JEE Main 2021 (Online) 27th July Evening Shift

Consider the above reaction, the major product "P" formed is :

Consider the above reaction, and choose the correct statement :

Given below are two statements :Statement I : Hyperconjugation is a permanent effect.Statement II : Hyperconjugation in ethyl cation \(\left( {C{H_3} - \mathop C\limits^ + {H_2}} \right)\) involves the overlapping of $${C_{s{p^2}}} - {H_{1...

The dihedral angle in staggered form of Newman projection of 1, 1, 1-Trichloro ethane is ___________ degree. (Round off to the nearest integer)

Compound A gives D-Galactose and D-Glucose on hydrolysis. The compound A is :

The total number of electrons in all bonding molecular orbitals of \(O_2^{2 - }\) is ______________.(Round off to the nearest integer)

The equilibrium constant for the reactionA(s) \(\rightleftharpoons\) M(s) + \({1 \over 2}\)O2(g)is Kp = 4. At equilibrium, the partial pressure of O2 is _________ atm. (Round off to the nearest integer)

For the first order reaction A \(\to\) 2B, 1 mole of reactant A gives 0.2 moles of B after 100 minutes. The half life of the reaction is __________ min. (Round off to the nearest integer).[Use : ln 2 = 0.69, ln 10 = 2.3]Properties of logari...

Given below are two statements :Statement I : Penicillin is a bacteriostatic type antibiotic.Statement II : The general structure of Penicillin is :Choose the correct option :

\(R - CN\mathrel{\mathop{\kern0pt\longrightarrow} \limits_{(ii){H_2}O}^{(i)DIBAL - H}} R - Y\)Consider the above reaction and identify "Y"

What is A in the following reaction?

Given below are two statements :Statement I : \({[Mn{(CN)_6}]^{3 - }}\), \({[Fe{(CN)_6}]^{3 - }}\) and \({[Co{({C_2}{O_4})_3}]^{3 - }}\) are d2sp3 hybridised.Statement II : \({[MnCl)_6}{]^{3 - }}\) and \({[Fe{F_6}]^{3 - }}\) are paramagneti...

3 moles of metal complex with formula Co(en)2Cl3 gives 3 moles of silver chloride on treatment with excess of silver nitrate. The secondary valency of Co in the complex is ___________.(Round off to the nearest integer)

For the cellCu(s) | Cu2+ (aq) (0.1 M) || Ag+(aq) (0.01 M) | Ag(s)the cell potential E1 = 0.3095 VFor the cellCu(s) | Cu2+ (aq) (0.01 M) || Ag+(aq) (0.001 M) | Ag(s)the cell potential = ____________ \(\times\) 10\(-\)2 V. (Round off the near...

The correct sequence of correct reagents for the following transformation is :

The number of neutrons and electrons, respectively, present in the radioactive isotope of hydrogen is :

Which one of the following set of elements can be detected using sodium fusion extract?

The addition of silica during the extraction of copper from its sulphide ore :-

Given below are two statement : one is labelled as Assertion A and the other is labelled as Reason R. Assertion A : SO2(g) is absorbed to a large extent than H2(g) on activated charcoal.Reason R : SO2(g) has a higher critical temperature t...

Match List - I with List - II :
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Number of Cl = O bonds in chlorous acid, chloric acid and perchloric acid respectively are :

The correct order of first ionisation enthalpy is :

10.0 mL of 0.05 M KMnO4 solution was consumed in a titration with 10.0 mL of given oxalic acid dihydrate solution. The strength of given oxalic acid solution is _________ \(\times\) 10\(-\)2 g/L.(Round off to the nearest integer)

Match List - I with List - II :
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.tg td{border-color:black;border-style:solid;border-width:1px;font-family:Arial, sans-serif;font-size:14px;
overflow:hidden;padding:10px 5px;word-break:norm...

To an aqueous solution containing ions such as Al3+, Zn2+, Ca2+, Fe3+, Ni2+, Ba2+ and Cu2+ was added conc. HCl, followed by H2S.The total number of cations precipitated during this reaction is/are :

Select the correct statements(A) Crystalline solids have long range order.(B) Crystalline solids are isotropic(C) Amorphous solid are sometimes called pseudo solids.(D) Amorphous solids soften over a range of temperatures.(E) Amorphous soli...

In a solvent 50% of an acid HA dimerizes and the rest dissociates. The van't Hoff factor of the acid is __________ \(\times\) 10\(-\)2.(Round off to the nearest integer)

2SO2(g) + O2(g) \(\to\) 2SO3(g)The above reaction is carried out in a vessel starting with partial pressure PSO2 = 250 m bar, PO2 = 750 m bar and PSO3 = 0 bar. When the reaction is complete, the total pressure in the reaction vessel is ____...

If the Thompson model of the atom was correct, then the result of Rutherford's gold foil experiment would have been :

When 400 mL of 0.2 M H2SO4 solution is mixed with 600 mL of 0.1 M NaOH solution, the increase in temperature of the final solution is __________ \(\times\) 10\(-\)2 K. (Round off to the nearest integer).[Use : H+ (aq) + OH\(-\) (aq) \(\to\)...

