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JEE Main 2021 (Online) 16th March Evening Shift

Exam Held on Tue Mar 16 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

Match List - I with List - II :<br><br><table> <thead> <tr> <th></th> ...
<img src="https://imagex.cdn.examgoal.net/1kmiygy1s/745da53c-c935-4e8e-880e-06e1...
The INCORRECT statement regarding the structure of C<sub>60</sub> is :
An unsaturated hydrocarbon X on ozonolysis gives A. Compound A when warmed with ...
The green house gas/es is (are) :<br><br>(A) Carbon dioxide<br><br>(B) Oxygen<br...
The exact volumes of 1 M NaOH solution required to neutralise 50 mL of 1 M H<sub...
The characteristics of elements X, Y and Z with atomic numbers, respectively, 33...
Which of the following is least basic?
The correct statements about H<sub>2</sub>O<sub>2</sub> are :<br><br>(A) used in...
Ammonolysis of Alkyl halides followed by the treatment with NaOH solution can be...
The secondary structure of protein is stabilised by:
Which of the following polymer is used in the manufacture of wood laminates?
Fex<sub>2</sub> and Fey<sub>3</sub> are known when x and y are :
Identify the elements X and Y using the ionisation energy values given below :<b...
<img src="https://imagex.cdn.examgoal.net/1kmiynuv9/a5c1966a-0b3b-4cb7-a99c-c7dd...
The INCORRECT statements below regarding colloidal solutions is :
Arrange the following metal complex/compounds in the increasing order of spin on...
<img src="https://imagex.cdn.examgoal.net/1kmiypc0p/843d7959-4286-41af-9083-0cd8...
Statement I : Sodium hydride can be used as an oxidising agent.<br><br>Statement...
Which of the following reduction reaction CANNOT be carried out with coke?
[Ti(H<sub>2</sub>O)<sub>6</sub>]<sup>3+</sup> absorbs light of wavelength 498 nm...
A 5.0 m mol dm<sup>$$-$$3</sup> aqueous solution of KCl has a conductance of 0.5...
At 25$$^\circ$$C, 50 g of iron reacts with HCl to form FeCl<sub>2</sub>. The evo...
The number of orbitals with n = 5, m<sub>1</sub> = +2 is ___________. (Round off...
A and B decompose via first order kinetics with half-lives 54.0 min and 18.0 min...
In Duma's method of estimation of nitrogen, 0.1840 g of an organic compound gave...
Ga (atomic mass 70 u) crystallizes in a hexagonal close packed structure. The to...
When 35 mL of 0.15 M lead nitrate solution is mixed with 20 mL of 0.12 M chromic...
Sulphurous acid (H<sub>2</sub>SO<sub>3</sub>) has Ka<sub>1</sub> = 1.7 $$\times$...
At 363 K, the vapour pressure of A is 21 kPa and that of B is 18 kPa. One mole o...

