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## JEE Main 2021 (Online) 20th July Evening Shift

Exam Held on Tue Jul 20 2021 09:30:00 GMT+0000 (Coordinated Universal Time)
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## Chemistry

Which one of the following pairs of isomers is an example of metamerism?
The major product (P) in the following reaction is :<br><br><picture><source med...
The single largest industrial application of dihydrogen is :
Consider two chemical reactions (A) and (B) that take place during metallurgical...
A solution is 0.1 M in Cl<sup>$$-$$</sup> and 0.001 M in CrO$$_4^{2 - }$$. Solid...
Outermost electronic configuration of a group 13 element, E, is 4s<sup>2</sup>, ...
Metallic sodium does not react normally with :
Spin only magnetic moment of an octahedral complex of Fe<sup>2+</sup> in the pre...
Which one of the following species doesn't have a magnetic moment of 1.73 BM, (s...
Which one of the following statements is not true about enzymes?
The hybridisations of the atomic orbitals of nitrogen in NO$$_2^ -$$, NO$$_2^ +... Bakelite is a cross-linked polymer of formaldehyde and : Benzene on nitration gives nitrobenzene in presence of HNO<sub>3</sub> and H<sub... <picture><source media="(max-width: 320px)" srcset="https://imagex.cdn.examgoal.... <picture><source media="(max-width: 320px)" srcset="https://imagex.cdn.examgoal.... Cu<sup>2+</sup> salt reacts with potassium iodide to give In Carius method, halogen containing organic compound is heated with fuming nitr... Which one of the following gases is reported to retard photosynthesis? <img src="https://imagex.cdn.examgoal.net/1krsakh7q/da682e42-5b41-483e-9bdc-9193... For a given chemical reaction A$$\to$$B at 300 K the free energy change is$$-...
The wavelength of electrons accelerated from rest through a potential difference...
The vapour pressures of A and B at 25$$^\circ$$C are 90 mm Hg and 15 mm Hg respe...
4g equimolar mixture of NaOH and Na<sub>2</sub>CO<sub>3</sub> contains x g of Na...
When 0.15 g of an organic compound was analyzed using Carius method for estimati...
100 ml of 0.0018% (w/v) solution of Cl<sup>$$-$$</sup> ion was the minimum conce...
$$PC{l_5}(g) \to PC{l_3}(g) + C{l_2}(g)$$<br><br>In the above first order reacti...
Diamond has a three dimensional structure of C atoms formed by covalent bonds. T...
An aqueous solution of NiCl<sub>2</sub> was heated with excess sodium cyanide in...
Potassium chlorate is prepared by electrolysis of KCl in basic solution as shown...

