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## JEE Main 2021 (Online) 26th August Evening Shift

Exam Held on Thu Aug 26 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 phenols does not give colour when condensed with phth...
Given below are two statements : one is labelled as Assertion (A) and the other ...
The interaction energy of London forces between two particles is proportional to...
The number of non-ionisable hydrogen atoms present in the final product obtained...
The bond order and magnetic behaviour of $$O_2^ -$$ ion are respectively :
Given below are two statements : one is labelled as Assertion (A) and other is l...
Match List - I with List - II :<br><br><picture><source media="(max-width: 320px...
Given below are two statements : one is labelled as Assertion (A) and the other ...
<img src="https://imagex.cdn.examgoal.net/1ktenwl0s/0f6b6d3e-5781-485a-915a-3e1d...
Indicate the complex/complex ion which did not show any geometrical isomerism :
The sol given below with negatively charged colloidal particles is :
Given below are two statements :<br><br>Statement I : Sphalerite is a sulphide o...
Given below are two statements : one is labelled as Assertion (A) and the other ...
Arrange the following Cobalt complexes in the order of increasing Crystal Field ...
<img src="https://imagex.cdn.examgoal.net/1kteo5oq1/7f70b7d8-02f3-4ffb-b6ae-ba39...
Chalcogen group elements are :
Which one of the following compounds is not aromatic?
The number of stereoisomers possible for 1, 2-dimethyl cyclopropane is :
<picture><source media="(max-width: 320px)" srcset="https://imagex.cdn.examgoal....
<picture><source media="(max-width: 320px)" srcset="https://imagex.cdn.examgoal....
In the sulphur estimation, 0.471 g of an organic compound gave 1.44 g of barium ...
The equilibrium constant K<sub>c</sub> at 298 K for the reaction A + B $$\rightl... For water$$\Delta$$<sub>vap</sub> H = 41 kJ mol<sup>$$-$$1</sup> at 373 K and 1... A metal surface is exposed to 500 nm radiation. The threshold frequency of the m... For the galvanic cell,<br><br>Zn(s) + Cu<sup>2+</sup> (0.02 M)$$\to$$Zn<sup>2+... 100 mL of Na<sub>3</sub>PO<sub>4</sub> solution contains 3.45 g of sodium. The m... The overall stability constant of the complex ion [Cu(NH<sub>3</sub>)<sub>4</sub... 83 g of ethylene glycol dissolved in 625 g of water. The freezing point of the s... The reaction rate for the reaction<br><br>[PtCl<sub>4</sub>]<sup>2$$-$$</sup> + ... A chloro compound "A".<br><br>(i) forms aldehydes on ozonolysis followed by the ... ## Mathematics Let [t] denote the greatest integer less than or equal to t. Let <br>f(x) = x$$...
Let $$A = \left( {\matrix{ 1 &amp; 0 &amp; 0 \cr 0 &amp; 1 &amp; 1 \cr ... The local maximum value of the function$$f(x) = {\left( {{2 \over x}} \right)^{...
If the value of the integral <br>$$\int\limits_0^5 {{{x + [x]} \over {{e^{x - [x... The point$$P\left( { - 2\sqrt 6 ,\sqrt 3 } \right)$$lies on the hyperbola$${{...
Let y(x) be the solution of the differential equation 2x<sup>2</sup> dy + (e<sup...
Consider the two statements :<br><br>(S1) : (p $$\to$$ q) $$\vee$$ ($$\sim$$...
The domain of the function $${{\mathop{\rm cosec}\nolimits} ^{ - 1}}\left( {{{1 ... A fair die is tossed until six is obtained on it. Let x be the number of require... If$$\sum\limits_{r = 1}^{50} {{{\tan }^{ - 1}}{1 \over {2{r^2}}} = p} $$, then ... Two fair dice are thrown. The numbers on them are taken as$$\lambda$$and$$\mu...
The locus of the mid points of the chords of the hyperbola x<sup>2</sup> $$-$$ y...
