JEE Main 2021 (Online) 22th July Evening Shift

Which of the following compounds will provide a tertiary alcohol or reaction with excess of CH3MgBr followed by hydrolysis?

An organic compound A (C6H6O) gives dark green colouration with ferric chloride. On treatment with CHCl3 and KOH, followed by acidification gives compound B. Compound B can also be obtained from compound C on reaction with pyridinium chloro...

Which purification technique is used for high boiling organic liquid compound (decomposes near its boiling point)?

Which of the following compounds does not exhibit resonance?

Which of the following molecules does not show stereo isomerism?

The number of acyclic structural isomers (including geometrical isomers) for pentene are ___________

Thiamine and pyridoxine are also known respectively as :

Match List-I with List-II :



List-I(Species)

List-II(Hybrid Orbitals)




(a)
\(S{F_4}\)
(i)
\(s{p^3}{d^2}\)


(b)
\(I{F_5}\)
(ii)
\({d^2}s{p^3}\)


(c)
\(NO_2^ +\)
...

Value of KP for the equilibrium reactionN2O4(g) \(\rightleftharpoons\) 2NO2(g) at 288 K is 47.9. The KC for this reaction at same temperature is ____________. (Nearest integer)(R = 0.083 L bar K\(-\)1 mol\(-\)1)

Isotope(s) of hydrogen which emits low energy \(\beta\)\(-\) particles with t1/2 value > 12 years is/are

\({N_2}{O_{5(g)}} \to 2N{O_{2(g)}} + {1 \over 2}{O_{2(g)}}\)In the above first order reaction the initial concentration of N2O5 is 2.40 \(\times\) 10\(-\)2 mol L\(-\)1 at 318 K. The concentration of N2O5 after 1 hour was 1.60 \(\times\) 10$...

In the chemical reactions given above A and B respectively are :

Which one of the following reactions does not occur?

The total number of unpaired electrons present in [Co(NH3)6]Cl2 and [Co(NH3)6]Cl3 is :

The set having ions which are coloured and paramagnetic both is :

Number of electrons that Vanadium (Z = 23) has in p-orbitals is equal to _____________

Assume a cell with the following reaction\(C{u_{(s)}} + 2A{g^ + }(1 \times {10^{ - 3}}M) \to C{u^{2 + }}(0.250M) + 2A{g_{(s)}}\)\(E_{cell}^\Theta = 2.97\) VEcell for the above reaction is ______________ V. (Nearest integer)[Given : log 2.5...

The water having more dissolved O2 is :

Sulphide ion is soft base and its ores are common for metals.(a) Pb (b) Al (c) Ag (d) Mg

Given below are the statements about diborane(a) Diborane is prepared by the oxidation of NaBH4 with I2(b) Each boron atom is in sp2 hybridized state(c) Diborane has one bridged 3 centre-2-electron bond(d) Diborane is a planar moleculeThe o...

Which one of the following group-15 hydride is the strongest reducing agent?

Which one of the following statements for D.I. Mendeleeff, is incorrect?

Match List-I with List-II :Choose the correct answer from the options given below :

Methylation of 10 g of benzene gave 9.2 g of toluene. Calculate the percentage yield of toluene __________. (Nearest integer)

Match List-I with List-II



List-I(Elements)

List-II(Properties)




(a)
Ba
(i)
Organic solvent soluble compounds


(b)
Ca
(ii)
Outer electronic configuration \(6{s^2}\)


...

A copper complex crystallising in a CCP lattice with a cell edge of 0.4518 nm has been revealed by employing X-ray diffraction studies. The density of a copper complex is found to be 7.62 g cm\(-\)3. The molar mass of copper complex is ____...

Which one of the following 0.06 M aqueous solutions has lowest freezing point?

If the concentration of glucose (C6H12O6) in blood is 0.72 g L\(-\)1, the molarity of glucose in blood is ____________ \(\times\) 10\(-\)3 M. (Nearest integer)[Given : Atomic mass of C = 12, H = 1, O = 16 u]

When silver nitrate solution is added to potassium iodide solution then the sol produced is :

If the standard molar enthalpy change for combustion of graphite powder is \(-\)2.48 \(\times\) 102 kJ mol\(-\)1, the amount of heat generated on combustion of 1 g of graphite powder is ___________ kJ. (Nearest integer)

Let L be the line of intersection of planes \(\overrightarrow r .(\widehat i - \widehat j + 2\widehat k) = 2\) and \(\overrightarrow r .(2\widehat i + \widehat j - \widehat k) = 2\). If \(P(\alpha ,\beta ,\gamma )\) is the foot of perpendic...

