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## JEE Main 2021 (Online) 16th March Morning Shift

Exam Held on Tue Mar 16 2021 03:30:00 GMT+0000 (Coordinated Universal Time)
Click View All Questions to see questions one by one or you can choose a single question from below.

## Chemistry

<img src="https://imagex.cdn.examgoal.net/1kmim07ue/b1045039-2ab2-4a78-a0b2-e7c9...
Given below are two statements : one is labeled as Assertion A and the other is ...
<img src="https://imagex.cdn.examgoal.net/1kmim2mw5/9b1f58df-33f9-40bc-81f4-2374...
The type of pollution that gets increased during the day time and in the presenc...
The functions of antihistamine are :
Match List - I with List - II :<br><br><table> <thead> <tr> <th></th> ...
Assertion A : Enol form of acetone [CH<sub>3</sub>COCH<sub>3</sub>] exists in &l...
Given below are two statements :<br><br>Statement I : The E<sup>o</sup> value fo...
In chromotography technique, the purification of compound is independent of :
Given below are two statements :<br><br>Statement I : H<sub>2</sub>O<sub>2</sub>...
A group of 15 element, which is a metal and forms a hydride with strongest reduc...
Among the following, the aromatic compounds are :<br><br><img src="https://image...
Match List - I with List - II :<br><br><table> <thead> <tr> <th></th> ...
Which of the following reactions DOES NOT involve Hoffmann bromamide degradation...
Which of the following is Lindlar catalyst?
Given below are two statements :<br><br>Statement I : Both CaCl<sub>2</sub> . 6H...
Which among the following pairs of Vitamins is stored in our body relatively for...
The process that involves the removal of sulphur from the ores is :
Given below are two statement : one is labelled as Assertion A and the other is ...
<img src="https://imagex.cdn.examgoal.net/1kmim9vu6/82a308db-d4db-406c-877a-e750...
The equivalents of ethylene diamine required to replace the neutral ligands from...
Two salts A<sub>2</sub>X and MX have the same value of solubility product of 4.0...
Complete combustion of 750 g of an organic compound provides 420 g of CO<sub>2</...
For the reaction $$A(g) \rightleftharpoons B(g)$$ at 495 K, $$\Delta$$<sub>r</su...
$$2MnO_4^ - + b{C_2}O_4^{2 - } + c{H^ + } \to xM{n^{2 + }} + yC{O_2} + z{H_2}O... A certain element crystallises in a bcc lattice of unit cell edge length 27$$\ma...
A 6.50 molal solution of KOH (aq.) has a density of 1.89 g cm<sup>$$-$$3</sup>. ...
AB<sub>2</sub> is 10% dissociated in water to A<sup>2+</sup> and B<sup>$$-$$</su...
When light of wavelength 248 nm falls on a metal of threshold energy 3.0 eV, the...
The decomposition of formic acid on gold surface follows first order kinetics. I...