The value of <br><br>$$2\sin \left( {{\pi \over 8}} \right)\sin \left( {{{2\pi ... If$${\left( {\sqrt 3 + i} \right)^{100}} = {2^{99}}(p + iq)$$, then p and q ar... A hall has a square floor of dimension 10 m$$\times$$10 m (see the figure) and... Let P be the plane passing through the point (1, 2, 3) and the line of intersect... A 10 inches long pencil AB with mid point C and a small eraser P are placed on t... The value of$$\int\limits_{ - {\pi \over 2}}^{{\pi \over 2}} {\left( {{{1 + {...
A circle C touches the line x = 2y at the point (2, 1) and intersects the circle...
$$\mathop {\lim }\limits_{x \to 2} \left( {\sum\limits_{n = 1}^9 {{x \over {n(n ... The sum of all 3-digit numbers less than or equal to 500, that are formed withou... Let a and b respectively be the points of local maximum and local minimum of the... If the projection of the vector$$\widehat i + 2\widehat j + \widehat k$$on the... Let a<sub>1</sub>, a<sub>2</sub>, ......., a<sub>10</sub> be an AP with common d... Let Q be the foot of the perpendicular from the point P(7,$$-$$2, 13) on the pl... Let$$\left( {\matrix{ n \cr k \cr } } \right)$$denotes$${}^n{C_k}...
Let $$\lambda$$ $$\ne$$ 0 be in R. If $$\alpha$$ and $$\beta$$ are the roots of ...
Let the mean and variance of four numbers 3, 7, x and y(x &gt; y) be 5 and 10 re...
Let A be a 3 $$\times$$ 3 real matrix. If det(2Adj(2 Adj(Adj(2A)))) = 2<sup>41</...
The least positive integer n such that $${{{{(2i)}^n}} \over {{{(1 - i)}^{n - 2}... ## Physics The temperature of equal masses of three different liquids x, y and z are 10$$^\...
The de-Broglie wavelength of a particle having kinetic energy E is $$\lambda$$. ...
A particle of mass m is suspended from a ceiling through a string of length L. T...
A cylindrical container of volume 4.0 $$\times$$ 10<sup>$$-$$3</sup> m<sup>3</su...
The angle between vector $$\left( {\overrightarrow A } \right)$$ and $$\left( {\... A light beam is described by$$E = 800\sin \omega \left( {t - {x \over c}} \righ...
The two thin coaxial rings, each of radius 'a' and having charges +Q and $$-$$Q ...
If you are provided a set of resistances 2$$\Omega$$, 4$$\Omega$$, 6$$\Omega$$ a...
The solid cylinder of length 80 cm and mass M has a radius of 20 cm. Calculate t...
A parallel plate capacitor with plate area A has separation d between the plates...
A bomb is dropped by fighter plane flying horizontally. To an observer sitting i...
At time t = 0, a material is composed of two radioactive atoms A and B, where N<...
A transmitting antenna at top of a tower has a height of 50 m and the height of ...
A refrigerator consumes an average 35W power to operate between temperature $$-... An electric bulb of 500 watt at 100 volt is used in a circuit having a 200 V sup... Four NOR gates are connected as shown in figure. The truth table for the given f... Match List - I with List - II<br><br> <picture><source media="(max-width: 320px)... In the given circuit the AC source has$$\omega$$= 100 rad s<sup>-1</sup>. Cons... If the length of the pendulum in pendulum clock increases by 0.1%, then the erro... Two blocks of masses 3 kg and 5 kg are connected by a metal wire going over a sm... Two waves are simultaneously passing through a string and their equations are : ... A source of light is placed in front of a screen. Intensity of light on the scre... If the maximum value of accelerating potential provided by a ratio frequency osc... The acceleration due to gravity is found upto an accuracy of 4% on a planet. The... A circular coil of radius 8.0 cm and 20 turns is rotated about its vertical diam... Two simple harmonic motions are represented by the equations<br><br>$${x_1} = 5...
A coil in the shape of an equilateral triangle of side 10 cm lies in a vertical ...
For the given circuit, the power across Zener diode is .............. mW.<br><br...
An object is placed at a distance of 12 cm from a convex lens. A convex mirror o...
The coefficient of static friction between two blocks is 0.5 and the table is sm...

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