JEE Main 2021 (Online) 16th March Morning Shift

Paper was held on
Tue, Mar 16, 2021 3:30 AM

## Chemistry

The product ''P'' in the above reaction is :

View Question Given below are two statements : one is labeled as Assertion A and the other is labelled as Reason R :Assertion A : The

View Question In the above chemical reaction, intermediate ''X'' and reagent/condition ''A'' are :

View Question The type of pollution that gets increased during the day time and in the presence of O3 is :

View Question The functions of antihistamine are :

View Question Match List - I with List - II :
List - IIndustrial process
List - IIApplication
(a)

View Question Assertion A : Enol form of acetone [CH3COCH3] exists in < 0.1% quantity. However, the enol form of acetyl acetone [CH

View Question Given below are two statements :Statement I : The Eo value for Ce4+ / Ce3+ is + 1.74 V.Statement II : Ce is more stable

View Question In chromotography technique, the purification of compound is independent of :

View Question Given below are two statements :Statement I : H2O2 can act as both oxidising and reducing agent in basic medium.Statemen

View Question A group of 15 element, which is a metal and forms a hydride with strongest reducing power among group 15 hydrides. The e

View Question Among the following, the aromatic compounds are :Choose the correct answer from the following options :

View Question Match List - I with List - II :
List - I Name of oxo acid
List - II Oxidation state of 'P'

View Question Which of the following reactions DOES NOT involve Hoffmann bromamide degradation?

View Question Which of the following is Lindlar catalyst?

View Question Given below are two statements :Statement I : Both CaCl2 . 6H2O and MgCl2 . 8H2O undergo dehydration on heating.Statemen

View Question Which among the following pairs of Vitamins is stored in our body relatively for longer duration?

View Question The process that involves the removal of sulphur from the ores is :

View Question Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R :Assertion A : Size

View Question The products ''A'' and ''B'' formed in above reactions are :

View Question The equivalents of ethylene diamine required to replace the neutral ligands from the coordination sphere of the trans-co

View Question Two salts A2X and MX have the same value of solubility product of 4.0 $$\times$$ 10$$-$$12. The ratio of their molar sol

View Question Complete combustion of 750 g of an organic compound provides 420 g of CO2 and 210 g of H2O. The percentage composition o

View Question For the reaction $$A(g) \rightleftharpoons B(g)$$ at 495 K, $$\Delta$$rG$$^\circ$$ = $$-$$9.478 kJ mol$$-$$1.If we start

View Question $$2MnO_4^ - + b{C_2}O_4^{2 - } + c{H^ + } \to xM{n^{2 + }} + yC{O_2} + z{H_2}O$$If the above equation is balanced with

View Question A certain element crystallises in a bcc lattice of unit cell edge length 27$$\mathop A\limits^o $$. If the same element

View Question A 6.50 molal solution of KOH (aq.) has a density of 1.89 g cm$$-$$3. The molarity of the solution is ____________ mol dm

View Question AB2 is 10% dissociated in water to A2+ and B$$-$$. The boiling point of a 10.0 molal aqueous solution of AB2 is ________

View Question When light of wavelength 248 nm falls on a metal of threshold energy 3.0 eV, the de-Broglie wavelength of emitted electr

View Question The decomposition of formic acid on gold surface follows first order kinetics. If the rate constant at 300 K is 1.0 $$\t

View Question ## Mathematics

Let a vector $$\alpha \widehat i + \beta \widehat j$$ be obtained by rotating the vector $$\sqrt 3 \widehat i + \widehat

View Question Let $${S_k} = \sum\limits_{r = 1}^k {{{\tan }^{ - 1}}\left( {{{{6^r}} \over {{2^{2r + 1}} + {3^{2r + 1}}}}} \right)} $$.

View Question Let the position vectors of two points P and Q be 3$$\widehat i$$ $$-$$ $$\widehat j$$ + 2$$\widehat k$$ and $$\widehat

View Question Which of the following Boolean expression is a tautology?

