JEE Main 2021 (Online) 27th August Morning Shift

In the following sequence of reactions, the final product D is :

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R). Assertion (A) : Synthesis of ethyl phenyl ether may be achieved by Williamson synthesis.Reason (R) : Reaction of bromobenzene with so...

The structure of the starting compound P used in the reaction given below is :

Out of following isomeric forms of uracil, which one is present in RNA?

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

Match items of List-I with those of List-II :



List - I(Property)

List - II(Example)




(a)
Diamagnetism
(i)
MnO


(b)
Ferrimagnetism
(ii)
\({O_2}\)


(c)
Paramagneti...

The number of moles of NH3, that must be added to 2L of 0.80 M AgNO3 in order to reduce the concentration of Ag+ ions to 5.0 \(\times\) 10\(-\)8 M (Kformation for [Ag(NH3)2]+ = 1.0 \(\times\) 108) is ____________. (Nearest integer)[Assume n...

The reaction that occurs in a breath analyser, a device used to determine the alcohol level in a person's blood stream is $$2{K_2}C{r_2}{O_7} + 8{H_2}S{O_4} + 3{C_2}{H_6}O \to 2C{r_2}{(S{O_4})_3} + 3{C_2}{H_4}{O_2} + 2{K_2}S{O_4} + 11{H_2}O...

The correct statement about (A), (B), (C) and (D) is :

The major product of the following reaction is :

Which of the following is not a correct statement for primary aliphatic amines?

1 mol of an octahedral metal complex with formula MCl3 . 2L on reaction with excess of AgNO3 gives 1 mol of AgCl. The denticity of Ligand L is ____________. (Integer answer)

The nature of oxides V2O3 and CrO is indexed as 'X' and 'Y' type respectively. The correct set of X and Y is :

The number of f electrons in the ground state electronic configuration of Np (Z = 93) is ___________. (Nearest integer)

The gas 'A' is having very low reactivity reaches to stratosphere. It is non-toxic and non-flammable but dissociated by UV-radiations in stratosphere. The intermediates formed initially from the gas 'A' are :

The unit of the van der Waals gas equation parameter 'a' in \(\left( {P + {{a{n^2}} \over {{V^2}}}} \right)(V - nb) = nRT\) is :

In the following sequence of reactions the P is :

Deuterium resembles hydrogen in properties but :

Which refining process is generally used in the purification of low melting metals?

In which one of the following molecules strongest back donation of an electron pair from halide to boron is expected?

In polythionic acid, H2SxO6 (x = 3 to 5) the oxidation state(s) of sulphur is/are :

Acidic ferric chloride solution on treatment with excess of potassium ferrocyanide gives a Prussian blue coloured colloidal species. It is :

The number of moles of CuO, that will be utilized in Dumas method for estimation nitrogen in a sample of 57.5 g of N, N-dimethylaminopentane is _____________ \(\times\) 10\(-\)2. (Nearest integer)

When 10 mL of an aqueous solution of KMnO4 was titrated in acidic medium, equal volume of 0.1 M of an aqueous solution of ferrous sulphate was required for complete discharge of colour. The strength of KMnO4 in grams per litre is __________...

The number of water molecules in gypsum, dead burnt plaster and plaster of Paris, respectively are :

1 kg of 0.75 molal aqueous solution of sucrose can be cooled up to \(-\)4\(^\circ\)C before freezing. The amount of ice (in g) that will be separated out is __________. (Nearest integer)[Given : Kf(H2O) = 1.86 K kg mol\(-\)1]

In Carius method for estimation of halogens, 0.2 g of an organic compound gave 0.188 g of AgBr. The percentage of bromine in the compound is ______________. (Nearest integer)[Atomic mass : Ag = 108, Br = 80]

The kinetic energy of an electron in the second Bohr orbit of a hydrogen atom is equal to \({{{h^2}} \over {xma_0^2}}\). The value of 10x is ___________. (a0 is radius of Bohr's orbit) (Nearest integer) [Given : \(\pi\) = 3.14]

Tyndall effect is more effectively shown by :

200 mL of 0.2 M HCl is mixed with 300 mL of 0.1 M NaOH. The molar heat of neutralization of this reaction is \(-\)57.1 kJ. The increase in temperature in \(^\circ\)C of the system on mixing is x \(\times\) 10\(-\)2. The value of x is ______...

