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

Exam Held on Tue Jul 27 2021 03:30:00 GMT+0000 (Coordinated Universal Time)
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## Chemistry

Which one of the following compounds will give orange precipitate when treated w...
The product obtained from the electrolytic oxidation of acidified sulphate solut...
The parameters of the unit cell of a substance are a = 2.5, b = 3.0, c = 4.0, $$... The oxidation states of 'P' in H<sub>4</sub>P<sub>2</sub>O<sub>7</sub>, H<sub>4<... For a reaction of order n, the unit of the rate constant is : Given below are two statements : <br><br>Statement I : Aniline is less basic tha... The type of hybridisation and magnetic property of the complex [MnCl<sub>6</sub>... The number of geometrical isomers found in the metal <br>complexes [PtCl<sub>2</... Which one of the following statements is NOT correct? Given below are two statements :<br><br>Statement I : Rutherford's gold foil exp... Presence of which reagent will affect the reversibility of the following reactio... Which one among the following chemical tests is used to distinguish monosacchari... Match List - I with List - II :<br><br><table> <thead> <tr> <th></th> ... The statement is incorrect about Ellingham diagram is <picture><source media="(max-width: 320px)" srcset="https://imagex.cdn.examgoal.... <img src="https://imagex.cdn.examgoal.net/1ks19v2eq/4ace3bab-ea88-4ee0-8068-6125... Staggered and eclipsed conformers of ethane are : Match List - I with List - II :<br><br><table> <thead> <tr> <th></th> ... <img src="https://imagex.cdn.examgoal.net/1ks19msf8/761254fb-4d67-46d4-a653-6fac... Given below are two statements : One is labelled as Assertion A and the other la... The density of NaOH solution is 1.2 g cm<sup>$$-$$3</sup>. The molality of this ... CO<sub>2</sub> gas adsorbs on charcoal following Freundlich adsorption isotherm.... The conductivity of a weak acid HA of concentration 0.001 mol L<sup>$$-$$1</sup>... 1.46 g of a biopolymer dissolved in a 100 mL water at 300 K exerted an osmotic p... An organic compound is subjected to chlorination to get compound A using 5.0 g o... The number of geometrical isomers possible in triamminetrinitrocobalt (III) is X... In gaseous triethyl amine the "$$-$$C$$-$$N$$-$$C$$-$$" bond angle is _________ ... For water at 100$$^\circ$$C and 1 bar,<br><br>$$\Delta$$<sub>vap</sub> H$$-$$... PCl<sub>5</sub>$$\rightleftharpoons$$PCl<sub>3</sub> + Cl<sub>3</sub><br><br>K... The difference between bond orders of CO and NO$$^ \oplus $$is$${x \over 2}$$... ## Mathematics If the mean and variance of the following data : 6, 10, 7, 13, a, 12, b, 12 are ... The value of$$\mathop {\lim }\limits_{n \to \infty } {1 \over n}\sum\limits_{j ...
Let $$\overrightarrow a = \widehat i + \widehat j + 2\widehat k$$ and $$\overri... The value of the definite integral<br><br>$$\int\limits_{ - {\pi \over 4}}^{{\p...
Let C be the set of all complex numbers. Let<br><br>$${S_1} = \{ z \in C||z - 3 ... If the area of the bounded region <br>$$R = \left\{ {(x,y):\max \{ 0,{{\log }_e}...
A ray of light through (2, 1) is reflected at a point P on the y-axis and then p...
If the coefficients of x<sup>7</sup> in $${\left( {{x^2} + {1 \over {bx}}} \righ... The compound statement$$(P \vee Q) \wedge ( \sim P) \Rightarrow Q$$is equivale... If$$\sin \theta + \cos \theta = {1 \over 2}$$, then 16(sin(2$$\theta$$) + cos... Let$$A = \left[ {\matrix{ 1 &amp; 2 \cr { - 1} &amp; 4 \cr } } \rig...
Let $$f:\left( { - {\pi \over 4},{\pi \over 4}} \right) \to R$$ be defined as ...
Let y = y(x) be solution of the differential equation <br><br>$${\log _{}}\left(... Let the plane passing through the point ($$-$$1, 0,$$-$$2) and perpendicular to... Two tangents are drawn from the point P($$-$$1, 1) to the circle x<sup>2</sup> +... Let f : R$$\to$$R be a function such that f(2) = 4 and f'(2) = 1. Then, the va... Let P and Q be two distinct points on a circle which has center at C(2, 3) and w... Let$$\alpha$$,$$\beta$$be two roots of the <br><br>equation x<sup>2</sup> + (... The probability that a randomly selected 2-digit number belongs to the set {n$$...
Let $$A = \{ (x,y) \in R \times R|2{x^2} + 2{y^2} - 2x - 2y = 1\}$$, $$B = \{ (... For real numbers$$\alpha$$and$$\beta$$, consider the following system of line... Let$$\overrightarrow a = \widehat i + \widehat j + \widehat k,\overrightarrow ...
If $${\log _3}2,{\log _3}({2^x} - 5),{\log _3}\left( {{2^x} - {7 \over 2}} \righ... Let the domain of the function<br><br>$$f(x) = {\log _4}\left( {{{\log }_5}\left...
Let $$f(x) = \left| {\matrix{ {{{\sin }^2}x} &amp; { - 2 + {{\cos }^2}x} &amp... Let$$F:[3,5] \to R$$be a twice differentiable function on (3, 5) such that$$F...
Let a plane P pass through the point (3, 7, $$-$$7) and contain the line, $${{x ... Let S = {1, 2, 3, 4, 5, 6, 7}. Then the number of possible functions f : S$$\to...
If $$y = y(x),y \in \left[ {0,{\pi \over 2}} \right)$$ is the solution of the d...
Let $$f:[0,3] \to R$$ be defined by $$f(x) = \min \{ x - [x],1 + [x] - x\}$$ wh...