For real numbers \(\alpha\) and \(\beta\) \(\ne\) 0, if the point of intersection of the straight lines\({{x - \alpha } \over 1} = {{y - 1} \over 2} = {{z - 1} \over 3}\) and $${{x - 4} \over \beta } = {{y - 6} \over 3} = {{z - 7} \over 3}$...

The distance of the point P(3, 4, 4) from the point of intersection of the line joining the points. Q(3, \(-\)4, \(-\)5) and R(2, \(-\)3, 1) and the plane 2x + y + z = 7, is equal to ______________.

The area of the region bounded by y \(-\) x = 2 and x2 = y is equal to :

A possible value of 'x', for which the ninth term in the expansion of \({\left\{ {{3^{{{\log }_3}\sqrt {{{25}^{x - 1}} + 7} }} + {3^{\left( { - {1 \over 8}} \right){{\log }_3}({5^{x - 1}} + 1)}}} \right\}^{10}}\) in the increasing powers of...

Consider a circle C which touches the y-axis at (0, 6) and cuts off an intercept \(6\sqrt 5\) on the x-axis. Then the radius of the circle C is equal to :

Let C be the set of all complex numbers. LetS1 = {z\(\in\)C : |z \(-\) 2| \(\le\) 1} and S2 = {z\(\in\)C : z(1 + i) + \(\overline z\)(1 \(-\) i) \(\ge\) 4}.Then, the maximum value of \({\left| {z - {5 \over 2}} \right|^2}\) for z\(\in\)S1 ...

If the real part of the complex number \(z = {{3 + 2i\cos \theta } \over {1 - 3i\cos \theta }},\theta \in \left( {0,{\pi \over 2}} \right)\) is zero, then the value of sin23\(\theta\) + cos2\(\theta\) is equal to _______________.

Let f : (a, b) \(\to\) R be twice differentiable function such that \(f(x) = \int_a^x {g(t)dt}\) for a differentiable function g(x). If f(x) = 0 has exactly five distinct roots in (a, b), then g(x)g'(x) = 0 has at least :

If \(\int_0^\pi {({{\sin }^3}x){e^{ - {{\sin }^2}x}}dx = \alpha - {\beta \over e}\int_0^1 {\sqrt t {e^t}dt} }\), then \(\alpha\) + \(\beta\) is equal to ____________.

Let y = y(x) be the solution of the differential equation (x \(-\) x3)dy = (y + yx2 \(-\) 3x4)dx, x > 2. If y(3) = 3, then y(4) is equal to :

Let y = y(x) be the solution of the differential equation dy = e\(\alpha\)x + y dx; \(\alpha\) \(\in\) N. If y(loge2) = loge2 and y(0) = loge\(\left( {{1 \over 2}} \right)\), then the value of \(\alpha\) is equal to _____________.

Let E be an ellipse whose axes are parallel to the co-ordinates axes, having its center at (3, \(-\)4), one focus at (4, \(-\)4) and one vertex at (5, \(-\)4). If mx \(-\) y = 4, m > 0 is a tangent to the ellipse E, then the value of 5m2 is...

Let f : R \(\to\) R be defined as \(f(x + y) + f(x - y) = 2f(x)f(y),f\left( {{1 \over 2}} \right) = - 1\). Then, the value of \(\sum\limits_{k = 1}^{20} {{1 \over {\sin (k)\sin (k + f(k))}}}\) is equal to :

The value of \(\mathop {\lim }\limits_{x \to 0} \left( {{x \over {\root 8 \of {1 - \sin x} - \root 8 \of {1 + \sin x} }}} \right)\) is equal to :

Let \(f:[0,\infty ) \to [0,3]\) be a function defined by \(f(x) = \left\{ {\matrix{ {\max \{ \sin t:0 \le t \le x\} ,} & {0 \le x \le \pi } \cr {2 + \cos x,} & {x > \pi } \cr } } \right.\)Then which of the following is true?

Which of the following is the negation of the statement "for all M > 0, there exists x\(\in\)S such that x \(\ge\) M" ?

Let A and B be two 3 \(\times\) 3 real matrices such that (A2 \(-\) B2) is invertible matrix. If A5 = B5 and A3B2 = A2B3, then the value of the determinant of the matrix A3 + B3 is equal to :

If \(A = \left[ {\matrix{ 1 & 1 & 1 \cr 0 & 1 & 1 \cr 0 & 0 & 1 \cr } } \right]\) and M = A + A2 + A3 + ....... + A20, then the sum of all the elements of the matrix M is equal to _____________.

Let n be a non-negative integer. Then the number of divisors of the form "4n + 1" of the number (10)10 . (11)11 . (13)13 is equal to __________.

A student appeared in an examination consisting of 8 true-false type questions. The student guesses the answers with equal probability.
the smallest value of n, so that the probability of guessing at least 'n' correct answers is less than ...