## Mathematics

Let a vector $$\alpha \widehat i + \beta \widehat j$$ be obtained by rotating th...
Let $${S_k} = \sum\limits_{r = 1}^k {{{\tan }^{ - 1}}\left( {{{{6^r}} \over {{2^... Let the position vectors of two points P and Q be 3$$\widehat i-\wideh...
Which of the following Boolean expression is a tautology?
The number of elements in the set {x $$\in$$ R : (|x| $$-$$ 3) |x + 4| = 6} is e...
If the three normals drawn to the parabola, y<sup>2</sup> = 2x pass through the ...
Let a complex number z, |z| $$\ne$$ 1, <br><br>satisfy $${\log _{{1 \over {\sqrt... Let$$A = \left[ {\matrix{ i &amp; { - i} \cr { - i} &amp; i \cr } }...
Let P be a plane lx + my + nz = 0 containing <br><br>the line, $${{1 - x} \over ... The number of roots of the equation, (81)<sup>sin<sup>2</sup>x</sup> + (81)<sup>... If n is the number of irrational terms in the <br>expansion of$${\left( {{3^{1/...
The locus of the midpoints of the chord of the circle, x<sup>2</sup> + y<sup>2</...
Let the functions f : R $$\to$$ R and g : R $$\to$$ R be defined as :<br><br...
If for a &gt; 0, the feet of perpendiculars from the points A(a, $$-$$2a, 3) and...
Let [ x ] denote greatest integer less than or equal to x. If for n$$\in$$N, <br...
Consider three observations a, b, and c such that b = a + c. If the standard dev...
The range of a$$\in$$R for which the <br><br>function f(x) = (4a $$-$$ 3)(x + lo...
If for x $$\in$$ $$\left( {0,{\pi \over 2}} \right)$$, log<sub>10</sub>sinx + l...
A pack of cards has one card missing. Two cards are drawn randomly and are found...
If y = y(x) is the solution of the differential equation, <br><br>$${{dy} \over ... Let the curve y = y(x) be the solution of the differential equation,$${{dy} \ov...
Let ABCD be a square of side of unit length. Let a circle C<sub>1</sub> centered...
Let f : R $$\to$$ R be a continuous function such that f(x) + f(x + 1) = 2, fo...
Let f : (0, 2) $$\to$$ R be defined as f(x) = log<sub>2</sub>$$\left( {1 + \ta... If the normal to the curve y(x) =$$\int\limits_0^x {(2{t^2} - 15t + 10)dt} $$a... Consider an arithmetic series and a geometric series having four initial terms f... Let$$P = \left[ {\matrix{ { - 30} &amp; {20} &amp; {56} \cr {90} &amp; ...
If $$\mathop {\lim }\limits_{x \to 0} {{a{e^x} - b\cos x + c{e^{ - x}}} \over {x... Let z and$$\omega$$be two complex numbers such that$$\omega = z\overline z -...
The total number of 3 $$\times$$ 3 matrices A having entries from the set {0, 1,...

## Physics

The pressure acting on a submarine is 3 $$\times$$ 10<sup>5</sup> Pa at a certai...
A 25 m long antenna is mounted on an antenna tower. The height of the antenna to...
The velocity-displacement graph describing the motion of bicycle is shown in the...
A block of mass m slides along a floor while a force of magnitude F is applied t...
A block of 200 g mass moves with a uniform speed in a horizontal circular groove...
Time period of a simple pendulum is T inside a lift when the lift is stationary....
The angle of deviation through a prism is minimum when<br><br><img src="https://...
Four equal masses, m each are placed at the comers of a square of length (l) as ...
In thermodynamics, heat and work are :
For changing the capacitance of a given parallel plate capacitor, a dielectric m...
A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along ...
The maximum and minimum distances of a comet from the Sun are 1.6 $$\times$$ 10<...
A conducting wire of length 'l', area of cross-section A and electric resistivit...
A bar manet of length 14 cm is placed in the magnetic meridian with its north po...
For an electromagnetic wave travelling in free space, the relation between avera...
The stopping potential in the context of photoelectric effect depends on the fol...
An RC circuit as shown in the figure is driven by a AC source generating a squar...
One main scale division of a vernier callipers is 'a' cm and n<sup>th</sup> divi...
A conducting bar of length L is free to slide on two parallel conducting rails a...
The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, ...
The value of power dissipated across the zener diode (V<sub>z</sub> = 15V) conne...
A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The s...
In the figure given, the electric current flowing through the 5 k$$\Omega$$ resi...
Consider a 20 kg uniform circular disk of radius 0.2 m. It is pin supported at i...
The resistance R = $${V \over I}$$, where V = (50 $$\pm$$ 2)V and I = (20 $$\pm... A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in ... In the logic circuit shown in the figure, if input A and B are 0 to 1 respective... A ball of mass 10 kg moving with a velocity$$10\sqrt 3 $$m s<sup>$$-$$1</sup> ... The first spectral lines of H-atom in the Balmer series are <br>given$$\lambda\$...
Consider a frame that is made up of two thin massless rods AB and AC as shown in...

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