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JEE Main 2021 (Online) 27th August Evening Shift

Exam Held on Fri Aug 27 2021 09:30:00 GMT+0000 (Coordinated Universal Time)
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Chemistry

Choose the correct statement from the following :
The addition of dilute NaOH to Cr<sup>3+</sup> salt solution will give :
Given below are two statements :<br><br>Statement I : Ethyl pent-4-yn-oate on re...
In stratosphere most of the ozone formation is assisted by :
The compound/s which will show significant intermolecular H-bonding is/are :<br>...
Which one of the following chemicals is responsible for the production of HCl in...
The oxide that gives H<sub>2</sub>O<sub>2</sub> most readily on treatment with H...
Which one of the following reactions will not yield propionic acid?
The correct order of ionic radii for the ions, P<sup>3$$-$$</sup>, S<sup>2$$-$$<...
Which one of the following is the major product of the given reaction?<br><br><p...
The major product (A) formed in the reaction given below is :<br><br><picture><s...
Which one of the following is used to remove most of plutonium from spent nuclea...
Lyophilic sols are more stable than lyophobic sols because :
The major product of the following reaction, if it occurs by S<sub>N</sub>2 mech...
Potassium permanganate on heating at 513 K gives a product which is :
Which one of the following tests used for the identification of functional group...
Hydrolysis of sucrose gives :
Match List-I with List-II :<br><br><table> <thead> <tr> <th></th> <th>...
Which one of the following is formed (mainly) when red phosphorus is heated in a...
The correct structures of A and B formed in the following reactions are :<br><br...
The first order rate constant for the decomposition of CaCO<sub>3</sub> at 700 K...
The number of optical isomers possible for [Cr(C<sub>2</sub>O<sub>4</sub>)<sub>3...
Two flasks I and II shown below are connected by a valve of negligible volume.<b...
100 g of propane is completely reacted with 1000 g of oxygen. The mole fraction ...
40 g of glucose (Molar mass = 180) is mixed with 200 mL of water. The freezing p...
The resistance of a conductivity cell with cell constant 1.14 cm<sup>$$-$$1</sup...
The number of photons emitted by a monochromatic (single frequency) infrared ran...
When 5.1 g of solid NH<sub>4</sub>HS is introduced into a two litre evacuated fl...
The number of species having non-pyramidal shape among the following is ________...
Data given for the following reaction is as follows :<br><br>FeO<sub>(s)</sub> +...

Mathematics

The angle between the straight lines, whose direction cosines are given by the e...
Let $$A = \left( {\matrix{ {[x + 1]} &amp; {[x + 2]} &amp; {[x + 3]} \cr ... Let M and m respectively be the maximum and minimum values of the function <br>f... Each of the persons A and B independently tosses three fair coins. The probabili... A differential equation representing the family of parabolas with axis parallel ... If two tangents drawn from a point P to the <br>parabola y<sup>2</sup> = 16(x$$...
The equation of the plane passing through the line of intersection of the planes...
If the solution curve of the differential equation (2x $$-$$ 10y<sup>3</sup>)dy ...
<sub></sub>Let A(a, 0), B(b, 2b + 1) and C(0, b), b $$\ne$$ 0, |b| $$\ne$$ 1, be...
Let [$$\lambda$$] be the greatest integer less than or equal to $$\lambda$$. The...
The set of all values of K &gt; $$-$$1, for which the equation $${(3{x^2} + 4x +... A box open from top is made from a rectangular sheet of dimension a$$\times$$b... The Boolean expression (p$$\wedge$$q)$$\Rightarrow$$((r$$\wedge$$q)$$\wed...
Let Z be the set of all integers,<br><br>$$A = \{ (x,y) \in Z \times Z:{(x - 2)^... The area of the region bounded by the parabola (y$$-$$2)<sup>2</sup> = (x$$-\$...
If $$y(x) = {\cot ^{ - 1}}\left( {{{\sqrt {1 + \sin x} + \sqrt {1 - \sin x} } \... Two poles, AB of length a metres and CD of length a + b (b$$\ne$$a) metres are... If 0 &lt; x &lt; 1 and$$y = {1 \over 2}{x^2} + {2 \over 3}{x^3} + {3 \over 4}{x...
The value of the integral $$\int\limits_0^1 {{{\sqrt x dx} \over {(1 + x)(1 + 3x... If$$\mathop {\lim }\limits_{x \to \infty } \left( {\sqrt {{x^2} - x + 1} - ax}...
Let S be the sum of all solutions (in radians) of the equation $${\sin ^4}\theta... Let S be the mirror image of the point Q(1, 3, 4) with respect to the plane 2x ... The probability distribution of random variable X is given by :<br><br><style ty... Let z<sub>1</sub> and z<sub>2</sub> be two complex numbers such that$$\arg ({z_...
Let S = {1, 2, 3, 4, 5, 6, 9}. Then the number of elements in the set T = {A $$... Let A (sec$$\theta$$, 2tan$$\theta$$) and B (sec$$\phi$$, 2tan$$\phi$$), where ... Two circles each of radius 5 units touch each other at the point (1, 2). If the ... 3$$\times$$7<sup>22</sup> + 2$$\times$$10<sup>22</sup>$$-$$44 when divided... An online exam is attempted by 50 candidates out of which 20 are boys. The avera... If$$\int {{{2{e^x} + 3{e^{ - x}}} \over {4{e^x} + 7{e^{ - x}}}}dx = {1 \over {1...

