JEE Main 2021 (Online) 18th March Evening Shift

In Tollen's test for aldehyde, the overall number of electron(s) transferred to the Tollen's reagent formula [Ag(NH3)2]+ per aldehyde group to form silver mirror is ___________. (Round off to the Nearest Integer).

Consider the above reaction, the product 'X' and 'Y' respectively are :

Consider the above reaction where 6.1 g of Benzoic acid is used to get 7.8 g of m-bromo benzoic acid. The percentage yield of the product is __________(Round off to the Nearest Integer).[Given : Atomic masses : C : 12.0 u, H : 1.0 u, O : 16...

In the following molecule,Hybridisation of Carbon a, b, and c respectively are :

Deficiency of vitamin K causes :

The number of species below that have two lone pairs of electrons in their central atom is _________. (Round off to the Nearest Integer).SF4, BF\(_4^ -\), ClF3, AsF3, PCl5, BrF5, XeF4, SF6

The gas phase reaction \(2A(g) \rightleftharpoons {A_2}(g)\) at 400 K has \(\Delta\)Go = + 25.2 kJ mol-1.The equilibrium constant KC for this reaction is ________ \(\times\) 10\(-\)2. (Round off to the Nearest Integer).[Use : R = 8.3 J mol$...

A reaction has a half life of 1 min. The time required for 99.9% completion of the reaction is _________ min. (Round off to the Nearest Integer). [Use : ln 2 = 0.69; ln 10 = 2.3]

Match List - I with List - II :



List - I(Class of Chemicals)

List - II(Example)




(a)
Antifertility drug
(i)
Meprobamate


(b)
Antibiotic
(ii)
Alitame


(c)
Tranqui...

An organic compound "A" on treatment with benzene sulphonyl chloride gives compound B. B is soluble in dil. NaOH solution. Compound A is :

Consider the given reaction, percentage yield of :

In the reaction of hypobromite with amide, the carbonyl carbon is lost as :

The secondary valency and the number of hydrogen bonded water molecule(s) in CuSO4 . 5H2O, respectively, are :

The oxide that shows magnetic property is :

The molar conductivities at infinite dilution of barium chloride, sulphuric acid and hydrochloric acid are 280, 860 and 426 S cm2 mol\(-\)1 respectively. The molar conductivity at infinite dilution of barium sulphate is _________ S cm2 mol$...

Given below are two statements :Statement I : Non-biodegradable wastes are generated by the thermal power plants.Statement II : Bio-degradable detergents leads to eutrophication.In the light of the above statements, choose the most appropri...

Main products formed during a reaction of 1-methoxy naphthalene with hydroiodic acid are :

Given below are two statements :Statement I : C2H5OH and AgCN both can generate nucleophile.Statement II : KCN and AgCN both will generate nitrile nucleophile with all reaction conditions.Choose the most appropriate option :

In basic medium, H2O2 exhibits which of the following reactions?(A) Mn2+ \(\to\) Mn4+(B) I2 \(\to\) I\(-\)(C) PbS \(\to\) PbSO4Choose the most appropriate answer from the options given below :

The solubility of CdSO4 in water is 8.0 \(\times\) 10\(-\)4 mol L\(-\)1. Its solubility in 0.01 M H2SO4 solution is __________ \(\times\) 10\(-\)6 mol L\(-\)1. (Round off to the Nearest Integer). (Assume that solubility is much less than 0....

Match List - I with List - II :



List - I

List - II




(a)
Mercury
(i)
Vapour phase refining


(b)
Copper
(ii)
Distillation refining


(c)
Silicon
(iii)
Elect...

A xenon compound 'A' upon partial hydrolysis gives XeO2F2. The number of lone pair of electrons present in compound A is _________. (Round off to the Nearest Integer)

The first ionization energy of magnesium is smaller as compared to that of elements X and Y, but higher than that of Z. The elements X, Y and Z, respectively, are :

The oxidation states of nitrogen in NO, NO2, N2O and NO\(_3^ -\) are in the order of :

Match List - I with List - II :



List - I

List - II




(a)
Be
(i)
treatment of cancer


(b)
Mg
(ii)
extraction of metals


(c)
Ca
(iii)
incendiary bombs and s...

A hard substance melts at high temperature and is an insulator in both solid and in molten state. This solid is most likely to be a/an :

A solute A dimerizes in water. The boiling point of a 2 molal solution of A is 100.52\(^\circ\)C. The percentage association of A is __________. (Round off to the Nearest Integer).[Use : Kb for water = 0.52 K kg mol\(-\)1 Boiling point of w...

10.0 mL of Na2CO3 solution is titrated against 0.2 M HCl solution. The following titre values were obtained in 5 readings :4.8 mL, 4.9 mL, 5.0 mL, 5.0 mL and 5.0 mLBased on these readings, and convention of titrimetric estimation the concen...

Given below are two statements :Statement I : Bohr's theory accounts for the stability and line spectrum of Li+ ion.Statement II : Bohr's theory was unable to explain the splitting of spectral lines in the presence of a magnetic field.In th...

The charges on the colloidal CdS sol and TiO2 sol are, respectively :

Let P be a plane containing the line \({{x - 1} \over 3} = {{y + 6} \over 4} = {{z + 5} \over 2}\) and parallel to the line \({{x - 1} \over 4} = {{y - 2} \over { - 3}} = {{z + 5} \over 7}\). If the point (1, \(-\)1, \(\alpha\)) lies on the...

