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

Exam Held on Thu Feb 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

The correct sequence of reagents used in the preparation of 4-bromo-2-nitroethyl...
What is 'X' in the given reaction?<br><br><img src="https://imagex.cdn.examgoal....
Water does not produce CO on reacting with :
The solubility of Ca(OH)<sub>2</sub> in water is :<br><br>[Given : The solubilit...
Given below are two statements :<br><br>Statement I : The pH of rain water is no...
Given below are two statements :<br><br>Statement I : $$\alpha$$ and $$\beta$$ f...
Which among the following species has unequal bond lengths?
In which of the following order the given complex ions are arranged correctly wi...
The major components of German Silver are :
The correct order of acid character of the following compounds is :<br><br><img ...
The major product of the following reaction is :<br><br><img src="https://imagex...
The method used for the purification of Indium is :
<img src="https://imagex.cdn.examgoal.net/1klter68w/6510177c-87a0-4f76-b5d4-d170...
Given below are two statements :<br><br>Statement I : The identification of Ni<s...
Which one of the following statements is FALSE for hydrophilic sols?
Carbylamine test is used to detect the presence of primary amino group in an org...
Which of the following is correct structure of $$\alpha$$-anomer of maltose?
Which of the following compound is added to the sodium extract before addition o...
The major product of the following reaction is :<br><br> <img src="https://image...
The correct order of bond dissociation enthalpy of halogens is :
The unit cell of copper corresponds to a face centered cube of edge length 3.596...
Copper reduces NO$$_3^ -$$ into NO and NO<sub>2</sub> depending upon the concen...
The spin only magnetic moment of a divalent ion in aqueous solution (atomic numb...
If a compound AB dissociates to the extent of 75% in an aqueous solution, the mo...
Electromagnetic radiation of wavelength 663 nm is just sufficient to ionise the ...
Consider titration of NaOH solution versus 1.25 M oxalic acid solution. At the e...
Five moles of an ideal gas at 293 K is expanded isothermally from an initial pre...
The number of compound/s given below which contain/s -COOH group is __________. ...
The rate constant of a reaction increases by five times on increase in temperatu...
Among the following, number of metal/s which can be used as electrodes in the ph...

## Mathematics

The contrapositive of the statement "If you will work, you will earn money" is :...
The shortest distance between the line x $$-$$ y = 1 and the curve x<sup>2</sup>...
A plane passes through the points A(1, 2, 3), B(2, 3, 1) and C(2, 4, 2). If O is...
A function f(x) is given by $$f(x) = {{{5^x}} \over {{5^x} + 5}}$$, then the sum...
Let x denote the total number of one-one functions from a set A with 3 elements ...
The integral $$\int {{{{e^{3{{\log }_e}2x}} + 5{e^{2{{\log }_e}2x}}} \over {{e^{... Let A be a set of all 4-digit natural numbers whose exactly one digit is 7. Then... Let$$\alpha$$and$$\beta$$be the roots of x<sup>2</sup>$$-$$6x$$-$$2 = 0.... If 0 &lt; x, y &lt;$$\pi$$and cosx + cosy$$-$$cos(x + y) =$${3 \over 2}$$, ... cosec$$\left[ {2{{\cot }^{ - 1}}(5) + {{\cos }^{ - 1}}\left( {{4 \over 5}} \righ...
Let A be a 3 $$\times$$ 3 matrix with det(A) = 4. Let R<sub>i</sub> denote the i...
If $$\alpha$$, $$\beta$$ $$\in$$ R are such that 1 $$-$$ 2i (here i<sup>2</sup> ...
The minimum value of $$f(x) = {a^{{a^x}}} + {a^{1 - {a^x}}}$$, where a, $$x \in ... If$${I_n} = \int\limits_{{\pi \over 4}}^{{\pi \over 2}} {{{\cot }^n}x\,dx} $$... In a group of 400 people, 160 are smokers and non-vegetarian; 100 are smokers an... If for the matrix,$$A = \left[ {\matrix{ 1 &amp; { - \alpha } \cr \alph...
If the curve x<sup>2</sup> + 2y<sup>2</sup> = 2 intersects the line x + y = 1 at...
The following system of linear equations<br><br>2x + 3y + 2z = 9<br><br>3x + 2y ...
A hyperbola passes through the foci of the ellipse $${{{x^2}} \over {25}} + {{{y...$$\mathop {\lim }\limits_{n \to \infty } \left[ {{1 \over n} + {n \over {{{(n + ...
A line is a common tangent to the circle (x $$-$$ 3)<sup>2</sup> + y<sup>2</sup>...
If the remainder when x is divided by 4 is 3, then the remainder when (2020 + x)...
The total number of two digit numbers 'n', such that 3<sup>n</sup> + 7<sup>n</su...
The value of $$\int\limits_{ - 2}^2 {|3{x^2} - 3x - 6|dx}$$ is ___________.
A line 'l' passing through origin is perpendicular to the lines<br><br>$${l_1}:\... A function f is defined on [$$-$$3, 3] as<br><br>$$f(x) = \left\{ {\matrix{ {...
Let $$\overrightarrow a = \widehat i + \alpha \widehat j + 3\widehat k$$ and $$... If the curves x = y<sup>4</sup> and xy = k cut at right angles, then (4k)<sup>6<... If$$\mathop {\lim }\limits_{x \to 0} {{ax - ({e^{4x}} - 1)} \over {ax({e^{4x}} ...
If the curve, y = y(x) represented by the solution of the differential equation ...

