JEE Main 2019 (Online) 10th April Evening Slot

The major product 'Y' in the following reaction is :

Compound A(C9H10O) shows positive iodoform test. Oxidation of A with KMnO4/KOH given acid
B(C8H6O4). Anhydride of B is used for the preparation of phenolphthalein. Compound A is:

The increasing order of nucleophilicity of the following nucleophiles is :
(a) CH3CO2\(-\)           (b) H2O
(c) CH3SO3\(-\)           (d) \(\mathop O\limits^ - H\)

In chromatography, which of the following statements is incorrect for Rf ?

Which of these factors does not govern the stability of a conformation in acyclic compounds?

Number of stereo centers present in linear and cyclic structures of glucose are respectively :

For the reaction,
2SO2(g) + O2(g) = 2SO3(g), \(\Delta\)H = –57.2 kJ mol–1
and KC = 1.7 × 1016
Which of the following statement is incorrect ?

For the reaction of H2 with I2, the rate constant is 2.5 × 10–4 dm3
mol–1s–1
at 327°C and 1.0 dm3
mol–1
at
527°C. The activation energy for the reaction, in kJ mole–1
is : (R = 8.314 JK–1
mol–1
)

Which of the following is not a correct method of the preparation of benzylamine from cyanobenzene ?

The crystal field stabilization energy (CFSE) of [Fe(H2O)6]Cl2 and K2[NiCl4] respectively, are :

The correct order of the first ionization enthalpies is :

The highest possible oxidation states of uranium and plutonium, respectively are :

The INCORRECT statement is :

Which one of the following graphs between molar conductivity (\({\Lambda _m}\)) versus \(\sqrt C\) is correct ?

Air pollution that occurs in sunlight is :

Points I, II and III in the following plot respectively correspond to (Vmp : most probable velocity)

The major product obtained in the given reaction is :

The major product 'Y' in the following reactions is :

The correct statements among (a) to (d) are :
(a) saline hydrides produce H2 gas when reacted with H2O.
(b) reaction of LiAlH4 with BF3 leads to B2H6.
(c) PH3 and CH4 are electron - rich and electron - precise hydrides, respectively.
(d) HF...

The pH of a 0.02 M NH4Cl solution will be :
[given Kb (NH4OH) = 10–5
and log 2 = 0.301]

The correct statement is :

The noble gas that does not occur in the atmosphere is :

The number of pentagons in C60 and trigons (triangles) in white phosphorus, respectively, are :

The correct match between Item-I and Item-II is :



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A hydrated solid X on heating initially gives a monohydrated compound Y. Y upon heating above 373 K leads
to an anhydrous white powder Z. X and Z, respectively, are :

1 g of a non-volatile non-electrolyte solute is dissolved in 100 g of two different solvents A and B whose
ebullioscopic constants are in the ratio of 1 : 5. The ratio of the elevation in their boiling points, $${{\Delta {T_b}(A)} \over {\D...

The minimum amount of O2(g) consumed per gram of reactant is for the reaction : (Given atomic mass : Fe =
56, O = 16, Mg = 24, P = 31, C = 12, H = 1)

The ratio of the shortest wavelength of two spectral series of hydrogen spectrum is found to be about 9. The
spectral series are :

The correct option among the following is :

The difference between \(\Delta\)H and \(\Delta\)U (\(\Delta\)H – \(\Delta\)U), when the combustion of one mole of heptane(l) is carried
out at a temperature T, is equal to :

A perpendicular is drawn from a point on the line \({{x - 1} \over 2} = {{y + 1} \over { - 1}} = {z \over 1}\) to the plane x + y + z = 3 such that the
foot of the perpendicular Q also lies on the plane x – y + z = 3. Then the co-ordinates...

If the plane 2x – y + 2z + 3 = 0 has the distances
\({1 \over 3}\)
and
\({2 \over 3}\)
units from the planes 4x – 2y + 4z + \(\lambda\) = 0 and
2x – y + 2z + \(\mu\) = 0, respectively, then the maximum value of \(\lambda\) + \(\mu\) i...

A spherical iron ball of radius 10 cm is coated with a layer of ice of uniform thickness that melts at a rate of
50 cm3
/min. When the thickness of the ice is 5 cm, then the rate at which the thickness (in cm/min) of the ice
decreases, is :...

If the tangent to the curve \(y = {x \over {{x^2} - 3}}\)
, \(x \in \rho ,\left( {x \ne \pm \sqrt 3 } \right)\), at a point (\(\alpha\), \(\beta\)) \(\ne\) (0, 0) on it is parallel to the line
2x + 6y – 11 = 0, then :

The area (in sq.units) of the region bounded by the curves y = 2x
and y = |x + 1|, in the first quadrant is :

The smallest natural number n, such that the coefficient of x in the expansion of \({\left( {{x^2} + {1 \over {{x^3}}}} \right)^n}\) is nC23, is :

The locus of the centres of the circles, which touch the circle, x2
+ y2
= 1 externally, also touch the y-axis and
lie in the first quadrant, is :

If z and w are two complex numbers such that |zw| = 1 and arg(z) – arg(w) = \({\pi \over 2}\)
, then :

The integral \(\int\limits_{\pi /6}^{\pi /3} {{{\sec }^{2/3}}} x\cos e{c^{4/3}}xdx\) is equal to :

Let y = y(x) be the solution of the differential equation,
\({{dy} \over {dx}} + y\tan x = 2x + {x^2}\tan x\), \(x \in \left( { - {\pi \over 2},{\pi \over 2}} \right)\), such that
y(0) = 1. Then :

Let f(x) = loge(sin x), (0 < x < \(\pi\)) and g(x) = sin–1
(e–x
), (x \(\ge\) 0). If \(\alpha\) is a positive real number such that
a = (fog)'(\(\alpha\)) and b = (fog)(\(\alpha\)), then :

The tangent and normal to the ellipse 3x2
+ 5y2
= 32 at the point P(2, 2) meet the x-axis at Q and R,
respectively. Then the area (in sq. units) of the triangle PQR is :

If 5x + 9 = 0 is the directrix of the hyperbola 16x2
– 9y2
= 144, then its corresponding focus is :

If \(\int {{x^5}} {e^{ - {x^2}}}dx = g\left( x \right){e^{ - {x^2}}} + c\), where c is a constant of integration, then \(g\)(–1) is equal to :

If \({\cos ^{ - 1}}x - {\cos ^{ - 1}}{y \over 2} = \alpha\),where –1 \(\le\) x \(\le\) 1, – 2 \(\le\) y \(\le\) 2, x \(\le\) \({y \over 2}\)
, then for all x, y, 4x2
– 4xy cos \(\alpha\) + y2
is equal
to :

If \(\mathop {\lim }\limits_{x \to 1} {{{x^2} - ax + b} \over {x - 1}} = 5\), then a + b is equal to :

The negation of the Boolean expression ~ s \(\vee\) (~r \(\wedge\) s) is equivalent to :

The sum of the real roots of the equation
\(\left| {\matrix{ x & { - 6} & { - 1} \cr 2 & { - 3x} & {x - 3} \cr { - 3} & {2x} & {x + 2} \cr } } \right| = 0\), is equal to :

Let \(\lambda\) be a real number for which the system of linear equations x + y + z = 6, 4x + \(\lambda\)y – \(\lambda\)z = \(\lambda\) – 2,
3x + 2y – 4z = – 5 has infinitely many solutions. Then \(\lambda\) is a root of the quadratic ...

If the line ax + y = c, touches both the curves x2
+ y2
= 1 and y2
= 4\(\sqrt 2\)x , then |c| is equal to :