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## JEE Main 2021 (Online) 27th July Evening Shift

Exam Held on Tue Jul 27 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

Which one of the following set of elements can be detected using sodium fusion e...
<img src="https://imagex.cdn.examgoal.net/1ks4s80ij/b0e41e9c-965a-4357-a17f-dc51...
The number of neutrons and electrons, respectively, present in the radioactive i...
Match List - I with List - II :<br><br><style type="text/css"> .tg {border-coll...
Given below are two statement : one is labelled as Assertion A and the other is...
The correct order of first ionisation enthalpy is :
Given below are two statements :<br><br>Statement I : Hyperconjugation is a perm...
Given below are two statements :<br><br>Statement I : $${[Mn{(CN)_6}]^{3 - }}$$,...
To an aqueous solution containing ions such as Al<sup>3+</sup>, Zn<sup>2+</sup>,...
Given below are two statements :<br><br>Statement I : Penicillin is a bacteriost...
Compound A gives D-Galactose and D-Glucose on hydrolysis. The compound A is :
$$R - CN\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{(ii){H_2}O}^{(i)DIBAL... <picture><source media="(max-width: 320px)" srcset="https://imagex.cdn.examgoal.... Match List - I with List - II :<br><br><style type="text/css"> .tg {border-coll... If the Thompson model of the atom was correct, then the result of Rutherford's g... Number of Cl = O bonds in chlorous acid, chloric acid and perchloric acid respec... Select the correct statements<br><br>(A) Crystalline solids have long range orde... What is A in the following reaction?<br><br><picture><source media="(max-width: ... The correct sequence of correct reagents for the following transformation is :<b... The addition of silica during the extraction of copper from its sulphide ore :- The equilibrium constant for the reaction<br><br>A(s)$$\rightleftharpoons$$M(s... When 400 mL of 0.2 M H<sub>2</sub>SO<sub>4</sub> solution is mixed with 600 mL o... 2SO<sub>2</sub>(g) + O<sub>2</sub>(g)$$\to$$2SO<sub>3</sub>(g)<br><br>The abov... 10.0 mL of 0.05 M KMnO<sub>4</sub> solution was consumed in a titration with 10.... The total number of electrons in all bonding molecular orbitals of$$O_2^{2 - }\$...
3 moles of metal complex with formula Co(en)<sub>2</sub>Cl<sub>3</sub> gives 3 m...
In a solvent 50% of an acid HA dimerizes and the rest dissociates. The van't Hof...
The dihedral angle in staggered form of Newman projection of 1, 1, 1-Trichloro e...
For the first order reaction A $$\to$$ 2B, 1 mole of reactant A gives 0.2 moles ...
For the cell<br><br>Cu(s) | Cu<sup>2+</sup> (aq) (0.1 M) || Ag<sup>+</sup>(aq) (...

