JEE Main 2021 (Online) 25th February Evening Shift

What is 'X' in the given reaction?

The major product of the following reaction is :

The number of compound/s given below which contain/s -COOH group is __________. (Integer answer)(A) Sulphanilic acid(B) Picric acid(C) Aspirin(D) Ascorbic acid

The correct order of acid character of the following compounds is :

Which of the following is correct structure of \(\alpha\)-anomer of maltose?

Which among the following species has unequal bond lengths?

The rate constant of a reaction increases by five times on increase in temperature from 27\(^\circ\)C to 52\(^\circ\)C. The value of activation energy in kJ mol\(-\)1 is _________. (Rounded off to the nearest integer)[R = 8.314 J K\(-\)1mol...

Carbylamine test is used to detect the presence of primary amino group in an organic compound. Which of the following compound is formed when this test is performed with aniline?

Correct statement about the given chemical reaction is :

The spin only magnetic moment of a divalent ion in aqueous solution (atomic number 29) is _________ BM.

In which of the following order the given complex ions are arranged correctly with respect to their decreasing spin only magnetic moment?(i) [FeF6]3\(-\)(ii) [Co(NH3)6]3+(iii) [NiCl4]2\(-\)(iv) [Cu(NH3)4]2+

Copper reduces NO\(_3^ -\) into NO and NO2 depending upon the concentration of HNO3 in solution. (Assuming fixed [Cu2+] and PNO = PNO2), the HNO3 concentration at which the thermodynamic tendency for reduction of NO\(_3^ -\) into NO and N...

Given below are two statements :Statement I : The pH of rain water is normally 5.6.Statement II : If the pH of rain water drops below 5.6, it is called acid rain.In the light of the above statements, choose the correct answer from the optio...

The major product of the following reaction is :

The correct sequence of reagents used in the preparation of 4-bromo-2-nitroethyl benzene from benzene is :

Water does not produce CO on reacting with :

The solubility of Ca(OH)2 in water is :[Given : The solubility product of Ca(OH)2 in water = 5.5 \(\times\) 10\(-\)6]

The major components of German Silver are :

The method used for the purification of Indium is :

Given below are two statements :Statement I : \(\alpha\) and \(\beta\) forms of sulphur can change reversibly between themselves with slow heating or slow cooling.Statement II : At room temperature the stable crystalline form of sulphur is ...

The correct order of bond dissociation enthalpy of halogens is :

Consider titration of NaOH solution versus 1.25 M oxalic acid solution. At the end point following burette readings were obtained.(i) 4.5 mL(ii) 4.5 mL(iii) 4.4 mL(iv) 4.4 mL(v) 4.4 mLIf the volume of oxalic acid taken was 10.0 mL then the ...

Which of the following compound is added to the sodium extract before addition of silver nitrate for testing of halogens?

Given below are two statements :Statement I : The identification of Ni2+ is carried out by dimethyl glyoxime in the presence of NH4OH. Statement II : The dimethyl glyoxime is a bidentate neutral ligand.In the light of the above statements, ...

The unit cell of copper corresponds to a face centered cube of edge length 3.596 \(\mathop A\limits^o\) with one copper atom at each lattice point. The calculated density of copper in kg/m3 is ___________. [Molar mass of Cu : 63.54 g; Avog...

If a compound AB dissociates to the extent of 75% in an aqueous solution, the molality of the solution which shows a 2.5 K rise in the boiling point of the solution is ____________ molal. (Rounded off to the nearest integer)[Kb = 0.52 K kg ...

Among the following, number of metal/s which can be used as electrodes in the photoelectric cell is _________. (Integer answer)(A) Li(B) Na(C) Rb(D) Cs

Electromagnetic radiation of wavelength 663 nm is just sufficient to ionise the atom of metal A. The ionization enegy of metal A in kJ mol\(-\)1 is __________. (Rounded off to the nearest integer)[h = 6.63 \(\times\) 10\(-\)34 Js, c = 3.00 ...

Which one of the following statements is FALSE for hydrophilic sols?

Five moles of an ideal gas at 293 K is expanded isothermally from an initial pressure of 2.1 MPa to 1.3 MPa against at constant external pressure 4.3 MPa. The heat transferred in this process is _________ kJ mol\(-\)1. (Rounded off to the n...

