JEE Main 2021 (Online) 1st September Evening Shift

Experimentally reducing a functional group cannot be done by which one of the following reagents?

In the following sequence of reactions a compound A, (molecular formula C6H12O2) with a straight chain structure gives a C4 carboxylic acid. A is :

Given below are two statements :Statement I : The nucleophilic addition of sodium hydrogen sulphite to an aldehyde or a ketone involves proton transfer to form a stable ion.Statement II : The nucleophilic addition of hydrogen cyanide to an ...

Which one of the following compounds is aromatic in nature?

A peptide synthesized by the reactions of one molecule each of Glycine, Leucine, Aspartic acid and Histidine will have _________ peptide linkages.

Number of paramagnetic oxides among the following given oxides is ____________.Li2O, CaO, Na2O2, KO2, MgO and K2O

The spin-only magnetic moment value of \(B_2^ +\) species is _____________ \(\times\) 10\(-\)2 BM. (Nearest integer) [Given : \(\sqrt 3\) = 1.73]

Which one of the following given graphs represents the variation of rate constant (k) with temperature (T) for an endothermic reaction?

Identify A in the following reaction.

Which one of the following gives the most stable Diazonium salt?

The Crystal Field Stabilization Energy (CFSE) and magnetic moment (spin-only) of an octahedral aqua complex of a metal ion (Mz+) are \(-\)0.8 \(\Delta\)0 and 3.87 BM, respectively. Identify (Mz+) :

The potassium ferrocyanide solution gives a Prussian blue colour, when added to :

The sum of oxidation states of two silver ions in [Ag(NH3)2] [Ag(CN)2] complex is _____________.

In the given chemical reaction, colors of the Fe2+ and Fe3+ ions, are respectively :5Fe2+ + MnO\(_4^ -\) + 8H+ \(\to\) Mn2+ + 4H2O + 5Fe3+

Identify the element for which electronic configuration in +3 oxidation state is [Ar]3d5 :

If the conductivity of mercury at 0\(^\circ\)C is 1.07 \(\times\) 106 S m\(-\)1 and the resistance of a cell containing mercury is 0.243\(\Omega\), then the cell constant of the cell is x \(\times\) 104 m\(-\)1. The value of x is __________...

Water sample is called cleanest on the basis of which one of the BOD values given below :

An empty LPG cylinder weighs 14.8 kg. When full, it weighs 29.0 kg and shows a pressure of 3.47 atm. In the course of use at ambient temperature, the mass of the cylinder is reduced to 23.0 kg. The final pressure inside of the cylinder is _...

In the following sequence of reactions,The compounds B and C respectively are :-

The stereoisomers that are formed by electrophilic addition of bromine to trans-but-2-ene is/are :

Hydrogen peroxide reacts with iodine in basic medium to give :

The molar solubility of Zn(OH)2 in 0.1 M NaOH solution is x \(\times\) 10\(-\)18 M. The value of x is _________ (Nearest integer)(Given : The solubility product of Zn(OH)2 is 2 \(\times\) 10\(-\)20)

Calamine and Malachite, respectively, are the ores of :

The oxide without nitrogen-nitrogen bond is :

Monomer units of Dacron polymer are :

The number of atoms in 8g of sodium is x \(\times\) 1023. The value of x is ____________. (Nearest integer)[Given : NA = 6.02 \(\times\) 1023 mol\(-\)1Atomic mass of Na = 23.0 u]

If 80 g of copper sulphate CuSO4 . 5H2O is dissolved in deionised water to make 5L of solution. The concentration of the copper sulphate solution is x \(\times\) 10\(-\)3 mol L\(-\)1. The value of x is _____________.[Atomic masses Cu : 63.5...

A 50 watt bulb emits monochromatic red light of wavelength of 795 nm. The number of photons emitted per second by the bulb is x \(\times\) 1020. The value of x is __________. [Given : h = 6.63 \(\times\) 10\(-\)34 Js and c = 3.0 \(\times\) ...

Match List - I with List - II :
Choose the most appropriate answer from the options given below.

For the reaction, 2NO2(g) \(\rightleftharpoons\) N2O4(g), when \(\Delta\)S = \(-\)176.0 JK\(-\)1 and \(\Delta\)H = \(-\)57.8 kJ mol\(-\)1, the magnitude of \(\Delta\)G at 298 K for the reaction is ___________ kJ mol\(-\)1. (Nearest integer)

Let the acute angle bisector of the two planes x \(-\) 2y \(-\) 2z + 1 = 0 and 2x \(-\) 3y \(-\) 6z + 1 = 0 be the plane P. Then which of the following points lies on P?