## Mathematics

For the natural numbers m, n, if $${(1 - y)^m}{(1 + y)^n} = 1 + {a_1}y + {a_2}{y... The value of$$\tan \left( {2{{\tan }^{ - 1}}\left( {{3 \over 5}} \right) + {{\s...
Let r<sub>1</sub> and r<sub>2</sub> be the radii of the largest and smallest cir...
Consider the following three statements :<br><br>(A) If 3 + 3 = 7 then 4 + 3 = 8...
The lines x = ay $$-$$ 1 = z $$-$$ 2 and x = 3y $$-$$ 2 = bz $$-$$ 2, (ab $$\ne... If [x] denotes the greatest integer less than or equal to x, then the value of t... If the real part of the complex number$${(1 - \cos \theta + 2i\sin \theta )^{ ...
Let $$f:R - \left\{ {{\alpha \over 6}} \right\} \to R$$ be defined by $$f(x) = ... If$$f:R \to R$$is given by$$f(x) = x + 1$$, then the value of$$\mathop {\lim...
Let A, B and C be three events such that the probability that exactly one of A a...
The sum of all the local minimum values of the twice differentiable function f :...
Let in a right angled triangle, the smallest angle be $$\theta$$. If a triangle ...
Let y = y(x) satisfies the equation $${{dy} \over {dx}} - |A| = 0$$, for all x &...
Consider the line L given by the equation $${{x - 3} \over 2} = {{y - 1} \over 1... If the mean and variance of six observations 7, 10, 11, 15, a, b are 10 and$${{...
Let $$g(t) = \int_{ - \pi /2}^{\pi /2} {\cos \left( {{\pi \over 4}t + f(x)} \ri... Let P be a variable point on the parabola$$y = 4{x^2} + 1$$. Then, the locus of... The value of k$$\in$$R, for which the following system of linear equations<br><... If sum of the first 21 terms of the series$${\log _{{9^{1/2}}}}x + {\log _{{9^{...
In a triangle ABC, if $$\left| {\overrightarrow {BC} } \right| = 3$$, $$\left| {... Let$$A = \{ {a_{ij}}\} $$be a 3$$\times$$3 matrix, <br><br>where$${a_{ij}} ...
The number of solutions of the equation <br><br>$${\log _{(x + 1)}}(2{x^2} + 7x ... Let a curve y = y(x) be given by the solution of the differential equation$$\co...
For p &gt; 0, a vector $${\overrightarrow v _2} = 2\widehat i + (p + 1)\widehat ... Consider a triangle having vertices A($$-$$2, 3), B(1, 9) and C(3, 8). If a line... If the point on the curve y<sup>2</sup> = 6x, nearest to the point$$\left( {3,{...
Let a function g : [ 0, 4 ] $$\to$$ R be defined as <br><br>$$g(x) = \left\{ {\m... For k$$\in$$N, let$${1 \over {\alpha (\alpha + 1)(\alpha + 2).........(\alp...
Let $$\left\{ {{a_n}} \right\}_{n = 1}^\infty$$ be a sequence such that a<sub>1...
If $$\mathop {\lim }\limits_{x \to 0} {{\alpha x{e^x} - \beta {{\log }_e}(1 + x)... ## Physics If the Kinetic energy of a moving body becomes four times its initial Kinetic en... A boy reaches the airport and finds that the escalator is not working. He walks ... A satellite is launched into a circular orbit of radius R around earth, while a ... With what speed should a galaxy move outward with respect to earth so that the s... The length of a metal wire is l<sub>1</sub>, when the tension in it is T<sub>1</... In an electromagnetic wave the electric field vector and magnetic field vector a... For a series LCR circuit with R = 100$$\Omega$$, L = 0.5 mH and C = 0.1 pF conn... Which of the following graphs represent the behavior of an ideal gas? Symbols ha... A particle is making simple harmonic motion along the X-axis. If at a distances ... An electron having de-Broglie wavelength$$\lambda$$is incident on a target in ... A body rolls down an inclined plane without slipping. The kinetic energy of rota... If time (t), velocity (v), and angular momentum (l) are taken as the fundamental... The correct relation between the degrees of freedom f and the ratio of specific ... For a certain radioactive process the graph between In R and t(sec) is obtained ... Consider a binary star system of star A and star B with masses m<sub>A</sub> and... At an angle of 30$$^\circ$$to the magnetic meridian, the apparent dip is 45$$^\...
A body at rest is moved along a horizontal straight line by a machine delivering...
Two vectors $${\overrightarrow P }$$ and $${\overrightarrow Q }$$ have equal mag...
Two small drops of mercury each of radius R coalesce to form a single large drop...
The magnetic susceptibility of a material of a rod is 499. Permeability in vacuu...
A zener diode having zener voltage 8 V and power dissipation rating of 0.5 W is ...
A body of mass 'm' is launched up on a rough inclined plane making an angle of 3...
In the given figure switches S<sub>1</sub> and S<sub>2</sub> are in open conditi...
Two bodies, a ring and a solid cylinder of same material are rolling down withou...
For the forward biased diode characteristics shown in the figure, the dynamic re...
A series LCR circuit of R = 5$$\Omega$$, L = 20 mH and C = 0.5 $$\mu$$F is conne...
One mole of an ideal gas at 27$$^\circ$$ is taken from A to B as shown in the gi...
A certain metallic surface is illuminated by monochromatic radiation of waveleng...
A body rotating with an angular speed of 600 rpm is uniformly accelerated to 180...
A radioactive substance decays to $${\left( {{1 \over {16}}} \right)^{th}}$$ of ...

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