The distance of the point (1, \(-\)2, 3) from the plane x \(-\) y + z = 5 measured parallel to a line, whose direction ratios are 2, 3, \(-\)6 is :

Equation of a plane at a distance \(\sqrt {{2 \over {21}}}\) from the origin, which contains the line of intersection of the planes x \(-\) y \(-\) z \(-\) 1 = 0 and 2x + y \(-\) 3z + 4 = 0, is :

A wire of length 20 m is to be cut into two pieces. One of the pieces is to be made into a square and the other into a regular hexagon. Then the length of the side (in meters) of the hexagon, so that the combined area of the square and the ...

The number of distinct real roots of the equation 3x4 + 4x3 \(-\) 12x2 + 4 = 0 is _____________.

\(\sum\limits_{k = 0}^{20} {{{\left( {{}^{20}{C_k}} \right)}^2}}\) is equal to :

Let the equation x2 + y2 + px + (1 \(-\) p)y + 5 = 0 represent circles of varying radius r \(\in\) (0, 5]. Then the number of elements in the set S = {q : q = p2 and q is an integer} is __________.

If \(S = \left\{ {z \in C:{{z - i} \over {z + 2i}} \in R} \right\}\), then :

If \({U_n} = \left( {1 + {1 \over {{n^2}}}} \right)\left( {1 + {{{2^2}} \over {{n^2}}}} \right)^2.....\left( {1 + {{{n^2}} \over {{n^2}}}} \right)^n\), then \(\mathop {\lim }\limits_{n \to \infty } {({U_n})^{{{ - 4} \over {{n^2}}}}}\) is eq...

\(\int\limits_6^{16} {{{{{\log }_e}{x^2}} \over {{{\log }_e}{x^2} + {{\log }_e}({x^2} - 44x + 484)}}dx}\) is equal to :

Let y = y(x) be the solution of the differential equation \({{dy} \over {dx}} = 2(y + 2\sin x - 5)x - 2\cos x\) such that y(0) = 7. Then y(\(\pi\)) is equal to :

Let us consider a curve, y = f(x) passing through the point (\(-\)2, 2) and the slope of the tangent to the curve at any point (x, f(x)) is given by f(x) + xf'(x) = x2. Then :

If \({y^{1/4}} + {y^{ - 1/4}} = 2x\), and \(({x^2} - 1){{{d^2}y} \over {d{x^2}}} + \alpha x{{dy} \over {dx}} + \beta y = 0\), then | \(\alpha\) \(-\) \(\beta\) | is equal to __________.

If x2 + 9y2 \(-\) 4x + 3 = 0, x, y \(\in\) R, then x and y respectively lie in the intervals :

If the minimum area of the triangle formed by a tangent to the ellipse \({{{x^2}} \over {{b^2}}} + {{{y^2}} \over {4{a^2}}} = 1\) and the co-ordinate axis is kab, then k is equal to _______________.

If \(\int {{{dx} \over {{{({x^2} + x + 1)}^2}}} = a{{\tan }^{ - 1}}\left( {{{2x + 1} \over {\sqrt 3 }}} \right) + b\left( {{{2x + 1} \over {{x^2} + x + 1}}} \right) + C}\), x > 0 where C is the constant of integration, then the value of $$...

If \({({\sin ^{ - 1}}x)^2} - {({\cos ^{ - 1}}x)^2} = a\); 0 < x < 1, a \(\ne\) 0, then the value of 2x2 \(-\) 1 is :

If \(\alpha\), \(\beta\) are the distinct roots of x2 + bx + c = 0, then \(\mathop {\lim }\limits_{x \to \beta } {{{e^{2({x^2} + bx + c)}} - 1 - 2({x^2} + bx + c)} \over {{{(x - \beta )}^2}}}\) is equal to :

The statement (p \(\wedge\) (p \(\to\) q) \(\wedge\) (q \(\to\) r)) \(\to\) r is :

If the matrix \(A = \left( {\matrix{ 0 & 2 \cr K & { - 1} \cr } } \right)\) satisfies \(A({A^3} + 3I) = 2I\), then the value of K is :

If the system of linear equations2x + y \(-\) z = 3x \(-\) y \(-\) z = \(\alpha\)3x + 3y + \(\beta\)z = 3has infinitely many solution, then \(\alpha\) + \(\beta\) \(-\) \(\alpha\)\(\beta\) is equal to _____________.