JEE Main 2021 (Online) 20th July Evening Shift
Paper was held on Tue, Jul 20, 2021 9:30 AM
View Questions

Chemistry

Which one of the following pairs of isomers is an example of metamerism?
View Question
In the above reactions, product A and product B respectively are :
View Question
The major product (P) in the following reaction is :
View Question
The single largest industrial application of dihydrogen is :
View Question
Consider two chemical reactions (A) and (B) that take place during metallurgical process:(A) $$ZnC{O_{3(s)}}\buildrel \D
View Question
A solution is 0.1 M in Cl$$-$$ and 0.001 M in CrO$$_4^{2 - }$$. Solid AgNO3 is gradually added to it. Assuming that the
View Question
Outermost electronic configuration of a group 13 element, E, is 4s2, 4p1. The electronic configuration of an element of
View Question
Metallic sodium does not react normally with :
View Question
Spin only magnetic moment of an octahedral complex of Fe2+ in the presence of a strong field ligand in BM is :
View Question
Which one of the following species doesn't have a magnetic moment of 1.73 BM, (spin only value)?
View Question
Which one of the following statements is not true about enzymes?
View Question
The hybridisations of the atomic orbitals of nitrogen in NO$$_2^ - $$, NO$$_2^ + $$ and NH$$_4^ + $$ respectively are.
View Question
Bakelite is a cross-linked polymer of formaldehyde and :
View Question
Benzene on nitration gives nitrobenzene in presence of HNO3 and H2SO4 mixture, where :
View Question
Consider the above reaction, compound B is :
View Question
Major product P of above reaction, is :
View Question
Cu2+ salt reacts with potassium iodide to give
View Question
In Carius method, halogen containing organic compound is heated with fuming nitric acid in the presence of :
View Question
Which one of the following gases is reported to retard photosynthesis?
View Question
The correct order of their reactivity towards hydrolysis at room temperature is :
View Question
For a given chemical reaction A $$\to$$ B at 300 K the free energy change is $$-$$49.4 kJ mol$$-$$1 and the enthalpy of
View Question
The wavelength of electrons accelerated from rest through a potential difference of 40 kV is x $$\times$$ 10$$-$$12 m. T
View Question
The vapour pressures of A and B at 25$$^\circ$$C are 90 mm Hg and 15 mm Hg respectively. If A and B are mixed such that
View Question
4g equimolar mixture of NaOH and Na2CO3 contains x g of NaOH and y g of Na2CO3. The value of x is ____________ g. (Neare
View Question
When 0.15 g of an organic compound was analyzed using Carius method for estimation of bromine, 0.2397 g of AgBr was obta
View Question
100 ml of 0.0018% (w/v) solution of Cl$$-$$ ion was the minimum concentration of Cl$$-$$ required to precipitate a negat
View Question
$$PC{l_5}(g) \to PC{l_3}(g) + C{l_2}(g)$$In the above first order reaction the concentration of PCl5 reduces from initia
View Question
Diamond has a three dimensional structure of C atoms formed by covalent bonds. The structure of diamond has face centred
View Question
An aqueous solution of NiCl2 was heated with excess sodium cyanide in presence of strong oxidizing agent to form [Ni(CN)
View Question
Potassium chlorate is prepared by electrolysis of KCl in basic solution as shown by following equation.6OH$$-$$ + Cl$$-$
View Question

