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## JEE Main 2021 (Online) 18th March Evening Shift

Exam Held on Thu Mar 18 2021 09:30:00 GMT+0000 (Coordinated Universal Time)
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## Chemistry

Given below are two statements :<br><br><b>Statement I</b> : Non-biodegradable w...
Deficiency of vitamin K causes :
In the following molecule,<br><br><img src="https://imagex.cdn.examgoal.net/1kmn...
<img src="https://imagex.cdn.examgoal.net/1kmno0h51/d3ac5d9c-e83f-4288-acc3-15f4...
The charges on the colloidal CdS sol and TiO<sub>2</sub> sol are, respectively :...
Given below are two statements :<br><br>Statement I : C<sub>2</sub>H<sub>5</sub>...
A hard substance melts at high temperature and is an insulator in both solid and...
The oxide that shows magnetic property is :
Match List - I with List - II :<br><br><table> <thead> <tr> <th></th> ...
In basic medium, H<sub>2</sub>O<sub>2</sub> exhibits which of the following reac...
In the reaction of hypobromite with amide, the carbonyl carbon is lost as :
The secondary valency and the number of hydrogen bonded water molecule(s) in CuS...
The first ionization energy of magnesium is smaller as compared to that of eleme...
Match List - I with List - II :<br><br><table> <thead> <tr> <th></th> ...
Given below are two statements :<br><br>Statement I : Bohr's theory accounts for...
The oxidation states of nitrogen in NO, NO<sub>2</sub>, N<sub>2</sub>O and NO$$_... An organic compound "A" on treatment with benzene sulphonyl chloride gives compo... Main products formed during a reaction of 1-methoxy naphthalene with hydroiodic ... <img src="https://imagex.cdn.examgoal.net/1kmnoa6si/0087aa2d-b634-41d4-8669-9cbb... Match List - I with List - II :<br><br><table> <thead> <tr> <th></th> ... In Tollen's test for aldehyde, the overall number of electron(s) transferred to ... 10.0 mL of Na<sub>2</sub>CO<sub>3</sub> solution is titrated against 0.2 M HCl s... A xenon compound 'A' upon partial hydrolysis gives XeO<sub>2</sub>F<sub>2</sub>.... The number of species below that have two lone pairs of electrons in their centr... <img src="https://imagex.cdn.examgoal.net/1kmnocj2i/f0a20eff-8273-4f93-8645-5550... The molar conductivities at infinite dilution of barium chloride, sulphuric acid... The gas phase reaction$$2A(g) \rightleftharpoons {A_2}(g)$$at 400 K has$$\Del...
A reaction has a half life of 1 min. The time required for 99.9% completion of t...
The solubility of CdSO<sub>4</sub> in water is 8.0 $$\times$$ 10<sup>$$-$$4</sup...
A solute A dimerizes in water. The boiling point of a 2 molal solution of A is 1...

