 1)100 is :
View Question
Let $$A = [{a_{ij}}]$$ be a 3 $$\times$$ 3 matrix, where $${a_{ij}} = \left\{ {\matrix{ 1 & , & {if\,i = j}
View Question
Let $$\overrightarrow a = 2\widehat i + \widehat j - 2\widehat k$$ and $$\overrightarrow b = \widehat i + \widehat j$$
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$$\i
View Question
Let the tangent to the parabola S : y2 = 2x at the point P(2, 2) meet the x-axis at Q and normal at it meet the parabola
View Question
Let $$\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
Let P be a plane passing through the points (1, 0, 1), (1, $$-$$2, 1) and (0, 1, $$-$$2). Let a vector $$\overrightarrow
View Question
The number of rational terms in the binomial expansion of $${\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
Let y = mx + c, m > 0 be the focal chord of y2 = $$-$$ 64x, which is tangent to (x + 10)2 + y2 = 4. Then, the value o
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$$ resistance is :
View Question
A radioactive material decays by simultaneous emissions of two particles with half lives of 1400 years and 700 years res
View Question
A steel block of 10 kg rests on a horizontal floor as shown. When three iron cylinders are placed on it as shown, the bl
View Question
A nucleus of mass M emits $$\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
A carrier wave Vc(t) = 160 sin(2$$\pi$$ $$\times$$ 106t) volts is made to vary between Vmax = 200 V and Vmin = 120 V by
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
The frequency of a car horn encountered a change from 400 Hz to 500 Hz, when the car approaches a vertical wall. If the
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
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
CBSE
Class 12