The distance of line \(3y - 2z - 1 = 0 = 3x - z + 4\) from the point (2, \(-\)1, 6) is :

The function \(f(x) = {x^3} - 6{x^2} + ax + b\) is such that \(f(2) = f(4) = 0\). Consider two statements :Statement 1 : there exists x1, x2 \(\in\)(2, 4), x1 < x2, such that f'(x1) = \(-\)1 and f'(x2) = 0.Statement 2 : there exists x3, x4 ...

The area, enclosed by the curves \(y = \sin x + \cos x\) and \(y = \left| {\cos x - \sin x} \right|\) and the lines \(x = 0,x = {\pi \over 2}\), is :

If the sum of the coefficients in the expansion of (x + y)n is 4096, then the greatest coefficient in the expansion is _____________.

If for the complex numbers z satisfying | z \(-\) 2 \(-\) 2i | \(\le\) 1, the maximum value of | 3iz + 6 | is attained at a + ib, then a + b is equal to ______________.

Let f : R \(\to\) R be a continuous function. Then \(\mathop {\lim }\limits_{x \to {\pi \over 4}} {{{\pi \over 4}\int\limits_2^{{{\sec }^2}x} {f(x)\,dx} } \over {{x^2} - {{{\pi ^2}} \over {16}}}}\) is equal to :

Let \({J_{n,m}} = \int\limits_0^{{1 \over 2}} {{{{x^n}} \over {{x^m} - 1}}dx}\), \(\forall\) n > m and n, m \(\in\) N. Consider a matrix \(A = {[{a_{ij}}]_{3 \times 3}}\) where $${a_{ij}} = \left\{ {\matrix{
{{j_{6 + i,3}} - {j_{i + 3,3...

The function f(x), that satisfies the condition \(f(x) = x + \int\limits_0^{\pi /2} {\sin x.\cos y\,f(y)\,dy}\), is :

If y = y(x) is the solution curve of the differential equation \({x^2}dy + \left( {y - {1 \over x}} \right)dx = 0\) ; x > 0 and y(1) = 1, then \(y\left( {{1 \over 2}} \right)\) is equal to :

Let \(\theta\) be the acute angle between the tangents to the ellipse \({{{x^2}} \over 9} + {{{y^2}} \over 1} = 1\) and the circle \({x^2} + {y^2} = 3\) at their point of intersection in the first quadrant. Then tan\(\theta\) is equal to :

The range of the function, $$f(x) = {\log _{\sqrt 5 }}\left( {3 + \cos \left( {{{3\pi } \over 4} + x} \right) + \cos \left( {{\pi \over 4} + x} \right) + \cos \left( {{\pi \over 4} - x} \right) - \cos \left( {{{3\pi } \over 4} - x} \right...

\({\cos ^{ - 1}}(\cos ( - 5)) + {\sin ^{ - 1}}(\sin (6)) - {\tan ^{ - 1}}(\tan (12))\) is equal to :(The inverse trigonometric functions take the principal values)

Let \(f(x) = {x^6} + 2{x^4} + {x^3} + 2x + 3\), x \(\in\) R. Then the natural number n for which \(\mathop {\lim }\limits_{x \to 1} {{{x^n}f(1) - f(x)} \over {x - 1}} = 44\) is __________.

Let [t] denote the greatest integer \(\le\) t. The number of points where the function \(f(x) = [x]\left| {{x^2} - 1} \right| + \sin \left( {{\pi \over {[x] + 3}}} \right) - [x + 1],x \in ( - 2,2)\) is not continuous is _____________.

Which of the following is equivalent to the Boolean expression p \(\wedge\) \(\sim\) q ?

Consider the system of linear equations\(-\)x + y + 2z = 03x \(-\) ay + 5z = 12x \(-\) 2y \(-\) az = 7Let S1 be the set of all a\(\in\)R for which the system is inconsistent and S2 be the set of all a\(\in\)R for which the system has infini...

Consider the parabola with vertex \(\left( {{1 \over 2},{3 \over 4}} \right)\) and the directrix \(y = {1 \over 2}\). Let P be the point where the parabola meets the line \(x = - {1 \over 2}\). If the normal to the parabola at P intersects...

Let P1, P2, ......, P15 be 15 points on a circle. The number of distinct triangles formed by points Pi, Pj, Pk such that i +j + k \(\ne\) 15, is :

All the arrangements, with or without meaning, of the word FARMER are written excluding any word that has two R appearing together. The arrangements are listed serially in the alphabetic order as in the English dictionary. Then the serial n...