JEE Main 2019 (Online) 12th January Evening Slot

The aldehydes which will not form Grignard product with one equivalent Grignard reagents are -

The major product of the following reaction is –

The correct structure of histidine in a strongly acidic solution (pH = 2) is -

The correct statement (s) among I to III with respect to potassium ions that are abundant within the cell fluid
is /are
I. They activate many enzymes
II. They participate in the oxidation of glucose to produce ATP
III. Along with sodium ...

For a reaction consider the plot of \(\ell\)n k versus 1/T given in the figure. If the rate constant of this reaction at 400 K is 10–5 s–1, then the rate constant at 500 K is –

The increasing order of the reactivity of the following with LiAlH4 is

The major product of the following reaction is –

The magnetic moment of an octahedral homoleptic Mn(II) complex is 5.9 BM. The suitable ligand for this complex is -

The correct order of atomic radii is :

\(\wedge _m^ \circ\) for NaCl, HCl and NaA are 126.4, 425.9 and 100.5 S cm2 mol–1, respectively. If the conductivity of 0.001 M HA is-
5 \(\times\) 10–5 S cm–1, degree of dissociation of HA is -

The compound that is NOT a common component of photochemical smog is :

An open vessel at 27oC is heated until two fifth of the air (assumed as an ideal gas) it has escaped from the vessel assuming that the volume of the vessel remains constant, the temperature at which the vessel has been
heated is -

The major product in the following conversion is –

The major product of the following reaction is –

The major product of the following reaction is :

The major product of the following reaction is –

The volume strength of 1M H2O2 is : (Molar mass of H2O2 = 34 g mol–1)

If Ksp of Ag2CO3 is 8 \(\times\) 10–12, the molar solubility of Ag2CO3 in 0.1 M AgNO3 is -

The pair that does NOT require calcination is -

The element that shows greater ability to form p\(\pi\)-p\(\pi\) multiple bonds, is :

The element that does NOT show catenation is :

Chlorine on reaction with hot and concentrated sodium hydroxide give :

The two monomers for the synthesis of Nylon 6, 6 are

Molecules of benzoic acid (C6H5COOH) dimerise in benzene. 'w' g of the acid dissolved in 30 g of benzene shows a depression in freezing point equal to 2K. If the percentage association of the acid to form dimmer in the solution is 80, then ...

8 g of NaOH is dissolved in 18g of H2O. Mole fraction of NaOH in solution and molality (in mol kg–1) of the solution respectively are -

If the de Broglie wavelength of the electron in nth Bohr orbit in a hydrogenic atom is equal to 1.5 \(\pi\)a0 (a0 is Bohr radius), then the value of n/z is -

The upper stratosphere consisting of the ozone layer protects us from sun's radiation that falls in the wavelength region of -

Among the following the false statement is -

Given
(i)  C (graphite) + O2(g) \(\to\) CO2(g); \(\Delta\)rH\(^\Theta\) = x kJ mol\(-\)1
(ii)  C(graphite) + \({1 \over 2}\)O2(g) \(\to\) CO(g); \(\Delta\)rH\(^\Theta\) = y kJ mol\(-\)1
(iii)  CO(g) + \({1 \over 2}\) O2(g) $$ \to $...

The combination of plots which does not represent isothermal expansion of an ideal gas is –

Let S be the set of all real values of \(\lambda\) such that a plane passing through the points (–\(\lambda\)2, 1, 1), (1, –\(\lambda\)2, 1) and (1, 1, – \(\lambda\)2) also passes through the point (–1, –1, 1). Then S is equal to :

If an angle between the line, \({{x + 1} \over 2} = {{y - 2} \over 1} = {{z - 3} \over { - 2}}\) and the plane, \(x - 2y - kz = 3\) is \({\cos ^{ - 1}}\left( {{{2\sqrt 2 } \over 3}} \right),\) then a value of k is :

The tangent to the curve y = x2 – 5x + 5, parallel to the line 2y = 4x + 1, also passes through the point :

If the function f given by f(x) = x3 – 3(a – 2)x2 + 3ax + 7, for some a\(\in\)R is increasing in (0, 1] and decreasing in [1, 5), then a root of the equation, $${{f\left( x \right) - 14} \over {{{\left( {x - 1} \right)}^2}}} = 0\left( {...

The total number of irrational terms in the binomial expansion of (71/5 – 31/10)60 is :

If a circle of radius R passes through the origin O and intersects the coordinates axes at A and B, then the
locus of the foot of perpendicular from O on AB is :

Let z1 and z2 be two complex numbers satisfying | z1 | = 9 and | z2 – 3 – 4i | = 4. Then the minimum value of
| z1 – z2 | is :

The integral \(\int\limits_1^e {\left\{ {{{\left( {{x \over e}} \right)}^{2x}} - {{\left( {{e \over x}} \right)}^x}} \right\}} \,\) loge x dx is equal to :

\(\mathop {\lim }\limits_{x \to \infty } \left( {{n \over {{n^2} + {1^2}}} + {n \over {{n^2} + {2^2}}} + {n \over {{n^2} + {3^2}}} + ..... + {1 \over {5n}}} \right)\) is equal to :

If a curve passes through the point (1, –2) and has slope of the tangent at any point (x, y) on it as \({{{x^2} - 2y} \over x}\), then the curve also passes through the point :

Let S and S' be the foci of an ellipse and B be any one of the extremities of its minor axis. If \(\Delta\)S'BS is a right angled triangle with right angle at B and area (\(\Delta\)S'BS) = 8 sq. units, then the length of a latus rectum of...

If the angle of elevation of a cloud from a point P which is 25 m above a lake be 30o and the angle of depression of reflection of the cloud in the lake from P be 60o, then the height of the cloud (in meters) from
the surface of the lake is...

The integral \(\int {{{3{x^{13}} + 2{x^{11}}} \over {{{\left( {2{x^4} + 3{x^2} + 1} \right)}^4}}}} \,dx\) is equal to : (where C is a constant of integration)

\(\mathop {\lim }\limits_{x \to {1^ - }} {{\sqrt \pi - \sqrt {2{{\sin }^{ - 1}}x} } \over {\sqrt {1 - x} }}\) is equal to :

Let f be a differentiable function such that f(1) = 2 and f '(x) = f(x) for all x \(\in\) R R. If h(x) = f(f(x)), then h'(1) is equal to :

The expression \(\sim\) (\(\sim\) p \(\to\) q) is logically equivalent to :

If   A = \(\left[ {\matrix{ 1 & {\sin \theta } & 1 \cr { - \sin \theta } & 1 & {\sin \theta } \cr { - 1} & { - \sin \theta } & 1 \cr } } \right]\);
then for all \(\theta\) \(\in\) $$\left( {{{3\pi } \over 4},{{5\pi } \o...

The set of all values of \(\lambda\) for which the system of linear equations
x – 2y – 2z = \(\lambda\)x
x + 2y + z = \(\lambda\)y
– x – y = \(\lambda\)z
has a non-trivial solutions :

The equation of a tangent to the parabola, x2
= 8y, which makes an angle \(\theta\) with the positive directions of x-axis, is :

There are m men and two women participating in a chess tournament. Each participant plays two games with every other participant. If the number of games played by the men between themselves exceeds the number of games played between the men...