## Mathematics

Let y = y(x) be the solution of the differential equation <br><br>$${{dy} \over ... Let the system of linear equations <br><br>4x +$$\lambda$$y + 2z = 0<br><br>2x ... The area bounded by the curve 4y<sup>2</sup> = x<sup>2</sup>(4$$-$$x)(x$$-$$... If 15sin<sup>4</sup>$$\alpha$$+ 10cos<sup>4</sup>$$\alpha$$= 6, for some$$\al...
Let $$\overrightarrow a$$ and $$\overrightarrow b$$ be two non-zero vectors pe...
A pole stands vertically inside a triangular park ABC. Let the angle of elevatio...
Let in a Binomial distribution, consisting of 5 independent trials, probabilitie...
Let a complex number be w = 1 $$-$$ $${\sqrt 3 }$$i. Let another complex number ...
Let f : R $$\to$$ R be a function defined as<br><br>$$f(x) = \left\{ \matrix{ ... Let S<sub>1</sub> : x<sup>2</sup> + y<sup>2</sup> = 9 and S<sub>2</sub> : (x$$-...
Let g(x) = $$\int_0^x {f(t)dt}$$, where f is continuous function in [ 0, 3 ] su...
Let in a series of 2n observations, half of them are equal to a and remaining ha...
In a triangle ABC, if $$|\overrightarrow {BC} | = 8,|\overrightarrow {CA} | = 7,... Define a relation R over a class of n$$\times$$n real matrices A and B as <br>... Let the centroid of an equilateral triangle ABC be at the origin. Let one of the... Consider a hyperbola H : x<sup>2</sup>$$-$$2y<sup>2</sup> = 4. Let the tangent... Let f : R$$-$${3}$$ \to $$R$$-$${1} be defined by f(x) =$${{x - 2} \over ...
Let S<sub>1</sub> be the sum of first 2n terms of an arithmetic progression. Let...
If P and Q are two statements, then which of the following compound statement is...
Let a tangent be drawn to the ellipse $${{{x^2}} \over {27}} + {y^2} = 1$$ at $$... If$$\sum\limits_{r = 1}^{10} {r!({r^3} + 6{r^2} + 2r + 5) = \alpha (11!)} $$, t... Let the mirror image of the point (1, 3, a) with respect to the plane$$\overrig...
If f(x) and g(x) are two polynomials such that the polynomial P(x) = f(x<sup>3</...
The term independent of x in the expansion of <br><br>$${\left[ {{{x + 1} \over ... Let P be a plane containing the line$${{x - 1} \over 3} = {{y + 6} \over 4} = {...
Let y = y(x) be the solution of the differential equation <br><br>xdy $$-$$ ydx ...
Let I be an identity matrix of order 2 $$\times$$ 2 and P = $$\left[ {\matrix{ ... Let f : R$$ \to $$R satisfy the equation f(x + y) = f(x) . f(y) for all x, y ... Let$${}^n{C_r}$$denote the binomial coefficient of x<sup>r</sup> in the expans... Let P(x) be a real polynomial of degree 3 which vanishes at x =$$-$$3. Let P(x)... ## Physics A plane electromagnetic wave propagating along y-direction can have the followin... If the angular velocity of earth's spin is increased such that the bodies at the... An object of mass m<sub>1</sub> collides with another object of mass m<sub>2</su... The correct relation between$$\alpha$$(ratio of collector current to emitter c... In a series LCR circuit, the inductive reactance (X<sub>L</sub>) is 10$$\Omega$$... A particle of mass m moves in a circular orbit under the central potential field... The angular momentum of a planet of mass M moving around the sun in an elliptica... Three rays of light, namely red (R), green (G) and blue (B) are incident on the ... Consider a uniform wire of mass M and length L. It is bent into a semicircle. It... The velocity$$-$$displacement graph of a particle is shown in the figure.<br><... The speed of electrons in a scanning electron microscope is 1$$\times$$10<sup>... The decay of a proton to neutron is : Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of r... The time taken for the magnetic energy to reach 25% of its maximum value, when a... A solid cylinder of mass m is wrapped with an inextensible light string and, is ... The function of time representing a simple harmonic motion with a period of$${\...
For an adiabatic expansion of an ideal gas, the fractional change in its pressur...
A proton and an $$\alpha$$-particle, having kinetic energies K<sub>p</sub> and K...
An ideal gas in a cylinder is separated by a piston in such a way that the entro...
Which of the following statements are correct?<br><br>(A) Electric monopoles do ...
Two wires of same length and thickness having specific resistances 6$$\Omega$$ c...
Consider a 72 cm long wire AB as shown in the figure. The galvanometer jockey is...
A galaxy is moving away from the earth at a speed of 286 kms<sup>$$-$$1</sup>. T...
A TV transmission tower antenna is at a height of 20 m. Suppose that the receivi...
A ball of mass 4 kg, moving with a velocity of 10 ms<sup>$$-$$1</sup>, collides ...
Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m...
The radius of a sphere is measured to be (7.50 $$\pm$$ 0.85) cm. Suppose the per...
The typical output characteristics curve for a transistor working in the common-...
The projectile motion of a particle of mass 5 g is shown in the figure.<br><br><...
An infinite number of point charges, each carrying 1 $$\mu$$C charge, are placed...

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