## Physics

In the given figure, a battery of emf E is connected across a conductor PQ of le...
The number of molecules in one litre of an ideal gas at 300 K and 2 atmospheric ...
The relative permittivity of distilled water is 81. The velocity of light in it ...
<table class="tg"> <thead> <tr> <th class="tg-amwm">List-I</th> <th cl...
Three objects A, B and C are kept in a straight line on a frictionless horizonta...
In the reported figure, a capacitor is formed by placing a compound dielectric b...
The figure shows two solid discs with radius R and r respectively. If mass per u...
In Young's double slit experiment, if the source of light changes from orange to...
In the reported figure, there is a cyclic process ABCDA on a sample of 1 mol of ...
<b>Assertion A</b> : If A, B, C, D are four points on a semi-circular are with c...
A light cylindrical vessel is kept on a horizontal surface. Area of base is A. A...
A particle starts executing simple harmonic motion (SHM) of amplitude 'a' and to...
If 'f' denotes the ratio of the number of nuclei decayed (N<sub>d</sub>) to the ...
Two capacitors of capacities 2C and C are joined in parallel and charged up to p...
A ball is thrown up with a certain velocity so that it reaches a height 'h'. Fin...
A 0.07 H inductor and a 12$$\Omega$$ resistor are connected in series to a 220V,...
Two identical tennis balls each having mass 'm' and charge 'q' are suspended fro...
Assertion A : If in five complete rotations of the circular scale, the distance ...
A body takes 4 min. to cool from 61$$^\circ$$ C to 59$$^\circ$$ C. If the temper...
Consider an electrical circuit containing a two way switch 'S'. Initially S is o...
Suppose two planets (spherical in shape) in radii R and 2R, but mass M and 9M re...
In Bohr's atomic model, the electron is assumed to revolve in a circular orbit o...
A radioactive sample has an average life of 30 ms and is decaying. A capacitor o...
A particle of mass 9.1 $$\times$$ 10<sup>$$-$$31</sup> kg travels in a medium wi...
A prism of refractive index n<sub>1</sub> and another prism of refractive index ...
A stone of mass 20 g is projected from a rubber catapult of length 0.1 m and are...
A transistor is connected in common emitter circuit configuration, the collector...
The amplitude of upper and lower side bands of A.M. wave where a carrier signal ...
In a uniform magnetic field, the magnetic needle has a magnetic moment 9.85 \t...

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