If the shortest distance between the straight lines \(3(x - 1) = 6(y - 2) = 2(z - 1)\) and \(4(x - 2) = 2(y - \lambda ) = (z - 3),\lambda \in R\) is \({1 \over {\sqrt {38} }}\), then the integral value of \(\lambda\) is equal to :

Let f : R \(\to\) R be defined as\(f(x) = \left\{ {\matrix{ { - {4 \over 3}{x^3} + 2{x^2} + 3x,} & {x > 0} \cr {3x{e^x},} & {x \le 0} \cr } } \right.\). Then f is increasing function in the interval

The area (in sq. units) of the region bounded by the curves x2 + 2y \(-\) 1 = 0, y2 + 4x \(-\) 4 = 0 and y2 \(-\) 4x \(-\) 4 = 0, in the upper half plane is _______________.

If the constant term, in binomial expansion of \({\left( {2{x^r} + {1 \over {{x^2}}}} \right)^{10}}\) is 180, then r is equal to __________________.

The number of elements in the set {n \(\in\) {1, 2, 3, ......., 100} | (11)n > (10)n + (9)n} is ______________.

Let the circle S : 36x2 + 36y2 \(-\) 108x + 120y + C = 0 be such that it neither intersects nor touches the co-ordinate axes. If the point of intersection of the lines, x \(-\) 2y = 4 and 2x \(-\) y = 5 lies inside the circle S, then :

Let n denote the number of solutions of the equation z2 + 3\(\overline z\) = 0, where z is a complex number. Then the value of \(\sum\limits_{k = 0}^\infty {{1 \over {{n^k}}}}\) is equal to :

If \(\int\limits_0^{100\pi } {{{{{\sin }^2}x} \over {{e^{\left( {{x \over \pi } - \left[ {{x \over \pi }} \right]} \right)}}}}dx = {{\alpha {\pi ^3}} \over {1 + 4{\pi ^2}}},\alpha \in R}\) where [x] is the greatest integer less than or eq...

Let y = y(x) be the solution of the differential equation \(\cos e{c^2}xdy + 2dx = (1 + y\cos 2x)\cos e{c^2}xdx\), with \(y\left( {{\pi \over 4}} \right) = 0\). Then, the value of \({(y(0) + 1)^2}\) is equal to :

Let y = y(x) be the solution of the differential equation \(\left( {(x + 2){e^{\left( {{{y + 1} \over {x + 2}}} \right)}} + (y + 1)} \right)dx = (x + 2)dy\), y(1) = 1. If the domain of y = y(x) is an open interval (\(\alpha\), \(\beta\)), t...

Let \({E_1}:{{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1,a > b\). Let E2 be another ellipse such that it touches the end points of major axis of E1 and the foci of E2 are the end points of minor axis of E1. If E1 and E2 have same e...

Let A = {0, 1, 2, 3, 4, 5, 6, 7}. Then the number of bijective functions f : A \(\to\) A such that f(1) + f(2) = 3 \(-\) f(3) is equal to

Let a line L : 2x + y = k, k > 0 be a tangent to the hyperbola x2 \(-\) y2 = 3. If L is also a tangent to the parabola y2 = \(\alpha\)x, then \(\alpha\) is equal to :

If the domain of the function \(f(x) = {{{{\cos }^{ - 1}}\sqrt {{x^2} - x + 1} } \over {\sqrt {{{\sin }^{ - 1}}\left( {{{2x - 1} \over 2}} \right)} }}\) is the interval (\(\alpha\), \(\beta\)], then \(\alpha\) + \(\beta\) is equal to :

Let f : R \(\to\) R be defined as $$f(x) = \left\{ {\matrix{
{{{{x^3}} \over {{{(1 - \cos 2x)}^2}}}{{\log }_e}\left( {{{1 + 2x{e^{ - 2x}}} \over {{{(1 - x{e^{ - x}})}^2}}}} \right),} & {x \ne 0} \cr
{\alpha ,} & {x = 0} \cr

} } ...

Let f : R \(\to\) R be a function defined as \(f(x) = \left\{ {\matrix{ {3\left( {1 - {{|x|} \over 2}} \right)} & {if} & {|x|\, \le 2} \cr 0 & {if} & {|x|\, > 2} \cr } } \right.\)Let g : R \(\to\) R be given by $$g(x) = f(x + 2)...

Which of the following Boolean expressions is not a tautology?

The values of \(\lambda\) and \(\mu\) such that the system of equations \(x + y + z = 6\), \(3x + 5y + 5z = 26\), \(x + 2y + \lambda z = \mu\) has no solution, are :

Let A = [aij] be a real matrix of order 3 \(\times\) 3, such that ai1 + ai2 + ai3 = 1, for i = 1, 2, 3. Then, the sum of all the entries of the matrix A3 is equal to :