JEE Main 2021 (Online) 18th March Evening Shift

Paper was held on
Thu, Mar 18, 2021 9:30 AM

## Chemistry

Deficiency of vitamin K causes :

View Question In the following molecule,Hybridisation of Carbon a, b, and c respectively are :

View Question Consider the given reaction, percentage yield of :

View Question Given below are two statements :Statement I : C2H5OH and AgCN both can generate nucleophile.Statement II : KCN and AgCN

View Question The oxide that shows magnetic property is :

View Question In the reaction of hypobromite with amide, the carbonyl carbon is lost as :

View Question The secondary valency and the number of hydrogen bonded water molecule(s) in CuSO4 . 5H2O, respectively, are :

View Question The first ionization energy of magnesium is smaller as compared to that of elements X and Y, but higher than that of Z.

View Question Given below are two statements :Statement I : Bohr's theory accounts for the stability and line spectrum of Li+ ion.Stat

View Question The oxidation states of nitrogen in NO, NO2, N2O and NO$$_3^ - $$ are in the order of :

View Question An organic compound "A" on treatment with benzene sulphonyl chloride gives compound B. B is soluble in dil. NaOH solutio

View Question Main products formed during a reaction of 1-methoxy naphthalene with hydroiodic acid are :

View Question Consider the above reaction, the product 'X' and 'Y' respectively are :

View Question In Tollen's test for aldehyde, the overall number of electron(s) transferred to the Tollen's reagent formula [Ag(NH3)2]+

View Question 10.0 mL of Na2CO3 solution is titrated against 0.2 M HCl solution. The following titre values were obtained in 5 reading

View Question The number of species below that have two lone pairs of electrons in their central atom is _________. (Round off to the

View Question Consider the above reaction where 6.1 g of Benzoic acid is used to get 7.8 g of m-bromo benzoic acid. The percentage yie

View Question The molar conductivities at infinite dilution of barium chloride, sulphuric acid and hydrochloric acid are 280, 860 and

View Question The gas phase reaction $$2A(g) \rightleftharpoons {A_2}(g)$$ at 400 K has $$\Delta$$Go = + 25.2 kJ mol-1.The equilibrium

View Question A reaction has a half life of 1 min. The time required for 99.9% completion of the reaction is _________ min. (Round off

View Question The solubility of CdSO4 in water is 8.0 $$\times$$ 10$$-$$4 mol L$$-$$1. Its solubility in 0.01 M H2SO4 solution is ____

View Question A solute A dimerizes in water. The boiling point of a 2 molal solution of A is 100.52$$^\circ$$C. The percentage associa

View Question ## Mathematics

Let y = y(x) be the solution of the differential equation $${{dy} \over {dx}} = (y + 1)\left( {(y + 1){e^{{x^2}/2}} - x}

View Question Let the system of linear equations 4x + $$\lambda$$y + 2z = 02x $$-$$ y + z = 0$$\mu$$x + 2y + 3z = 0, $$\lambda$$, $$\m

View Question The area bounded by the curve 4y2 = x2(4 $$-$$ x)(x $$-$$ 2) is equal to :

View Question If 15sin4$$\alpha$$ + 10cos4$$\alpha$$ = 6, for some $$\alpha$$$$\in$$R, then the value of 27sec6$$\alpha$$ + 8cosec6$$\

View Question Let $$\overrightarrow a $$ and $$\overrightarrow b $$ be two non-zero vectors perpendicular to each other and $$|\overri

View Question Let a complex number be w = 1 $$-$$ $${\sqrt 3 }$$i. Let another complex number z be such that |zw| = 1 and arg(z) $$-$$

View Question Let f : R $$ \to $$ R be a function defined as$$f(x) = \left\{ \matrix{
{{\sin (a + 1)x + \sin 2x} \over {2x}},if\,x &

View Question Let g(x) = $$\int_0^x {f(t)dt} $$, where f is continuous function in [ 0, 3 ] such that $${1 \over 3}$$ $$ \le $$ f(t) $

View Question Let in a series of 2n observations, half of them are equal to a and remaining half are equal to $$-$$a. Also by adding a

View Question In a triangle ABC, if $$|\overrightarrow {BC} | = 8,|\overrightarrow {CA} | = 7,|\overrightarrow {AB} | = 10$$, then the

View Question Define a relation R over a class of n $$\times$$ n real matrices A and B as "ARB iff there exists a non-singular matrix

View Question Let the centroid of an equilateral triangle ABC be at the origin. Let one of the sides of the equilateral triangle be al

