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JEE Main 2021 (Online) 20th July Morning Shift

Exam Held on Tue Jul 20 2021 03:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

According to the valence bond theory the hybridization of central metal atom is ...
The correct structure of Rhumann's Purple, the compound formed in the reaction o...
Green chemistry in day-to-day life is in the use of :
The correct order of intensity of colors of the compounds is :
The set in which compounds have different nature is :
The species given below that does NOT show disproportionation reaction is :
Given below are two statements. One is labelled as Assertion A nd the other is l...
Orlon fibres are made up of :
Given below are two statements : One is labelled as Assertion A and other is lab...
Chemical nature of the nitrogen oxide compound obtained from a reaction of conce...
An inorganic Compound 'X' on treatment with concentrated H<sub>2</sub>SO<sub>4</...
<picture><source media="(max-width: 320px)" srcset="https://imagex.cdn.examgoal....
A s-block element (M) reacts with oxygen to form an oxide of the formula MO<sub>...
In the given reaction <br/><br/>3-Bromo-2, 2-dimethyl butane $$\buildrel {{C_2}...
The metal that can be purified economically by fractional distillation method is...
Compound A is converted to B on reaction with CHCl<sub>3</sub> and KOH. The comp...
The conditions given below are in the context of observing Tyndall effect in col...
Identify the incorrect statement from the following
<img src="https://imagex.cdn.examgoal.net/1krq7ybcu/ce4f042c-19f0-4fe9-a0ed-e522...
<img src="https://imagex.cdn.examgoal.net/1krq7od1h/0e42c9bd-bbe3-4926-ad7b-5007...
The number of lone pairs of electrons on the central I atom in I$$_3^ - $$ is __...
250 mL of 0.5 M NaOH was added to 500 mL of 1 M HCl. The number of unreacted HCl...
The Azimuthal quantum number for the valence electrons of Ga<sup>+</sup> ion is ...
The spin-only magnetic moment value for the complex [Co(CN)<sub>6</sub>]<sup>4$$...
2SO<sub>2</sub>(g) + O<sub>2</sub>(g) $$\rightleftharpoons$$ 2SO<sub>3</sub>(g)<...
The number of nitrogen atoms in a semicarbazone molecule of acetone is _________...
To synthesize 1.0 mole of 2-methylpropan-2-ol from Ethylethanoate ___________ eq...
The inactivation rate of a viral preparation is proportional to the amount of vi...
An average person needs about 10000 kJ energy per day. The amount of glucose (mo...
At 20$$^\circ$$ C, the vapour pressure of benzene is 70 torr and that of methyl ...

Mathematics

The Boolean expression $$(p \wedge \sim q) \Rightarrow (q \vee \sim p)$$ is eq...
Let a be a positive real number such that $$\int_0^a {{e^{x - [x]}}} dx = 10e - ...
The mean of 6 distinct observations is 6.5 and their variance is 10.25. If 4 out...
The value of the integral $$\int\limits_{ - 1}^1 {{{\log }_e}(\sqrt {1 - x} + \...
If $$\alpha$$ and $$\beta$$ are the distinct roots of the equation $${x^2} + {(3...
Let $$A = \left[ {\matrix{ 2 &amp; 3 \cr a &amp; 0 \cr } } \right]$$...
If z and $$\omega$$ are two complex numbers such that $$\left| {z\omega } \right...
If in a triangle ABC, AB = 5 units, $$\angle B = {\cos ^{ - 1}}\left( {{3 \over ...
Let [ x ] denote the greatest integer $$\le$$ x, where x $$\in$$ R. If the domai...
Let y = y(x) be the solution of the differential equation $$x\tan \left( {{y \ov...
The coefficient of x<sup>256</sup> in the expansion of <br/><br/>(1 $$-$$ x)<sup...
Let $$A = [{a_{ij}}]$$ be a 3 $$\times$$ 3 matrix, where $${a_{ij}} = \left\{ {\...
Let $$\overrightarrow a = 2\widehat i + \widehat j - 2\widehat k$$ and $$\overr...
The number of real roots of the equation $${\tan ^{ - 1}}\sqrt {x(x + 1)} + {\s...
Let y = y(x) be the solution of the differential equation $${e^x}\sqrt {1 - {y^2...
Let 'a' be a real number such that the function f(x) = ax<sup>2</sup> + 6x $$-$$...
Let a function f : R $$\to$$ R be defined as $$f(x) = \left\{ {\matrix{ {\sin...
Words with or without meaning are to be formed using all the letters of the word...
The probability of selecting integers a$$\in$$[$$-$$ 5, 30] such that x<sup>2</s...
Let the tangent to the parabola S : y<sup>2</sup> = 2x at the point P(2, 2) meet...
Let $$\overrightarrow a $$, $$\overrightarrow b $$, $$\overrightarrow c $$ be th...
Let $$A = \left( {\matrix{ 1 &amp; { - 1} &amp; 0 \cr 0 &amp; 1 &amp; { ...
Let P be a plane passing through the points (1, 0, 1), (1, $$-$$2, 1) and (0, 1,...
The number of rational terms in the binomial expansion of $${\left( {{4^{{1 \ove...
If the shortest distance between the lines $$\overrightarrow {{r_1}} = \alpha \...
Let T be the tangent to the ellipse E : x<sup>2</sup> + 4y<sup>2</sup> = 5 at th...
Let a, b, c, d in arithmetic progression with common difference $$\lambda$$. If ...
There are 15 players in a cricket team, out of which 6 are bowlers, 7 are batsma...
Let y = mx + c, m &gt; 0 be the focal chord of y<sup>2</sup> = $$-$$ 64x, which ...
If the value of $$\mathop {\lim }\limits_{x \to 0} {(2 - \cos x\sqrt {\cos 2x} )...

