JEE Main 2021 (Online) 27th July Morning Shift

Consider the above reaction and identify the Product P :

Which one of the following compounds will give orange precipitate when treated with 2, 4-dinitrophenyl hydrazine?

Staggered and eclipsed conformers of ethane are :

The correct order of stability of given carbocation is :

Which one among the following chemical tests is used to distinguish monosaccharide from disaccharide?

The compound 'A' is a complementary base of _______________ in DNA stands.

The difference between bond orders of CO and NO\(^ \oplus\) is \({x \over 2}\) where x = _____________. (Round off to the Nearest Integer)

PCl5 \(\rightleftharpoons\) PCl3 + Cl2Kc = 1.8443.0 moles of PCl5 is introduced in a 1 L closed reaction vessel at 380 K. The number of moles of PCl5 at equilibrium is ______________ \(\times\) 10\(-\)3. (Round off to the Nearest Integer)

For a reaction of order n, the unit of the rate constant is :

Match List - I with List - II :



List-I(Drug)

List-II(Class of Drug)




(a)
Furacin
(i)
Antibiotic


(b)
Arsphenamine
(ii)
Tranquilizers


(c)
Dimetone
(iii)
...

Given below are two statements : Statement I : Aniline is less basic than acetamide.Statement II : In aniline, the lone pair of electrons on nitrogen atom is delocalized over benzene ring due to resonance and hence less available to a proto...

In gaseous triethyl amine the "\(-\)C\(-\)N\(-\)C\(-\)" bond angle is _________ degree.

The type of hybridisation and magnetic property of the complex [MnCl6]3\(-\), respectively, are :

The number of geometrical isomers found in the metal complexes [PtCl2(NH3)2], [Ni(CO)4], [Ru(H2O)3Cl3 and [CoCl2(NH3)4]+ respectively, are :

The number of geometrical isomers possible in triamminetrinitrocobalt (III) is X and in trioxalatochromate (III) is Y. Then the value of X + Y is _______________.

The conductivity of a weak acid HA of concentration 0.001 mol L\(-\)1 is 2.0 \(\times\) 10\(-\)5 S cm\(-\)1. If \(\Lambda _m^o\)(HA) = 190 S cm2 mol\(-\)1, the ionization constant (Ka) of HA is equal to ______________ \(\times\) 10\(-\)6. (...

Which one of the following statements is NOT correct?

Presence of which reagent will affect the reversibility of the following reaction, and change it to a irreversible reaction :CH4 + I2 \(\mathrel{\mathop{\kern0pt\rightleftharpoons} \limits_{{\mathop{\rm Re}\nolimits} versible}^{hv}}\) CH3 ...

The statement is incorrect about Ellingham diagram is

The product obtained from the electrolytic oxidation of acidified sulphate solutions, is :

Match List - I with List - II :



List - I

List - II




(a)
NaOH
(i)
Acidic


(b)
\(Be{(OH)_2}\)
(ii)
Basic


(c)
\(Ca{(OH)_2}\)
(iii)
Amphoteric


(d)...

An organic compound is subjected to chlorination to get compound A using 5.0 g of chlorine. When 0.5 g of compound A is reacted with AgNO3 [Carius Method], the percentage of chlorine in compound A is ____________ when it forms 0.3849 g of A...

The oxidation states of 'P' in H4P2O7, H4P2O5 and H4P2O6, respectively, are :

Given below are two statements : One is labelled as Assertion A and the other labelled as Reason R.Assertion A : Lithium halides are some what covalent in nature.Reason R : Lithium posses high polarisation capability.In the light of the abo...

The parameters of the unit cell of a substance are a = 2.5, b = 3.0, c = 4.0, \(\alpha\) = 90\(^\circ\), \(\beta\) = 120\(^\circ\), \(\gamma\) = 90\(^\circ\). The crystal system of the substance is :

1.46 g of a biopolymer dissolved in a 100 mL water at 300 K exerted an osmotic pressure of 2.42 \(\times\) 10\(-\)3 bar.The molar mass of the biopolymer is _____________ \(\times\) 104 g mol\(-\)1. (Round off to the Nearest Integer)[Use : R...

The density of NaOH solution is 1.2 g cm\(-\)3. The molality of this solution is _____________ m. (Round off to the Nearest Integer)[Use : Atomic mass : Na : 23.0 u, O : 16.0 u, H : 1.0 u, Density of H2O : 1.0 g cm\(-\)3]

Given below are two statements :Statement I : Rutherford's gold foil experiment cannot explain the line spectrum of hydrogen atom.Statement II : Bohr's model of hydrogen atom contradicts Heisenberg' uncertainty principle.In the light of the...

CO2 gas adsorbs on charcoal following Freundlich adsorption isotherm. For a given amount of charcoal, the mass of CO2 adsorbed becomes 64 times when the pressure of CO2 is doubled. The value of n in the Freundlich isotherm equation is _____...

For water at 100\(^\circ\) C and 1 bar,\(\Delta\)vap H \(-\) \(\Delta\)vap U = _____________ \(\times\) 102 J mol\(-\)1. (Round off to the Nearest Integer)[Use : R = 8.31 J mol\(-\)1 K\(-\)1][Assume volume of H2O(l) is much smaller than vol...

