JEE Main 2019 (Online) 9th January Evening Slot

The products formed in the reaction of cumene with O2 followed by treatment with dil. HCl are :

The major product of the following reaction is :

The major product in the following reaction is :

The correct match between Item I and Item II is :

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Which of the following compounds is not aromatic ?

The increasing basicity order of the following compounds is :

The correct sequence of amino acids present in the tripeptide given below is :

In which of the following process, the bond order has increased and paramagnetic character has charged to diamagnetic ?

Consider the following reversible chemical reactions :

The relation between K1 and K2 is :

For the reaction, 2A + B \(\to\) products, when the concentrations of A and B both were doubled, the rate of the reaction increased from 0.3 mol L\(-\)1s\(-\)1 to 2.4 mol L\(-\)1s\(-\)1. When the concentration of A alone is doubled, the r...

The major product of the following reaction is :

The major product obtained in the following reaction is :

Homoleptic octahedral complexes of a metal ion 'M3+' with three monodenate ligands L1, L2 and L3 adsorb wavelenths in the region of green, blue and red respectively. The increasing order of the ligands strength is :

The complex that has highest crystal field splitting energy (\(\Delta\)), is :

The transition element that has lowest enthalpy of atomisation, is :

If the standard electrode potential for a cell is 2 V at 300 K, the equilibrium constant (K) for the reaction
Zn(s) + Cu2+ (aq) \(\rightleftharpoons\) Zn2+(aq) + Cu(s)
at 300 K is approximately,
(R = 8 JK\(-\)1mol\(-\)1, F = 96000 C mol$...

Which of the following conditions in drinking water causes methemoglobinemia?

The temporary hardness of water is due to :

The pH of rain water, is approximately :

The correct statement regarding the given Ellingham diagram is :

Good reducing nature of H3PO2 is attributed to the presence of :

When the first electron gain enthalpy \(\left( {{\Delta _{eg}}H} \right)\) of oxygen is \(-\) 141 kJ/mol, its second electron gain enthalpy is :

The tests performed on compound X and their inferences are :

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The metal that forms nitride by reacting directly with N2 of air, is :

At 100oC, copper (Cu) has FCC unit cell structure with cell edge length of x \(\mathop A\limits^o\). What is the approximate density of Cu (in g cm\(-\)3) at this temperature?
[Atomic Mass of Cu = 63.55 u]

A solution containing 62 g ethylene glycol in 250 g water is cooled to \(-\) 10oC. If Kf for water is 1.86 K kg mol\(-\)1 , the amount of water (in g) separated as ice is :

For the following reaction, in the mass of water produced from 445 g of C57H110O6 is :
2C57H110O6(s) + 163 O2(g) \(\to\) 114 CO2(g) + 110 H2O(l)

Which of the following combination of statements is true regarding the interpretation of the atomic orbitals ?
(a) An electron in an orbital of high angular momentum stays away from the nucleus than an electron in the orbital of lower angu...

For coagulation of arsenious sulphate sol, which one of the following salt solution will be most effective ?

The entropy change associated with the conversion of 1 kg of ice at 273 K to water vapours at 383 K is :
(Specific heat of water liquid and water vapour are 4.2 kJ K\(-\)1 kg\(-\)1 and 2.0 kJ K\(-\)1 kg\(-\)1; heat of liquid fusion and vap...

The equation of the plane containing the straight line \({x \over 2} = {y \over 3} = {z \over 4}\) and perpendicular to the plane containing the straight lines \({x \over 3} = {y \over 4} = {z \over 2}\) and $${x \over 4} = {y \over 2} = {z...