Physics

A deuteron and an alpha particle having equal kinetic energy enter perpendicular...
For the circuit shown below, calculate the value of I<sub>z</sub> :<br><br><img ...
A current of 5 A is passing through a non-linear magnesium wire of cross-section...
The normal reaction 'N' for a vehicle of 800 kg mass, negotiating a turn on a 30...
Consider a mixture of gas molecule of types A, B and C having masses m<sub>A</su...
The amount of heat needed to raise the temperature of 4 moles of rigid diatomic...
A butterfly is flying with a velocity $$4\sqrt 2 $$ m/s in North-East direction....
A certain charge Q is divided into two parts q and (Q $$-$$ q). How should the c...
The arm PQ of a rectangular conductor is moving from x = 0 to x = 2b outwards an...
<img src="https://imagex.cdn.examgoal.net/1krq85xly/574a135c-8c19-4860-8ac4-40e3...
A radioactive material decays by simultaneous emissions of two particles with ha...
A steel block of 10 kg rests on a horizontal floor as shown. When three iron cyl...
A nucleus of mass M emits $$\gamma$$ -ray photon of frequency 'v'. The loss of i...
The radiation corresponding to 3 $$\to$$ 2 transition of a hydrogen atom falls o...
If $$\overrightarrow A $$ and $$\overrightarrow B $$ are two vectors satisfying ...
The entropy of any system is given by <br>$$S = {\alpha ^2}\beta \ln \left[ {{{\...
AC voltage V(t) = 20 sin$$\omega$$t of frequency 50 Hz is applied to a parallel ...
Region I and II are separated by a spherical surface of radius 25 cm. An object ...
A person whose mass is 100 kg travels from Earth to Mars in a spaceship. Neglect...
The value of tension in a long thin metal wire has been changed from T<sub>1</su...
A body having specific charge 8 $$\mu$$C/g is resting on a frictionless plane at...
In a spring gun having spring constant 100 N/m a small ball 'B' of mass 100 g is...
A carrier wave V<sub>c</sub>(t) = 160 sin(2$$\pi$$ $$\times$$ 10<sup>6</sup>t) v...
An object viewed from a near point distance of 25 cm, using a microscopic lens w...
The frequency of a car horn encountered a change from 400 Hz to 500 Hz, when the...
A circular disc reaches from top to bottom of an inclined plane of length 'L'. W...
The amplitude of wave disturbance propagating in the positive x-direction is giv...
In an LCR series circuit, an inductor 30 mH and a resistor 1 $$\Omega$$ are conn...
A rod of mass M and length L is lying on a horizontal frictionless surface. A pa...
In the reported figure, heat energy absorbed by a system in going through a cycl...

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