JEE Main 2021 (Online) 20th July Evening Shift

The major product (P) in the following reaction is :

The correct order of their reactivity towards hydrolysis at room temperature is :

Which one of the following pairs of isomers is an example of metamerism?

When 0.15 g of an organic compound was analyzed using Carius method for estimation of bromine, 0.2397 g of AgBr was obtained. The percentage of bromine in the organic compound is ______________. (Nearest integer)[Atomic mass : Silver = 108,...

Which one of the following statements is not true about enzymes?

The hybridisations of the atomic orbitals of nitrogen in NO\(_2^ -\), NO\(_2^ +\) and NH\(_4^ +\) respectively are.

\(PC{l_5}(g) \to PC{l_3}(g) + C{l_2}(g)\)In the above first order reaction the concentration of PCl5 reduces from initial concentration 50 mol L\(-\)1 to 10 mol L\(-\)1 in 120 minutes at 300 K. The rate constant for the reaction at 300 K is...

In the above reactions, product A and product B respectively are :

Consider the above reaction, compound B is :

Spin only magnetic moment of an octahedral complex of Fe2+ in the presence of a strong field ligand in BM is :

Which one of the following species doesn't have a magnetic moment of 1.73 BM, (spin only value)?

An aqueous solution of NiCl2 was heated with excess sodium cyanide in presence of strong oxidizing agent to form [Ni(CN)6]2\(-\). The total change in number of unpaired electrons on metal centre is _______________.

Potassium chlorate is prepared by electrolysis of KCl in basic solution as shown by following equation.6OH\(-\) + Cl\(-\) \(\to\) ClO3\(-\) + 3H2O + 6e\(-\)A current of xA has to be passed for 10h to produce 10.0g of potassium chlorate. The...

Which one of the following gases is reported to retard photosynthesis?

Metallic sodium does not react normally with :

Benzene on nitration gives nitrobenzene in presence of HNO3 and H2SO4 mixture, where :

Major product P of above reaction, is :

The single largest industrial application of dihydrogen is :

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 addition does not change in volume and Ksp(AgCl) = 1.7 \(\times\) 10\(-\)10 M2 and Ksp(Ag2CrO4) = 1.9 \(\times\) 10\(-\)...

Consider two chemical reactions (A) and (B) that take place during metallurgical process:(A) \(ZnC{O_{3(s)}}\buildrel \Delta \over \longrightarrow Zn{O_{(s)}} + C{O_{2(g)}}\)(B) $$2Zn{S_{(s)}} + 3{O_{2(g)}}\buildrel \Delta \over
\longri...

Bakelite is a cross-linked polymer of formaldehyde and :

In Carius method, halogen containing organic compound is heated with fuming nitric acid in the presence of :

Cu2+ salt reacts with potassium iodide to give

Diamond has a three dimensional structure of C atoms formed by covalent bonds. The structure of diamond has face centred cubic lattice where 50% of the tetrahedral voids are also occupied by carbon atoms. The number of carbon atoms present...

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 the mole fraction of A in the mixture is 0.6, then the mole fraction of B in the vapour phase is x \(\times\) 10\(-\)1. ...

4g equimolar mixture of NaOH and Na2CO3 contains x g of NaOH and y g of Na2CO3. The value of x is ____________ g. (Nearest integer)

Outermost electronic configuration of a group 13 element, E, is 4s2, 4p1. The electronic configuration of an element of p-block period-five placed diagonally to element, E is :

The wavelength of electrons accelerated from rest through a potential difference of 40 kV is x \(\times\) 10\(-\)12 m. The value of x is ___________. (Nearest integer)Give : Mass of electron = 9.1 \(\times\) 10\(-\)31 kgCharge on an electro...

100 ml of 0.0018% (w/v) solution of Cl\(-\) ion was the minimum concentration of Cl\(-\) required to precipitate a negative sol in one h. The coagulating value of Cl\(-\) ion is _________ (Nearest integer)

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 reaction is 51.4 kJ mol\(-\)1. The entropy change of the reaction is _____________ JK\(-\)1 mol\(-\)1.

The lines x = ay \(-\) 1 = z \(-\) 2 and x = 3y \(-\) 2 = bz \(-\) 2, (ab \(\ne\) 0) are coplanar, if :

Consider the line L given by the equation \({{x - 3} \over 2} = {{y - 1} \over 1} = {{z - 2} \over 1}\). Let Q be the mirror image of the point (2, 3, \(-\)1) with respect to L. Let a plane P be such that it passes through Q, and the line L...