## Physics

If a message signal of frequency 'f<sub>m</sub>' is amplitude modulated with a c...
An LCR circuit contains resistance of 110$$\Omega$$ and a supply of 220 V at 300...
An electron with kinetic energy K<sub>1</sub> enters between parallel plates of ...
A sphere of radius 'a' and mass 'm' rolls along a horizontal plane with constant...
An electron of mass m<sub>e</sub> and a proton of mass m<sub>p</sub> = 1836 m<su...
Consider the diffraction pattern obtained from the sunlight incident on a pinhol...
In a ferromagnetic material, below the curie temperature, a domain is defined as...
Given below are two statements :<br><br>Statement I : In a diatomic molecule, th...
Match List I with List II.<br><br><table> <thead> <tr> <th></th> <th>L...
A charge 'q' is placed at one corner of a cube as shown in figure. The flux of e...
Thermodynamic process is shown below on a P-V diagram for one mole of an ideal g...
The wavelength of the photon emitted by a hydrogen atom when an electron makes a...
Y = A sin($$\omega$$t + $$\phi$$<sub>0</sub>) is the time-displacement equation ...
Two identical springs of spring constant '2k' are attached to a block of mass m ...
The point A moves with a uniform speed along the circumference of a circle of ra...
If e is the electronic charge, c is the speed of light in free space and h is Pl...
For extrinsic semiconductors; when doping level is increased;
The truth table for the following logic circuit is :<br><br><img src="https://im...
A stone is dropped from the top of a building. When it crosses a point 5 m below...
The stopping potential for electrons emitted from a photosensitive surface illum...
A reversible heat engine converts one-fourth of the heat input into work. When t...
If $$\overrightarrow P \times \overrightarrow Q = \overrightarrow Q \times \o... The percentage increase in the speed of transverse waves produced in a stretched... The initial velocity v<sub>i</sub> required to project a body vertically upward ... The peak electric field produced by the radiation coming from the 8W bulb at a d... Two identical conducting spheres with negligible volume have 2.1 nC and$$-$$0.1... The wavelength of an X-ray beam is 10$$\mathop A\limits^o . The mass of a fict...
Two small spheres each of mass 10 mg are suspended from a point by threads 0.5 m...
Two particles having masses 4 g and 16 g respectively are moving with equal kine...
A current of 6A enters one corner P of an equilateral triangle PQR having 3 wire...

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