Mathematics

If y = y(x) is the solution of the differential equation <br><br>$${{dy} \over {...
Let f be a real valued function, defined on R $$-$$ {$$-$$1, 1} and given by <br...
Let $$\overrightarrow a $$ = $$\widehat i$$ + 2$$\widehat j$$ $$-$$ 3$$\widehat ...
If the foot of the perpendicular from point (4, 3, 8) on the line $${L_1}:{{x - ...
If the points of intersections of the ellipse $${{{x^2}} \over {16}} + {{{y^2}} ...
Consider a rectangle ABCD having 5, 7, 6, 9 points in the interior of the line s...
Let f : S $$ \to $$ S where S = (0, $$\infty $$) be a twice differentiable funct...
Consider the integral <br>$$I = \int_0^{10} {{{[x]{e^{[x]}}} \over {{e^{x - 1}}}...
Let C<sub>1</sub> be the curve obtained by the solution of differential equation...
Let P(x) = x<sup>2</sup> + bx + c be a quadratic polynomial with real coefficien...
Let A = {2, 3, 4, 5, ....., 30} and '$$ \simeq $$' be an equivalence relation on...
If (x, y, z) be an arbitrary point lying on a plane P which passes through the p...
The least value of |z| where z is complex number which satisfies the inequality ...
Let $$\alpha$$ $$\in$$ R be such that the function $$f(x) = \left\{ {\matrix{ ...
Let C be the locus of the mirror image of a point on the parabola y<sup>2</sup> ...
Given that the inverse trigonometric functions take principal values only. Then,...
Let the lengths of intercepts on x-axis and y-axis made by the circle <br>x<sup>...
Let A($$-$$1, 1), B(3, 4) and C(2, 0) be given three points. <br>A line y = mx, ...
Let A denote the event that a 6-digit integer formed by 0, 1, 2, 3, 4, 5, 6 with...
The maximum value of <br><br>$$f(x) = \left| {\matrix{ {{{\sin }^2}x} &amp; {...
S<sub>n</sub>(x) = log<sub>a<sup>1/2</sup></sub>x + log<sub>a<sup>1/3</sup></sub...
If the distance of the point (1, $$-$$2, 3) from the plane x + 2y $$-$$ 3z + 10 ...
Let $${1 \over {16}}$$, a and b be in G.P. and $${1 \over a}$$, $${1 \over b}$$,...
Let $$\overrightarrow c $$ be a vector perpendicular to the vectors, $$\overrigh...
For real numbers $$\alpha$$, $$\beta$$, $$\gamma$$ and $$\delta $$, if <br>$$\in...
In $$\Delta$$ABC, the lengths of sides AC and AB are 12 cm and 5 cm, respectivel...
Let f : R $$ \to $$ R and g : R $$ \to $$ R be defined as <br><br>$$f(x) = \left...
Consider the statistics of two sets of observations as follows :<br><br><table> ...
Let n be a positive integer. Let <br><br>$$A = \sum\limits_{k = 0}^n {{{( - 1)}^...
Let $$A = \left[ {\matrix{ {{a_1}} \cr {{a_2}} \cr } } \right]$$ and...

Physics

What will be the nature of flow of water from a circular tap, when its flow rate...
The refractive index of a converging lens is 1.4. What will be the focal length ...
The following logic gate is equivalent to :<br><br><img src="https://imagex.cdn....
Statement I : A cyclist is moving on an unbanked road with a speed of 7 kmh<sup>...
Two identical antennas mounted on identical towers are separated from each other...
A large block of wood of mass M = 5.99 kg is hanging from two long massless cord...
Calculate the time interval between 33% decay and 67% decay if half-life of a su...
A mosquito is moving with a velocity $$\overrightarrow v = 0.5{t^2}\widehat i +...
Red light differs from blue light as they have :
The de-Broglie wavelength associated with an electron and a proton were calculat...
The half-life of Au<sup>198</sup> is 2.7 days. The activity of 1.50 mg of Au<sup...
Calculate the value of mean free path ($$\lambda$$) for oxygen molecules at temp...
A charge Q is moving $$\overrightarrow {dl} $$ distance in the magnetic field $$...
In order to determine the Young's Modulus of a wire of radius 0.2 cm (measured u...
A resistor develops 500 J of thermal energy in 20 s when a current of 1.5A is pa...
Find out the surface charge density at the intersection of point x = 3 m plane a...
The magnetic field in a region is given by $$\overrightarrow B = {B_o}\left( {{...
A bimetallic strip consists of metals A and B. It is mounted rigidly as shown. T...
Amplitude of a mass-spring system, which is executing simple harmonic motion dec...
For the given circuit, comment on the type of transformer used.<br><br><img src=...
A solid disc of radius 'a' and mass 'm' rolls down without slipping on an inclin...
The energy dissipated by a resistor is 10 mJ in 1 s when an electric current of ...
For an ideal heat engine, the temperature of the source is 127$$^\circ$$C. In or...
In a parallel plate capacitor set up, the plate area of capacitor is 2 m<sup>2</...
If one wants to remove all the mass of the earth to infinity in order to break i...
A body of mass 2 kg moves under a force of $$\left( {2\widehat i + 3\widehat j +...
A closed organ pipe of length L and an open organ pipe contain gases of densitie...
A swimmer can swim with velocity of 12 km/h in still water. Water flowing in a r...
A deviation of 2$$^\circ$$ is produced in the yellow ray when prism of crown and...
A force $$\overrightarrow F $$ = $${4\widehat i + 3t\widehat j + 4\widehat k}$$ ...

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