If the lines x = ay + b, z = cy + d and x = a'z + b', y = c'z + d' are perpendicular, then :

The area of the region
A = {(x, y) : 0 \(\le\) y \(\le\)x |x| + 1  and  \(-\)1 \(\le\) x \(\le\)1} in sq. units, is :

The coefficient of t4 in the expansion of \({\left( {{{1 - {t^6}} \over {1 - t}}} \right)^3}\) is :

If the circles
x2 + y2 \(-\) 16x \(-\) 20y + 164 = r2  
and  (x \(-\) 4)2 + (y \(-\) 7)2 = 36
intersect at two distinct points, then :

Let z0 be a root of the quadratic equation, x2 + x + 1 = 0, If z = 3 + 6iz\(_0^{81}\) \(-\) 3iz\(_0^{93}\), then arg z is equal to :

Let f be a differentiable function from
R to R such that \(\left| {f\left( x \right) - f\left( y \right)} \right| \le 2{\left| {x - y} \right|^{{3 \over 2}}},\)    for all  \(x,y \in\) R.
If   \(f\left( 0 \right) = 1\)  
then   $$\int\...

If   \(\int\limits_0^{{\pi \over 3}} {{{\tan \theta } \over {\sqrt {2k\,\sec \theta } }}} \,d\theta = 1 - {1 \over {\sqrt 2 }},\left( {k > 0} \right),\) then value of k is :

Let f : [0,1] \(\to\) R be such that f(xy) = f(x).f(y), for all x, y \(\in\) [0, 1], and f(0) \(\ne\) 0. If y = y(x) satiesfies the differential equation, \({{dy} \over {dx}}\) = f(x) with y(0) = 1, then y$$\left( {{1 \over 4}} \righ...

If   x \(=\) 3 tan t and y \(=\) 3 sec t, then the value of \({{{d^2}y} \over {d{x^2}}}\) at t \(= {\pi \over 4},\) is :

Let A = {x \(\in\) R : x is not a positive integer}.
Define a function \(f\) : A \(\to\)  R   as  \(f(x)\) = \({{2x} \over {x - 1}}\),
then \(f\) is :

A hyperbola has its centre at the origin, passes through the point (4, 2) and has transverse axis of length 4 along the x-axis. Then the eccentricity of the hyperbola is :

If   \(f\left( x \right) = \int {{{5{x^8} + 7{x^6}} \over {{{\left( {{x^2} + 1 + 2{x^7}} \right)}^2}}}} \,dx,\,\left( {x \ge 0} \right),\)
\(f\left( 0 \right) = 0,\)    then the value of \(f(1)\) is :

If  x = sin\(-\)1(sin10) and y = cos\(-\)1(cos10), then y \(-\) x is equal to :

For each x\(\in\)R, let [x] be the greatest integer less than or equal to x.
Then \(\mathop {\lim }\limits_{x \to {0^ - }} \,\,{{x\left( {\left[ x \right] + \left| x \right|} \right)\sin \left[ x \right]} \over {\left| x \right|}}\) is e...

The logical statement
[ \(\sim\) ( \(\sim\) p \(\vee\) q) \(\vee\) (p \(\wedge\) r)] \(\wedge\) (\(\sim\) q \(\wedge\) r) is equivalent to :

If the system of linear equations
x \(-\) 4y + 7z = g
       3y \(-\) 5z = h
\(-\)2x + 5y \(-\) 9z = k
is consistent, then :

If   $$A = \left[ {\matrix{
{{e^t}} & {{e^{ - t}}\cos t} & {{e^{ - t}}\sin t} \cr
{{e^t}} & { - {e^{ - t}}\cos t - {e^{ - t}}\sin t} & { - {e^{ - t}}\sin t + {e^{ - t}}co{\mathop{\rm s}\nolimits} t} \cr
{{e^t}} & {2{e^{ - t}}\s...

Let A(4, \(-\) 4) and B(9, 6) be points on the parabola, y2 = 4x. Let C be chosen on the arc AOB of the parabola, where O is the origin, such that the area of \(\Delta\)ACB is maximum. Then, the area (in sq. units) of \(\Delta\)ACB, is :

Let S be the set of all triangles in the xy-plane, each having one vertex at the origin and the other two vertices lie on coordinate axes with integral coordinates. If each triangle in S has area 50 sq. units, then the number of elements in...