View Question The number of elements in the set {x $$\in$$ R : (|x| $$-$$ 3) |x + 4| = 6} is equal to :

View Question If the three normals drawn to the parabola, y2 = 2x pass through the point (a, 0) a $$\ne$$ 0, then 'a' must be greater

View Question Let a complex number z, |z| $$\ne$$ 1, satisfy $${\log _{{1 \over {\sqrt 2 }}}}\left( {{{|z| + 11} \over {{{(|z| - 1)}^2

View Question Let $$A = \left[ {\matrix{
i & { - i} \cr
{ - i} & i \cr
} } \right],i = \sqrt { - 1} $$. Then, the

View Question Let P be a plane lx + my + nz = 0 containing the line, $${{1 - x} \over 1} = {{y + 4} \over 2} = {{z + 2} \over 3}$$. If

View Question The number of roots of the equation, (81)sin2x + (81)cos2x = 30 in the interval [ 0, $$\pi$$ ] is equal to :

View Question If n is the number of irrational terms in the expansion of $${\left( {{3^{1/4}} + {5^{1/8}}} \right)^{60}}$$, then (n $$

View Question The locus of the midpoints of the chord of the circle, x2 + y2 = 25 which is tangent to the hyperbola, $${{{x^2}} \over

View Question Let the functions f : R $$ \to $$ R and g : R $$ \to $$ R be defined as :$$f(x) = \left\{ {\matrix{
{x + 2,} & {x

View Question If for a > 0, the feet of perpendiculars from the points A(a, $$-$$2a, 3) and B(0, 4, 5) on the plane lx + my + nz =

View Question Let [ x ] denote greatest integer less than or equal to x. If for n$$\in$$N, $${(1 - x + {x^3})^n} = \sum\limits_{j = 0}

View Question Consider three observations a, b, and c such that b = a + c. If the standard deviation of a + 2, b + 2, c + 2 is d, then

View Question The range of a$$\in$$R for which the function f(x) = (4a $$-$$ 3)(x + loge 5) + 2(a $$-$$ 7) cot$$\left( {{x \over 2}} \

View Question If for x $$\in$$ $$\left( {0,{\pi \over 2}} \right)$$, log10sinx + log10cosx = $$-$$1 and log10(sinx + cosx) = $${1 \ov

View Question A pack of cards has one card missing. Two cards are drawn randomly and are found to be spades. The probability that the

View Question If y = y(x) is the solution of the differential equation, $${{dy} \over {dx}} + 2y\tan x = \sin x,y\left( {{\pi \over 3

View Question Let the curve y = y(x) be the solution of the differential equation, $${{dy} \over {dx}}$$ = 2(x + 1). If the numerical

View Question Let ABCD be a square of side of unit length. Let a circle C1 centered at A with unit radius is drawn. Another circle C2

View Question Let f : R $$ \to $$ R be a continuous function such that f(x) + f(x + 1) = 2, for all x$$\in$$R. If $${I_1} = \int\limit

View Question Let f : (0, 2) $$ \to $$ R be defined as f(x) = log2$$\left( {1 + \tan \left( {{{\pi x} \over 4}} \right)} \right)$$. Th

View Question If the normal to the curve y(x) = $$\int\limits_0^x {(2{t^2} - 15t + 10)dt} $$ at a point (a, b) is parallel to the line

View Question Consider an arithmetic series and a geometric series having four initial terms from the set {11, 8, 21, 16, 26, 32, 4}.