Mathematics

For the natural numbers m, n, if $${(1 - y)^m}{(1 + y)^n} = 1 + {a_1}y + {a_2}{y^2} + .... + {a_{m + n}}{y^{m + n}}$$ an
View Question
The value of $$\tan \left( {2{{\tan }^{ - 1}}\left( {{3 \over 5}} \right) + {{\sin }^{ - 1}}\left( {{5 \over {13}}} \rig
View Question
Let r1 and r2 be the radii of the largest and smallest circles, respectively, which pass through the point ($$-$$4, 1) a
View Question
Consider the following three statements :(A) If 3 + 3 = 7 then 4 + 3 = 8(B) If 5 + 3 = 8 then earth is flat.(C) If both
View Question
The lines x = ay $$-$$ 1 = z $$-$$ 2 and x = 3y $$-$$ 2 = bz $$-$$ 2, (ab $$\ne$$ 0) are coplanar, if :
View Question
If [x] denotes the greatest integer less than or equal to x, then the value of the integral $$\int_{ - \pi /2}^{\pi /2}
View Question
If the real part of the complex number $${(1 - \cos \theta + 2i\sin \theta )^{ - 1}}$$ is $${1 \over 5}$$ for $$\theta
View Question
Let $$f:R - \left\{ {{\alpha \over 6}} \right\} \to R$$ be defined by $$f(x) = {{5x + 3} \over {6x - \alpha }}$$. Then
View Question
If $$f:R \to R$$ is given by $$f(x) = x + 1$$, then the value of $$\mathop {\lim }\limits_{n \to \infty } {1 \over n}\le
View Question
Let A, B and C be three events such that the probability that exactly one of A and B occurs is (1 $$-$$ k), the probabil
View Question
The sum of all the local minimum values of the twice differentiable function f : R $$\to$$ R defined by $$f(x) = {x^3} -
View Question
Let in a right angled triangle, the smallest angle be $$\theta$$. If a triangle formed by taking the reciprocal of its s
View Question
Let y = y(x) satisfies the equation $${{dy} \over {dx}} - |A| = 0$$, for all x > 0, where $$A = \left[ {\matrix{ y
View Question
Consider the line L given by the equation $${{x - 3} \over 2} = {{y - 1} \over 1} = {{z - 2} \over 1}$$. Let Q be the mi
View Question
If the mean and variance of six observations 7, 10, 11, 15, a, b are 10 and $${{20} \over 3}$$, respectively, then the v
View Question
Let $$g(t) = \int_{ - \pi /2}^{\pi /2} {\cos \left( {{\pi \over 4}t + f(x)} \right)} dx$$, where $$f(x) = {\log _e}\lef
View Question
Let P be a variable point on the parabola $$y = 4{x^2} + 1$$. Then, the locus of the mid-point of the point P and the fo
View Question
The value of k $$\in$$R, for which the following system of linear equations3x $$-$$ y + 4z = 3,x + 2y $$-$$ 3z = $$-$$26
View Question
If sum of the first 21 terms of the series $${\log _{{9^{1/2}}}}x + {\log _{{9^{1/3}}}}x + {\log _{{9^{1/4}}}}x + ......
View Question
In a triangle ABC, if $$\left| {\overrightarrow {BC} } \right| = 3$$, $$\left| {\overrightarrow {CA} } \right| = 5$$ and
View Question
Let $$A = \{ {a_{ij}}\} $$ be a 3 $$\times$$ 3 matrix, where $${a_{ij}} = \left\{ {\matrix{ {{{( - 1)}^{j - i}}} &amp
View Question
The number of solutions of the equation $${\log _{(x + 1)}}(2{x^2} + 7x + 5) + {\log _{(2x + 5)}}{(x + 1)^2} - 4 = 0$$,
View Question
Let a curve y = y(x) be given by the solution of the differential equation $$\cos \left( {{1 \over 2}{{\cos }^{ - 1}}({e
View Question
For p > 0, a vector $${\overrightarrow v _2} = 2\widehat i + (p + 1)\widehat j$$ is obtained by rotating the vector $
View Question
Consider a triangle having vertices A($$-$$2, 3), B(1, 9) and C(3, 8). If a line L passing through the circum-centre of
View Question
If the point on the curve y2 = 6x, nearest to the point $$\left( {3,{3 \over 2}} \right)$$ is ($$\alpha$$, $$\beta$$), t
View Question
Let a function g : [ 0, 4 ] $$\to$$ R be defined as $$g(x) = \left\{ {\matrix{ {\mathop {\max }\limits_{0 \le t \le x
View Question
For k $$\in$$ N, let $${1 \over {\alpha (\alpha + 1)(\alpha + 2).........(\alpha + 20)}} = \sum\limits_{K = 0}^{20} {
View Question
Let $$\left\{ {{a_n}} \right\}_{n = 1}^\infty $$ be a sequence such that a1 = 1, a2 = 1 and $${a_{n + 2}} = 2{a_{n + 1}}
View Question
If $$\mathop {\lim }\limits_{x \to 0} {{\alpha x{e^x} - \beta {{\log }_e}(1 + x) + \gamma {x^2}{e^{ - x}}} \over {x{{\si
View Question