Let the plane passing through the point (\(-\)1, 0, \(-\)2) and perpendicular to each of the planes 2x + y \(-\) z = 2 and x \(-\) y \(-\) z = 3 be ax + by + cz + 8 = 0. Then the value of a + b + c is equal to :

Let a plane P pass through the point (3, 7, \(-\)7) and contain the line, \({{x - 2} \over { - 3}} = {{y - 3} \over 2} = {{z + 2} \over 1}\). If distance of the plane P from the origin is d, then d2 is equal to ______________.

If the area of the bounded region \(R = \left\{ {(x,y):\max \{ 0,{{\log }_e}x\} \le y \le {2^x},{1 \over 2} \le x \le 2} \right\}\) is , \(\alpha {({\log _e}2)^{ - 1}} + \beta ({\log _e}2) + \gamma\), then the value of $${(\alpha + \beta...

If the coefficients of x7 in \({\left( {{x^2} + {1 \over {bx}}} \right)^{11}}\) and x\(-\)7 in \({\left( {{x} - {1 \over {bx^2}}} \right)^{11}}\), b \(\ne\) 0, are equal, then the value of b is equal to :

Two tangents are drawn from the point P(\(-\)1, 1) to the circle x2 + y2 \(-\) 2x \(-\) 6y + 6 = 0. If these tangents touch the circle at points A and B, and if D is a point on the circle such that length of the segments AB and AD are equal...

Let P and Q be two distinct points on a circle which has center at C(2, 3) and which passes through origin O. If OC is perpendicular to both the line segments CP and CQ, then the set {P, Q} is equal to :

Let \(A = \{ (x,y) \in R \times R|2{x^2} + 2{y^2} - 2x - 2y = 1\}\), \(B = \{ (x,y) \in R \times R|4{x^2} + 4{y^2} - 16y + 7 = 0\}\) and \(C = \{ (x,y) \in R \times R|{x^2} + {y^2} - 4x - 2y + 5 \le {r^2}\}\).Then the minimum value of |r...

Let C be the set of all complex numbers. Let\({S_1} = \{ z \in C||z - 3 - 2i{|^2} = 8\}\)\({S_2} = \{ z \in C|{\mathop{\rm Re}\nolimits} (z) \ge 5\}\) and \({S_3} = \{ z \in C||z - \overline z | \ge 8\}\).Then the number of elements in $...

The value of \(\mathop {\lim }\limits_{n \to \infty } {1 \over n}\sum\limits_{j = 1}^n {{{(2j - 1) + 8n} \over {(2j - 1) + 4n}}}\) is equal to :

The value of the definite integral\(\int\limits_{ - {\pi \over 4}}^{{\pi \over 4}} {{{dx} \over {(1 + {e^{x\cos x}})({{\sin }^4}x + {{\cos }^4}x)}}}\) is equal to :

Let the domain of the function\(f(x) = {\log _4}\left( {{{\log }_5}\left( {{{\log }_3}(18x - {x^2} - 77)} \right)} \right)\) be (a, b). Then the value of the integral $$\int\limits_a^b {{{{{\sin }^3}x} \over {({{\sin }^3}x + {{\sin }^3}(a +...

Let \(F:[3,5] \to R\) be a twice differentiable function on (3, 5) such that \(F(x) = {e^{ - x}}\int\limits_3^x {(3{t^2} + 2t + 4F'(t))dt}\). If \(F'(4) = {{\alpha {e^\beta } - 224} \over {{{({e^\beta } - 4)}^2}}}\), then \(\alpha\) + $$\b...

Let y = y(x) be solution of the differential equation \({\log _{}}\left( {{{dy} \over {dx}}} \right) = 3x + 4y\), with y(0) = 0.If \(y\left( { - {2 \over 3}{{\log }_e}2} \right) = \alpha {\log _e}2\), then the value of \(\alpha\) is equal t...

If \(y = y(x),y \in \left[ {0,{\pi \over 2}} \right)\) is the solution of the differential equation \(\sec y{{dy} \over {dx}} - \sin (x + y) - \sin (x - y) = 0\), with y(0) = 0, then \(5y'\left( {{\pi \over 2}} \right)\) is equal to _____...

A ray of light through (2, 1) is reflected at a point P on the y-axis and then passes through the point (5, 3). If this reflected ray is the directrix of an ellipse with eccentricity \({1 \over 3}\) and the distance of the nearer focus from...

Let S = {1, 2, 3, 4, 5, 6, 7}. Then the number of possible functions f : S \(\to\) S such that f(m . n) = f(m) . f(n) for every m, n \(\in\) S and m . n \(\in\) S is equal to _____________.

Let \(f:\left( { - {\pi \over 4},{\pi \over 4}} \right) \to R\) be defined as $$f(x) = \left\{ {\matrix{
{{{(1 + |\sin x|)}^{{{3a} \over {|\sin x|}}}}} & , & { - {\pi \over 4} < x < 0} \cr
b & , & {x = 0} \cr
{{e^{\cot 4x/\c...

Let f : R \(\to\) R be a function such that f(2) = 4 and f'(2) = 1. Then, the value of \(\mathop {\lim }\limits_{x \to 2} {{{x^2}f(2) - 4f(x)} \over {x - 2}}\) is equal to :

Let \(f:[0,3] \to R\) be defined by \(f(x) = \min \{ x - [x],1 + [x] - x\}\) where [x] is the greatest integer less than or equal to x. Let P denote the set containing all x \(\in\) [0, 3] where f i discontinuous, and Q denote the set cont...

The compound statement \((P \vee Q) \wedge ( \sim P) \Rightarrow Q\) is equivalent to :