View Question Let $$P = \left[ {\matrix{
{ - 30} & {20} & {56} \cr
{90} & {140} & {112} \cr
{120} & {

View Question If $$\mathop {\lim }\limits_{x \to 0} {{a{e^x} - b\cos x + c{e^{ - x}}} \over {x\sin x}} = 2$$, then a + b + c is equal

View Question Let z and $$\omega$$ be two complex numbers such that $$\omega = z\overline z - 2z + 2,\left| {{{z + i} \over {z - 3i}}

View Question The total number of 3 $$\times$$ 3 matrices A having entries from the set {0, 1, 2, 3} such that the sum of all the diag

View Question ## Physics

The pressure acting on a submarine is 3 $$\times$$ 105 Pa at a certain depth. If the depth is doubled, the percentage in

View Question A 25 m long antenna is mounted on an antenna tower. The height of the antenna tower is 75 m. The wavelength (in meter) o

View Question The velocity-displacement graph describing the motion of bicycle is shown in the figure.The acceleration-displacement gr

View Question A block of mass m slides along a floor while a force of magnitude F is applied to it at an angle $$\theta$$ as shown in

View Question A block of 200 g mass moves with a uniform speed in a horizontal circular groove, with vertical side walls of radius 20

View Question Time period of a simple pendulum is T inside a lift when the lift is stationary. If the lift moves upwards with an accel

View Question The angle of deviation through a prism is minimum when(A) Incident ray and emergent ray are symmetric to the prism.(B) T

View Question Four equal masses, m each are placed at the comers of a square of length (l) as shown in the figure. The moment of inert

View Question In thermodynamics, heat and work are :

View Question For changing the capacitance of a given parallel plate capacitor, a dielectric material of dielectric constant K is used

View Question A plane electromagnetic wave of frequency 500 MHz is travelling in vacuum along y-direction. At a particular point in sp

View Question The maximum and minimum distances of a comet from the Sun are 1.6 $$\times$$ 1012 m and 8.0 $$\times$$ 1010 m respective

View Question A conducting wire of length 'l', area of cross-section A and electric resistivity $$\rho$$ is connected between the term

View Question A bar magnet of length 14 cm is placed in the magnetic meridian with its north pole pointing towards the geographic nort

View Question For an electromagnetic wave travelling in free space, the relation between average energy densities due to electric (Ue)

View Question The stopping potential in the context of photoelectric effect depends on the following property of incident electromagne

View Question An RC circuit as shown in the figure is driven by a AC source generating a square wave. The output wave pattern monitore

View Question One main scale division of a vernier callipers is 'a' cm and nth division of the vernier scale coincide with (n $$-$$ 1)

View Question A conducting bar of length L is free to slide on two parallel conducting rails as shown in the figure Two resistors R1 a

View Question The volume V of an enclosure contains a mixture of three gases, 16 g of oxygen, 28 g of nitrogen and 44 g of carbon diox

View Question The value of power dissipated across the zener diode (Vz = 15V) connected in the circuit as shown in the figure is x $$\

View Question A fringe width of 6 mm was produced for two slits separated by 1 mm apart. The screen is placed 10 m away. The wavelengt

View Question In the figure given, the electric current flowing through the 5 k$$\Omega$$ resistor is 'x' mA.The value of x to the nea

View Question Consider a 20 kg uniform circular disk of radius 0.2 m. It is pin supported at its center and is at rest initially. The

View Question The resistance R = $${V \over I}$$, where V = (50 $$\pm$$ 2)V and I = (20 $$\pm$$ 0.2)A. The percentage error in R is 'x

View Question A sinusoidal voltage of peak value 250 V is applied to a series LCR circuit, in which R = 8$$\Omega$$, L = 24 mH and C =

View Question In the logic circuit shown in the figure, if input A and B are 0 to 1 respectively, the output at Y would be 'x'.The val

View Question A ball of mass 10 kg moving with a velocity $$10\sqrt 3 $$ m s$$-$$1 along X-axis, hits another ball of mass 20 kg which

View Question The first three spectral lines of H-atom in the Balmer series are given $$\lambda$$1, $$\lambda$$2, $$\lambda$$3 conside

View Question Consider a frame that is made up of two thin massless rods AB and AC as shown in the figure. A vertical force $$\overrig

View Question