View Question Let f : R $$-$$ {3} $$ \to $$ R $$-$$ {1} be defined by f(x) = $${{x - 2} \over {x - 3}}$$.Let g : R $$ \to $$ R be give

View Question Let S1 be the sum of first 2n terms of an arithmetic progression. Let S2 be the sum of first 4n terms of the same arithm

View Question If $$\sum\limits_{r = 1}^{10} {r!({r^3} + 6{r^2} + 2r + 5) = \alpha (11!)} $$, then the value of $$\alpha$$ is equal to

View Question If f(x) and g(x) are two polynomials such that the polynomial P(x) = f(x3) + x g(x3) is divisible by x2 + x + 1, then P(

View Question The term independent of x in the expansion of $${\left[ {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over {x

View Question Let y = y(x) be the solution of the differential equation xdy $$-$$ ydx = $$\sqrt {({x^2} - {y^2})} dx$$, x $$ \ge $$ 1,

View Question Let I be an identity matrix of order 2 $$\times$$ 2 and P = $$\left[ {\matrix{
2 & { - 1} \cr
5 & { - 3}

View Question Let f : R $$ \to $$ R satisfy the equation f(x + y) = f(x) . f(y) for all x, y $$\in$$R and f(x) $$\ne$$ 0 for any x$$\i

View Question Let P(x) be a real polynomial of degree 3 which vanishes at x = $$-$$3. Let P(x) have local minima at x = 1, local maxim

View Question ## Physics

A plane electromagnetic wave propagating along y-direction can have the following pair of electric field $$\left( {\over

View Question If the angular velocity of earth's spin is increased such that the bodies at the equator start floating, the duration of

View Question An object of mass m1 collides with another object of mass m2, which is at rest. After the collision the objects move wit

View Question In a series LCR circuit, the inductive reactance (XL) is 10$$\Omega$$ and the capacitive reactance (XC) is 4$$\Omega$$.

View Question A particle of mass m moves in a circular orbit under the central potential field, $$U(r) = - {C \over r}$$, where C is

View Question The angular momentum of a planet of mass M moving around the sun in an elliptical orbit is $${\overrightarrow L }$$. The

View Question Three rays of light, namely red (R), green (G) and blue (B) are incident on the face PQ of a right angled prism PQR as s

View Question Consider a uniform wire of mass M and length L. It is bent into a semicircle. Its moment of inertia about a line perpend

View Question The velocity $$-$$ displacement graph of a particle is shown in the figure.The acceleration $$-$$ displacement graph of

View Question Consider a sample of oxygen behaving like an ideal gas. At 300 K, the ratio of root mean square (rms) velocity to the av

View Question The time taken for the magnetic energy to reach 25% of its maximum value, when a solenoid of resistance R, inductance L

View Question A solid cylinder of mass m is wrapped with an inextensible light string and, is placed on a rough inclined plane as show

View Question The function of time representing a simple harmonic motion with a period of $${\pi \over \omega }$$ is :

View Question For an adiabatic expansion of an ideal gas, the fractional change in its pressure is equal to (where $$\gamma$$ is the r

View Question A proton and an $$\alpha$$-particle, having kinetic energies Kp and K$$\alpha$$ respectively, enter into a magnetic fiel

View Question An ideal gas in a cylinder is separated by a piston in such a way that the entropy of one part is S1 and that of the oth

View Question Which of the following statements are correct?(A) Electric monopoles do not exist whereas magnetic monopoles exist.(B) M

View Question Two wires of same length and thickness having specific resistances 6$$\Omega$$ cm and 3$$\Omega$$ cm respectively are co

View Question Consider a 72 cm long wire AB as shown in the figure. The galvanometer jockey is placed at P on AB at a distance x cm fr

View Question A galaxy is moving away from the earth at a speed of 286 kms$$-$$1. The shift in the wavelength of a redline at 630 nm i

View Question A ball of mass 4 kg, moving with a velocity of 10 ms$$-$$1, collides with a spring of length 8 m and force constant 100

View Question Consider a water tank as shown in the figure. It's cross-sectional area is 0.4 m2. The tank has an opening B near the bo

View Question The radius of a sphere is measured to be (7.50 $$\pm$$ 0.85) cm. Suppose the percentage error in its volume is x. The va

View Question The projectile motion of a particle of mass 5 g is shown in the figure.The initial velocity of the particle is $$5\sqrt

View Question An infinite number of point charges, each carrying 1 $$\mu$$C charge, are placed along the y-axis at y = 1 m, 2 m, 4 m,

View Question