## Mathematics

The point P (a, b) undergoes the following three transformations successively :<...
A possible value of 'x', for which the ninth term in the expansion of $${\left\{... For real numbers$$\alpha$$and$$\beta\ne$$0, if the point of intersectio... Let f : R$$\to$$R be defined as$$f(x + y) + f(x - y) = 2f(x)f(y),f\left( {{1 ...
Let C be the set of all complex numbers. Let<br><br>S<sub>1</sub> = {z$$\in$$C :...
A student appeared in an examination consisting of 8 true-false type questions. ...
If $$\tan \left( {{\pi \over 9}} \right),x,\tan \left( {{{7\pi } \over {18}}} \... Let the mean and variance of the frequency distribution<br><br>$$\matrix{ {x:...
The area of the region bounded by y $$-$$ x = 2 and x<sup>2</sup> = y is equal t...
Let y = y(x) be the solution of the differential <br><br>equation (x $$-$$ x<sup...
The value of <br><br>$$\mathop {\lim }\limits_{x \to 0} \left( {{x \over {\root ... Two sides of a parallelogram are along the lines 4x + 5y = 0 and 7x + 2y = 0. If... Let$$\alpha = \mathop {\max }\limits_{x \in R} \{ {8^{2\sin 3x}}{.4^{4\cos 3x}...
Let $$f:[0,\infty ) \to [0,3]$$ be a function defined by <br><br>$$f(x) = \left\... Let N be the set of natural numbers and a relation R on N be defined by$$R = \{...
Which of the following is the negation of the statement "for all M &gt; 0, there...
Consider a circle C which touches the y-axis at (0, 6) and cuts off an intercept...
Let $$\overrightarrow a$$, $$\overrightarrow b$$ and $$\overrightarrow c$$ be...
Let A and B be two 3 $$\times$$ 3 real matrices such that (A<sup>2</sup> $$-$$ B...
Let f : (a, b) $$\to$$ R be twice differentiable function such that $$f(x) = \in... Let$$\overrightarrow a = \widehat i - \alpha \widehat j + \beta \widehat k$$, ... The distance of the point P(3, 4, 4) from the point of intersection of the line ... If the real part of the complex number$$z = {{3 + 2i\cos \theta } \over {1 - 3i...
Let E be an ellipse whose axes are parallel to the co-ordinates axes, having its...
If $$\int_0^\pi {({{\sin }^3}x){e^{ - {{\sin }^2}x}}dx = \alpha - {\beta \ove... The number of real roots of the equation e<sup>4x</sup>$$-$$e<sup>3x</sup>$$-...
Let y = y(x) be the solution of the differential equation dy = e<sup>$$\alpha$$x...
Let n be a non-negative integer. Then the number of divisors of the form "4n + 1...
Let A = {n $$\in$$ N | n<sup>2</sup> $$\le$$ n + 10,000}, B = {3k + 1 | k$$\in$$...
If $$A = \left[ {\matrix{ 1 &amp; 1 &amp; 1 \cr 0 &amp; 1 &amp; 1 \cr ... ## Physics An electron and proton are separated by a large distance. The electron starts ap... The expected graphical representation of the variation of angle of deviation '$$...
A raindrop with radius R = 0.2 mm falls from a cloud at a height h = 2000 m abov...
One mole of an ideal gas is taken through an adiabatic process where the tempera...
An object of mass 0.5 kg is executing simple harmonic motion. It amplitude is 5 ...
Match List I with List II.<br><br><table> <thead> <tr> <th></th> <th>L...
Given below is the plot of a potential energy function U(x) for a system, in whi...
A 100$$\Omega$$ resistance, a 0.1 $$\mu$$F capacitor and an inductor are connect...
A simple pendulum of mass 'm', length 'l' and charge '+ q' suspended in the elec...
Two Carnot engines A and B operate in series such that engine A absorbs heat at ...
Find the truth table for the function Y of A and B represented in the following ...
Figure A and B shown to long straight wires of circular cross-section (a and b w...
Two identical particles of mass 1 kg each go round a circle of radius R, under t...
Consider the following statements :<br><br>A. Atoms of each element emit charact...
What will be the magnitude of electric field at point O as shown in the figure? ...
A physical quantity 'y' is represented by the formula $$y = {m^2}{r^{ - 4}}{g^x}... An automobile of mass 'm' accelerates starting from origin and initially at rest... The planet Mars has two moons, if one of them has a period 7 hours, 30 minutes a... A particle of mass M originally at rest is subjected to a force whose direction ... The resistance of a conductor at 15$$^\circ$$C is 16$$\Omega$$and at 100$$^\cir...
In the given figure, two wheels P and Q are connected by a belt B. The radius of...
The difference in the number of waves when yellow light propagates through air a...
The maximum amplitude for an amplitude modulated wave is found to be 12V while t...
In the given figure the magnetic flux through the loop increases according to th...
A particle executes simple harmonic motion represented by displacement function ...
A swimmer wants to cross a river from point A to point B. Line AB makes an angle...
For the circuit shown, the value of current at time t = 3.2 s will be _________ ...
A small block slides down from the top of hemisphere of radius R = 3 m as shown ...
The K<sub>$$\alpha$$</sub> X-ray of molybdenum has wavelength 0.071 nm. If the e...
The water is filled upto height of 12 m in a tank having vertical sidewalls. A h...

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