Physics

If the Kinetic energy of a moving body becomes four times its initial Kinetic energy, then the percentage change in its
View Question
A boy reaches the airport and finds that the escalator is not working. He walks up the stationary escalator in time t1.
View Question
A satellite is launched into a circular orbit of radius R around earth, while a second satellite is launched into a circ
View Question
With what speed should a galaxy move outward with respect to earth so that the sodium-D line at wavelength 5890 $$\matho
View Question
The length of a metal wire is l1, when the tension in it is T1 and is l2 when the tension is T2. The natural length of t
View Question
In an electromagnetic wave the electric field vector and magnetic field vector are given as $$\overrightarrow E = {E_0}
View Question
For a series LCR circuit with R = 100 $$\Omega$$, L = 0.5 mH and C = 0.1 pF connected across 220V$$-$$50 Hz AC supply, t
View Question
Which of the following graphs represent the behavior of an ideal gas? Symbols have their usual meaning.
View Question
A particle is making simple harmonic motion along the X-axis. If at a distances x1 and x2 from the mean position the vel
View Question
An electron having de-Broglie wavelength $$\lambda$$ is incident on a target in a X-ray tube. Cut-off wavelength of emit
View Question
A body rolls down an inclined plane without slipping. The kinetic energy of rotation is 50% of its translational kinetic
View Question
If time (t), velocity (v), and angular momentum (l) are taken as the fundamental units. Then the dimension of mass (m) i
View Question
The correct relation between the degrees of freedom f and the ratio of specific heat $$\gamma$$ is :
View Question
For a certain radioactive process the graph between In R and t(sec) is obtained as shown in the figure. Then the value o
View Question
Consider a binary star system of star A and star B with masses mA and mB revolving in a circular orbit of radii rA an rB
View Question
At an angle of 30$$^\circ$$ to the magnetic meridian, the apparent dip is 45$$^\circ$$. Find the true dip :
View Question
A body at rest is moved along a horizontal straight line by a machine delivering a constant power. The distance moved by
View Question
Two vectors $${\overrightarrow P }$$ and $${\overrightarrow Q }$$ have equal magnitudes. If the magnitude of $${\overrig
View Question
Two small drops of mercury each of radius R coalesce to form a single large drop. The ratio of total surface energy befo
View Question
The magnetic susceptibility of a material of a rod is 499. Permeability in vacuum is 4$$\pi$$ $$\times$$ 10$$-$$7 H/m. A
View Question
A zener diode having zener voltage 8 V and power dissipation rating of 0.5 W is connected across a potential divider arr
View Question
A body of mass 'm' is launched up on a rough inclined plane making an angle of 30$$^\circ$$ with the horizontal. The coe
View Question
In the given figure switches S1 and S2 are in open condition. The resistance across ab when the switches S1 and S2 are c
View Question
Two bodies, a ring and a solid cylinder of same material are rolling down without slipping an inclined plane. The radii
View Question
For the forward biased diode characteristics shown in the figure, the dynamic resistance at ID = 3 mA will be __________
View Question
A series LCR circuit of R = 5$$\Omega$$, L = 20 mH and C = 0.5 $$\mu$$F is connected across an AC supply of 250 V, havin
View Question
One mole of an ideal gas at 27$$^\circ$$ is taken from A to B as shown in the given PV indicator diagram. The work done
View Question
A certain metallic surface is illuminated by monochromatic radiation of wavelength $$\lambda$$. The stopping potential f
View Question
A body rotating with an angular speed of 600 rpm is uniformly accelerated to 1800 rpm in 10 sec. The number of rotations
View Question
A radioactive substance decays to $${\left( {{1 \over {16}}} \right)^{th}}$$ of its initial activity in 80 days. The hal
View Question
EXAM MAP
Medical
NEET
Graduate Aptitude Test in Engineering
GATE CSEGATE ECEGATE EEGATE MEGATE CEGATE PIGATE IN
Civil Services
UPSC Civil Service
CBSE
Class 12