Let the mirror image of the point (1, 3, a) with respect to the plane \(\overrightarrow r .\left( {2\widehat i - \widehat j + \widehat k} \right) - b = 0\) be (\(-\)3, 5, 2). Then, the value of | a + b | is equal to ____________.

The area bounded by the curve 4y2 = x2(4 \(-\) x)(x \(-\) 2) is equal to :

The term independent of x in the expansion of \({\left[ {{{x + 1} \over {{x^{2/3}} - {x^{1/3}} + 1}} - {{x - 1} \over {x - {x^{1/2}}}}} \right]^{10}}\), x \(\ne\) 1, is equal to ____________.

Let \({}^n{C_r}\) denote the binomial coefficient of xr in the expansion of (1 + x)n.
If \(\sum\limits_{k = 0}^{10} {({2^2} + 3k)} {}^{10}{C_k} = \alpha {.3^{10}} + \beta {.2^{10}},\alpha ,\beta \in R\), then \(\alpha\) + \(\beta\) is eq...

Let S1 : x2 + y2 = 9 and S2 : (x \(-\) 2)2 + y2 = 1. Then the locus of center of a variable circle S which touches S1 internally and S2 externally always passes through the points :

Let a complex number be w = 1 \(-\) \({\sqrt 3 }\)i. Let another complex number z be such that |zw| = 1 and arg(z) \(-\) arg(w) = \({\pi \over 2}\). Then the area of the triangle with vertices origin, z and w is equal to :

Let P(x) be a real polynomial of degree 3 which vanishes at x = \(-\)3. Let P(x) have local minima at x = 1, local maxima at x = \(-\)1 and \(\int\limits_{ - 1}^1 {P(x)dx}\) = 18, then the sum of all the coefficients of the polynomial P(x)...

Let g(x) = \(\int_0^x {f(t)dt}\), where f is continuous function in [ 0, 3 ] such that \({1 \over 3}\) \(\le\) f(t) \(\le\) 1 for all t\(\in\) [0, 1] and 0 \(\le\) f(t) \(\le\) \({1 \over 2}\) for all t\(\in\) (1, 3]. The largest p...

Let y = y(x) be the solution of the differential equation xdy \(-\) ydx = \(\sqrt {({x^2} - {y^2})} dx\), x \(\ge\) 1, with y(1) = 0. If the area bounded by the line x = 1, x = e\(\pi\), y = 0 and y = y(x) is \(\alpha\)e2\(\pi\) + $$\beta...

Let y = y(x) be the solution of the differential equation \({{dy} \over {dx}} = (y + 1)\left( {(y + 1){e^{{x^2}/2}} - x} \right)\), 0 < x < 2.1, with y(2) = 0. Then the value of \({{dy} \over {dx}}\) at x = 1 is equal to :

Let a tangent be drawn to the ellipse \({{{x^2}} \over {27}} + {y^2} = 1\) at \((3\sqrt 3 \cos \theta ,\sin \theta )\) where \(0 \in \left( {0,{\pi \over 2}} \right)\). Then the value of \(\theta\) such that the sum of intercepts on axes m...

If f(x) and g(x) are two polynomials such that the polynomial P(x) = f(x3) + x g(x3) is divisible by x2 + x + 1, then P(1) is equal to ___________.

Let f : R \(-\) {3} \(\to\) R \(-\) {1} be defined by f(x) = \({{x - 2} \over {x - 3}}\).Let g : R \(\to\) R be given as g(x) = 2x \(-\) 3. Then, the sum of all the values of x for which f\(-\)1(x) + g\(-\)1(x) = \({{13} \over 2}\) is e...

A pole stands vertically inside a triangular park ABC. Let the angle of elevation of the top of the pole from each corner of the park be \({\pi \over 3}\). If the radius of the circumcircle of \(\Delta\)ABC is 2, then the height of the pol...

Consider a hyperbola H : x2 \(-\) 2y2 = 4. Let the tangent at a point P(4, \({\sqrt 6 }\)) meet the x-axis at Q and latus rectum at R(x1, y1), x1 > 0. If F is a focus of H which is nearer to the point P, then the area of \(\Delta\)QFR is eq...

Let f : R \(\to\) R satisfy the equation f(x + y) = f(x) . f(y) for all x, y \(\in\)R and f(x) \(\ne\) 0 for any x\(\in\)R. If the function f is differentiable at x = 0 and f'(0) = 3, then $$\mathop {\lim }\limits_{h \to 0} {1 \over h}(f(...

Let f : R \(\to\) R be a function defined as$$f(x) = \left\{ \matrix{
{{\sin (a + 1)x + \sin 2x} \over {2x}},if\,x < 0 \hfill \cr
b,\,if\,x\, = 0 \hfill \cr
{{\sqrt {x + b{x^3}} - \sqrt x } \over {b{x^{5/2}}}},\,if\,x > 0 \hfill ...

If P and Q are two statements, then which of the following compound statement is a tautology?

Let I be an identity matrix of order 2 \(\times\) 2 and P = \(\left[ {\matrix{ 2 & { - 1} \cr 5 & { - 3} \cr } } \right]\). Then the value of n\(\in\)N for which Pn = 5I \(-\) 8P is equal to ____________.