A line 'l' passing through origin is perpendicular to the lines\({l_1}:\overrightarrow r = (3 + t)\widehat i + ( - 1 + 2t)\widehat j + (4 + 2t)\widehat k\)$${l_2}:\overrightarrow r = (3 + 2s)\widehat i + (3 + 2s)\widehat j + (2 + s)\wideh...

A plane passes through the points A(1, 2, 3), B(2, 3, 1) and C(2, 4, 2). If O is the origin and P is (2, \(-\)1, 1), then the projection of \(\overrightarrow {OP}\) on this plane is of length :

If the curves x = y4 and xy = k cut at right angles, then (4k)6 is equal to __________.

If the remainder when x is divided by 4 is 3, then the remainder when (2020 + x)2022 is divided by 8 is __________.

The total number of two digit numbers 'n', such that 3n + 7n is a multiple of 10, is __________.

If \(\alpha\), \(\beta\) \(\in\) R are such that 1 \(-\) 2i (here i2 = \(-\)1) is a root of z2 + \(\alpha\)z + \(\beta\) = 0, then (\(\alpha\) \(-\) \(\beta\)) is equal to :

The value of \(\int\limits_{ - 2}^2 {|3{x^2} - 3x - 6|dx}\) is ___________.

\(\mathop {\lim }\limits_{n \to \infty } \left[ {{1 \over n} + {n \over {{{(n + 1)}^2}}} + {n \over {{{(n + 2)}^2}}} + ........ + {n \over {{{(2n + 1)}^2}}}} \right]\) is equal to :

If \({I_n} = \int\limits_{{\pi \over 4}}^{{\pi \over 2}} {{{\cot }^n}x\,dx}\), then :

If the curve, y = y(x) represented by the solution of the differential equation (2xy2 \(-\) y)dx + xdy = 0, passes through the intersection of the lines, 2x \(-\) 3y = 1 and 3x + 2y = 8, then |y(1)| is equal to _________.

If the curve x2 + 2y2 = 2 intersects the line x + y = 1 at two points P and Q, then the angle subtended by the line segment PQ at the origin is :

Let x denote the total number of one-one functions from a set A with 3 elements to a set B with 5 elements and y denote the total number of one-one functions form the set A to the set A \(\times\) B. Then :

A function f(x) is given by \(f(x) = {{{5^x}} \over {{5^x} + 5}}\), then the sum of the series $$f\left( {{1 \over {20}}} \right) + f\left( {{2 \over {20}}} \right) + f\left( {{3 \over {20}}} \right) + ....... + f\left( {{{39} \over {20}}} ...

A hyperbola passes through the foci of the ellipse \({{{x^2}} \over {25}} + {{{y^2}} \over {16}} = 1\) and its transverse and conjugate axes coincide with major and minor axes of the ellipse, respectively. If the product of their eccentrici...

The integral \(\int {{{{e^{3{{\log }_e}2x}} + 5{e^{2{{\log }_e}2x}}} \over {{e^{4{{\log }_e}x}} + 5{e^{3{{\log }_e}x}} - 7{e^{2{{\log }_e}x}}}}} dx\), x > 0, is equal to : (where c is a constant of integration)

cosec\(\left[ {2{{\cot }^{ - 1}}(5) + {{\cos }^{ - 1}}\left( {{4 \over 5}} \right)} \right]\) is equal to :

If \(\mathop {\lim }\limits_{x \to 0} {{ax - ({e^{4x}} - 1)} \over {ax({e^{4x}} - 1)}}\) exists and is equal to b, then the value of a \(-\) 2b is __________.

A function f is defined on [\(-\)3, 3] as\(f(x) = \left\{ {\matrix{ {\min \{ |x|,2 - {x^2}\} ,} & { - 2 \le x \le 2} \cr {[|x|],} & {2 < |x| \le 3} \cr } } \right.\) where [x] denotes the greatest integer \(\le\) x. The number...

The contrapositive of the statement "If you will work, you will earn money" is :

The following system of linear equations2x + 3y + 2z = 93x + 2y + 2z = 9x \(-\) y + 4z = 8