The sum of all the local minimum values of the twice differentiable function f : R \(\to\) R defined by \(f(x) = {x^3} - 3{x^2} - {{3f''(2)} \over 2}x + f''(1)\) is :

For the natural numbers m, n, if \({(1 - y)^m}{(1 + y)^n} = 1 + {a_1}y + {a_2}{y^2} + .... + {a_{m + n}}{y^{m + n}}\) and \({a_1} = {a_2} = 10\), then the value of (m + n) is equal to :

Let r1 and r2 be the radii of the largest and smallest circles, respectively, which pass through the point (\(-\)4, 1) and having their centres on the circumference of the circle x2 + y2 + 2x + 4y \(-\) 4 = 0. If $${{{r_1}} \over {{r_2}}} =...

If [x] denotes the greatest integer less than or equal to x, then the value of the integral \(\int_{ - \pi /2}^{\pi /2} {[[x] - \sin x]dx}\) is equal to :

If the real part of the complex number \({(1 - \cos \theta + 2i\sin \theta )^{ - 1}}\) is \({1 \over 5}\) for \(\theta \in (0,\pi )\), then the value of the integral \(\int_0^\theta {\sin x} dx\) is equal to:

Let \(g(t) = \int_{ - \pi /2}^{\pi /2} {\cos \left( {{\pi \over 4}t + f(x)} \right)} dx\), where \(f(x) = {\log _e}\left( {x + \sqrt {{x^2} + 1} } \right),x \in R\). Then which one of the following is correct?

Let y = y(x) satisfies the equation \({{dy} \over {dx}} - |A| = 0\), for all x > 0, where \(A = \left[ {\matrix{ y & {\sin x} & 1 \cr 0 & { - 1} & 1 \cr 2 & 0 & {{1 \over x}} \cr } } \right]\). If \(y(\pi ) = \pi + 2\), th...

Let a curve y = y(x) be given by the solution of the differential equation \(\cos \left( {{1 \over 2}{{\cos }^{ - 1}}({e^{ - x}})} \right)dx = \sqrt {{e^{2x}} - 1} dy\). If it intersects y-axis at y = \(-\)1, and the intersection point of t...

Let \(f:R - \left\{ {{\alpha \over 6}} \right\} \to R\) be defined by \(f(x) = {{5x + 3} \over {6x - \alpha }}\). Then the value of \(\alpha\) for which (fof)(x) = x, for all \(x \in R - \left\{ {{\alpha \over 6}} \right\}\), is :

Let in a right angled triangle, the smallest angle be \(\theta\). If a triangle formed by taking the reciprocal of its sides is also a right angled triangle, then sin\(\theta\) is equal to :

The value of \(\tan \left( {2{{\tan }^{ - 1}}\left( {{3 \over 5}} \right) + {{\sin }^{ - 1}}\left( {{5 \over {13}}} \right)} \right)\) is equal to :

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}\left[ {f(0) + f\left( {{5 \over n}} \right) + f\left( {{{10} \over n}} \right) + ...... + f\left( {{{5(n - 1)} \over n}} \...

Let a function g : [ 0, 4 ] \(\to\) R be defined as \(g(x) = \left\{ {\matrix{ {\mathop {\max }\limits_{0 \le t \le x} \{ {t^3} - 6{t^2} + 9t - 3),} & {0 \le x \le 3} \cr {4 - x,} & {3 < x \le 4} \cr } } \right.\), then the numb...

If \(\mathop {\lim }\limits_{x \to 0} {{\alpha x{e^x} - \beta {{\log }_e}(1 + x) + \gamma {x^2}{e^{ - x}}} \over {x{{\sin }^2}x}} = 10,\alpha ,\beta ,\gamma \in R\), then the value of \(\alpha\) + \(\beta\) + \(\gamma\) is _____________.

The number of solutions of the equation \({\log _{(x + 1)}}(2{x^2} + 7x + 5) + {\log _{(2x + 5)}}{(x + 1)^2} - 4 = 0\), x > 0, is :

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 (A) and (B) are true then 5 + 6 = 17.Then, which of the following statements is correct?

The value of k \(\in\)R, for which the following system of linear equations3x \(-\) y + 4z = 3,x + 2y \(-\) 3z = \(-\)26x + 5y + kz = \(-\)3,has infinitely many solutions, is :

Let \(A = \{ {a_{ij}}\}\) be a 3 \(\times\) 3 matrix, where \({a_{ij}} = \left\{ {\matrix{ {{{( - 1)}^{j - i}}} & {if} & {i < j,} \cr 2 & {if} & {i = j,} \cr {{{( - 1)}^{i + j}}} & {if} & {i > j} \cr } } \right.\) then $$\...