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## JEE Main 2021 (Online) 25th July Evening Shift

Exam Held on Sun Jul 25 2021 09:30:00 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

In the following the correct bond order sequence is :
Match List I with List II :<br><br><style type="text/css"> .tg {border-collapse...
Which one of the following metal complexes is most stable?
Match List I with List II : (Both having metallurgical terms)<br><br><style type...
The ionic radii of F<sup>$$-$$</sup> and O<sup>2$$-$$</sup> respectively are 1.3...
The correct decreasing order of densities of the following compounds is :<br><br...
<img src="https://imagex.cdn.examgoal.net/1krz05p23/641a1b73-3169-4e42-9711-61dd...
A reaction of benzonitrile with one equivalent CH<sub>3</sub>MgBr followed by hy...
The spin only magnetic moments (in BM) for free Ti<sup>3+</sup>, V<sup>2+</sup> ...
Which one of the following is correct structure for cytosine?
Identify the species having one $$\pi$$-bond and maximum number of canonical for...
Which one of the following metals forms interstitial hydride easily?
<img src="https://imagex.cdn.examgoal.net/1krz0l5xe/f569544e-6f11-40f4-a901-7702...
Given below are two statements :<br><br>Statement I : Chlorofluoro breakdown by ...
<picture><source media="(max-width: 320px)" srcset="https://imagex.cdn.examgoal....
Match List I with List II :<br><br><table style="width: 100%"> <thead> <tr> ...
What is the major product "P" of the following reaction?<br><br><img src="https:...
Identify the process in which change in the oxidation state is five :
Which among the following is the strongest acid ?
A system does 200 J of work and at the same time absorbs 150 J of heat. The magn...
An accelerated electron has a speed of 5 $$\times$$ 10<sup>6</sup> ms<sup>$$-$$1...
Number of electrons present in 4f orbital of Ho<sup>3+</sup> ion is ____________...
<img src="https://imagex.cdn.examgoal.net/1krz0rkwz/61c0e2f7-28fe-4a0c-845a-5142...
For a chemical reaction A $$\to$$ B, it was found that concentration of B is inc...
The number of significant figures in 0.00340 is ____________.
Assuming that Ba(OH)<sub>2</sub> is completely ionised in aqueous solution under...
0.8 g of an organic compound was analyzed by Kjeldahl's method for the estimatio...
When 3.00 g of a substance 'X' is dissolved in 100 g of CCl<sub>4</sub>, it rais...
An LPG cylinder contains gas at a pressure of 300 kPa at 27$$^\circ$$. The cylin...

## Mathematics

The sum of all those terms which are rational numbers in the <br><br>expansion o...
The first of the two samples in a group has 100 items with mean 15 and standard ...
If $$f(x) = \left\{ {\matrix{ {\int\limits_0^x {\left( {5 + \left| {1 - t} \r... If the greatest value of the term independent of 'x' in the <br><br>expansion of... Consider the statement "The match will be played only if the weather is good and... The value of$$\cot {\pi \over {24}}$$is : The lowest integer which is greater <br><br>than$${\left( {1 + {1 \over {{{10}^...
The value of the <br><br>integral $$\int\limits_{ - 1}^1 {\log \left( {x + \sqrt... Let a, b and c be distinct positive numbers. If the vectors$$a\widehat i + a\wi...
If [x] be the greatest integer less than or equal to x, <br><br>then $$\sum\limi... The number of distinct real roots <br><br>of$$\left| {\matrix{ {\sin x} &amp...
If $$\left| {\overrightarrow a } \right| = 2,\left| {\overrightarrow b } \right|... The number of real solutions of the equation, x<sup>2</sup>$$-$$|x|$$-$$12 =... Consider function f : A$$\to$$B and g : B$$\to$$C (A, B, C$$ \subseteq $$R... If$$P = \left[ {\matrix{ 1 &amp; 0 \cr {{1 \over 2}} &amp; 1 \cr } ...
Let X be a random variable such that the probability function of a distribution ...
If a tangent to the ellipse x<sup>2</sup> + 4y<sup>2</sup> = 4 meets the tangent...
Let the equation of the pair of lines, y = px and y = qx, can be written as (y $... If $${}^n{P_r} = {}^n{P_{r + 1}}$$ and $${}^n{C_r} = {}^n{C_{r - 1}}$$, then the... Let y = y(x) be the solution of the differential <br>equation xdy = (y + x<sup>3... Let n$$\in$$N and [x] denote the greatest integer less than or equal to x. If th... Consider the function<br><br/><picture> <source media="(max-width: 230px)" srcse... The equation of a circle is Re(z<sup>2</sup>) + 2(Im(z))<sup>2</sup> + 2Re(z) = ... If a rectangle is inscribed in an equilateral triangle of side length $$2\sqrt 2... If$$\left( {\overrightarrow a + 3\overrightarrow b } \right)$$is perpendicula... Let a curve y = f(x) pass through the point (2, (log<sub>e</sub>2)<sup>2</sup>) ... If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a<sup>4</sup> ... A fair coin is tossed n-times such that the probability of getting at least one ... If the co-efficient of x<sup>7</sup> and x<sup>8</sup> in the expansion of$${\l... If the lines $${{x - k} \over 1} = {{y - 2} \over 2} = {{z - 3} \over 3}$$ and <... ## Physics The relation between time t and distance x for a moving body is given as t = mx<... In a simple harmonic oscillation, what fraction of total mechanical energy is in... A force $$\overrightarrow F = (40\widehat i + 10\widehat j)N$$ acts on a body o... A prism of refractive index $$\mu$$ and angle of prism A is placed in the positi... A heat engine has an efficiency of $${1 \over 6}$$. When the temperature of sink... In the given potentiometer circuit arrangement, the balancing length AC is measu... Two ions having same mass have charges in the ratio 1 : 2. They are projected no... A 10 $$\Omega$$ resistance is connected across 220V $$-$$ 50 Hz AC supply. The t... A balloon was moving upwards with a uniform velocity of 10 m/s. An object of fin... If q<sub>f</sub> is the free charge on the capacitor plates and q<sub>b</sub> is... Consider a planet in some solar system which has a mass double the mass of earth... Two ideal electric dipoles A and B, having their dipole moment p<sub>1</sub> and... Two spherical soap bubbles of radii r<sub>1</sub> and r<sub>2</sub> in vacuum co... The force is given in terms of time t and displacement x by the equation <br><br... The given potentiometer has its wire of resistance 10$$\Omega$$. When the slidin... An electron moving with speed v and a photon moving with speed c, have same D-Br... The instantaneous velocity of a particle moving in a straight line is given as$...
A ray of light entering from air into a denser medium of refractive index $${4 \... When radiation of wavelength$$\lambda$$is incident on a metallic surface, the ... Two vectors$$\overrightarrow X $$and$$\overrightarrow Y $$have equal magnitu... A system consists of two types of gas molecules A and B having same number densi... A light beam of wavelength 500 nm is incident on a metal having work function of... A message signal of frequency 20 kHz and peak voltage of 20 volt is used to mod... A 16$$\Omega$$wire is bend to form a square loop. A 9V supply having internal ... Two circuits are shown in the figure (a) &amp; (b). At a frequency of __________... From the given data, the amount of energy required to break the nucleus of alumi... A force of F = (5y + 20)$$\widehat j$$N acts on a particle. The work done by th... A solid disc of radius 20 cm and mass 10 kg is rotating with an angular velocity... In a semiconductor, the number density of intrinsic charge carries at 27$$^\circ...
The nuclear activity of a radioactive element becomes {\left( {{1 \over 8}} \r...

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