Physics

Curved surfaces of a plano-convex lens of refractive index $$\mu$$<sub>1</sub> a...
The boxes of masse 2 kg and 8 kg are connected by a massless string passing over...
For a transistor $$\alpha$$ and $$\beta$$ are given as $$\alpha = {{{I_C}} \ove... Water drops are falling from a nozzle of a shower onto the floor, from a height ... Two discs have moments of inertia I<sub>1</sub> and I<sub>2</sub> about their re... Three capacitors C<sub>1</sub> = 2$$\mu$$F, C<sub>2</sub> = 6$$\mu$$F and C<sub>... The Colour coding on a carbon resistor is shown in the given figure. The resista... An antenna is mounted on a 400 m tall building. What will be the wavelength of s... if the rms speed of oxygen molecules at 0$$^\circ$$C is 160 m/s, find the rms sp... A constant magnetic field of 1T is applied in the x &gt; 0 region. A metallic ci... A mass of 50 kg is placed at the centre of a uniform spherical shell of mass 100... For full scale deflection of total 50 divisions, 50 mV voltage is required in ga... A monochromatic neon lamp with wavelength of 670.5 nm illuminates a photo-sensit... Match List - I with List - II.<br><br><table> <thead> <tr> <th></th> <... If force (F), length (L) and time (T) are taken as the fundamental quantities. T... A coaxial cable consists of an inner wire of radius 'a' surrounded by an outer s... The height of victoria falls is 63 m. What is the difference in temperature of w... A player kicks a football with an initial speed of 25 ms<sup>$$-$$1</sup> at an ... The light waves from two coherent sources have same intensity I<sub>1</sub> = I<... Figure shows a rod AB, which is bent in a 120$$^\circ$$circular arc of radius R... A heat engine operates between a cold reservoir at temperature T<sub>2</sub> = 4... Two simple harmonic motion, are represented by the equations$${y_1} = 10\sin \l...
X different wavelengths may be observed in the spectrum from a hydrogen sample i...
A zener diode of power rating 2W is to be used as a voltage regulator. If the ze...
Wires W<sub>1</sub> and W<sub>2</sub> are made of same material having the break...
A bullet of 10 g, moving with velocity v, collides head-on with the stationary b...
An ac circuit has an inductor and a resistor resistance R in series, such that X...
The ratio of the equivalent resistance of the network (shown in figure) between ...
A plane electromagnetic wave with frequency of 30 MHz travels in free space. At ...
A tuning fork is vibrating at 250 Hz. The length of the shortest closed organ pi...

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