JEE Main 2018 (Online) 16th April Morning Slot

The major product of the following reaction is :

Which of the following compounds will most readily be dehydrated to give alkene under acidic condition ?

The major product B formed in the following reaction sequence is :

Among the following, the incorrect statement is :

The incorrect geometry is represented by :

Which of the following conversions involves change in both shape and hybridisation ?

The gas phase reaction 2NO2(g) \(\to\) N2O4(g) is an exothermic reaction. The decomposition of N2O4, in equilibrium mixture of NO2(g) and N2O4(g), can be increased by :

If 50% of a reaction occurs in 100 second and 75% of the reaction occurs in 200 secod, the order of this reaction is :

The correct match between items of List - I and List - II is :

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Products A and B formed in the following reactions are respectively :

In Wilkinson's catalyst, the hybridization of central metal ion and its shape are respectively :

Which of the following complexes will shows geometrical isomerism ?

The incorrect statement is :

When XO2 is fused with an alkali metal hydroxide in presence of an oxidizing agent such as KNO3 ; a dark green product is formed which disproportioates in acidic solution to afforda dark purple solution. X is :

When 9.65 ampere current was passed for 1.0 hour into nitrobenzene in acidic medium, the amount of p-aminophenol produced is :

Assuming ideal gas behaviour, the ratio of density of ammonia to that of hydrogen chloride at same temperature and pressure is : (Atomic wt. of Cl = 35.5 u)

The most polar compound among the following is :

The major product of the following reaction is :

The major product of the following reaction is :

In the extraction of copper from its sulphate ore, metal is finally obtained by the oxidation of cuprous sulphide with :

A group 13 element 'X' reacts with chlorine gas to produce a compound XCl3. XCl3 is electron deficient and easily reacts with NH3 to form Cl3X \(\leftarrow\) NH3 adduct ; however, XCl3 does not dimerize X is :

Among the oxides of nitrogen : N2O3, N2O4 and N2O5; the molecule(s) having nitrogen-nitrogen bond is / are :

In a complexometric titration of metal ion with ligand
M(Metal ion) + L(Ligand) \(\to\) C(Complex) end point is estimated spectrophoto - metrically (through light absorption). If 'M' and 'C' do not absorb light and only 'L' absorbs, t...

For standardizing NaOH solution, which of the following is used as a primary standard ?

The mass of a non-volatile, non-electrolyte solute (molar mass = 50 g mol-1 ) needed to be dissolved in 114 g octane to reduce its vapour pressure to 75%, is :

An unknown chlorohydrocarbon has 3.55% of chlorine. If each molecule of the hydrocarbon has one chlorine atom only; chlorine atoms present in 1 g of chlorohydrocarbon are :
(Atomic wt. of Cl = 35.5 u; Avogadro constant = 6.023 $$ \times $...

Which of the following statements is false ?

Which one of the following is not a property of physical adsorption?

At 320 K, a gas A2 is 20% dissociated to A(g). The standard free energy change at 320 K and 1 atm in J mol-1 is approximately : (R = 8.314 JK-1 mol-1; ln2 = 0.693; ln 3 = 1.098)

For which of the following processes, \(\Delta\)S is negative ?

The sum of the intercepts on the coordinate axes of the plane passing through the point (\(-\)2, \(-2,\) 2) and containing the line joining the points (1, \(-\)1, 2) and (1, 1, 1) is :

If the angle between the lines, \({x \over 2} = {y \over 2} = {z \over 1}\)
and \({{5 - x} \over { - 2}} = {{7y - 14} \over p} = {{z - 3} \over 4}\,\,\) is \({\cos ^{ - 1}}\left( {{2 \over 3}} \right),\) then p is equal to :

Let M and m be respectively the absolute maximum and the absolute minimum values of the function, f(x) = 2x3 \(-\) 9x2 + 12x + 5 in the interval [0, 3]. Then M \(-\)m is equal to :

If the area of the region bounded by the curves, \(y = {x^2},y = {1 \over x}\) and the lines y = 0 and x= t (t >1) is 1 sq. unit, then t is equal to :

The coefficient of x2 in the expansion of the product
(2\(-\)x2) .((1 + 2x + 3x2)6 + (1 \(-\) 4x2)6) is :

If a circle C, whose radius is 3, touches externally the circle,
\({x^2} + {y^2} + 2x - 4y - 4 = 0\) at the point (2, 2), then the length of the intercept cut by this circle C, on the x-axis is equal to :

The least positive integer n for which \({\left( {{{1 + i\sqrt 3 } \over {1 - i\sqrt 3 }}} \right)^n} = 1,\) is :

If \(f(x) = \int\limits_0^x {t\left( {\sin x - \sin t} \right)dt\,\,\,}\) then :

The differential equation representing the family of ellipse having foci eith on the x-axis or on the \(y\)-axis, center at the origin and passing through the point (0, 3) is :

If \(x = \sqrt {{2^{\cos e{c^{ - 1}}}}}\) and \(y = \sqrt {{2^{se{c^{ - 1}}t}}} \,\,\left( {\left| t \right| \ge 1} \right),\) then \({{dy} \over {dx}}\) is equal to :

If the length of the latus rectum of an ellipse is 4 units and the distance between a focus an its nearest vertex on the major axis is \({3 \over 2}\) units, then its eccentricity is :

A man on the top of a vertical tower observes a car moving at a uniform speed towards the tower on a horizontal road. If it takes 18 min. for the angle of depression of the car to change from 30o to 45o ; then after this, the time taken (in...

The locus of the point of intersection of the lines, \(\sqrt 2 x - y + 4\sqrt 2 k = 0\) and \(\sqrt 2 k\,x + k\,y - 4\sqrt 2 = 0\) (k is any non-zero real parameter), is :

If \(\int {{{\tan x} \over {1 + \tan x + {{\tan }^2}x}}dx = x - {K \over {\sqrt A }}{{\tan }^{ - 1}}}\) \(\left( {{{K\,\tan x + 1} \over {\sqrt A }}} \right) + C,(C\,\,\) is a constant of integration) then the ordered pair (K, A) is equal ...

If the function f defined as
\(f\left( x \right) = {1 \over x} - {{k - 1} \over {{e^{2x}} - 1}},x \ne 0,\) is continuous at
x = 0, then the ordered pair (k, f(0)) is equal to :

\(\mathop {\lim }\limits_{x \to 0} \,\,{{{{\left( {27 + x} \right)}^{{1 \over 3}}} - 3} \over {9 - {{\left( {27 + x} \right)}^{{2 \over 3}}}}}\) equals.

If p \(\to\) (\(\sim\) p\(\vee\) \(\sim\) q) is false, then the truth values of p and q are respectively :

Let A = \(\left[ {\matrix{ 1 & 0 & 0 \cr 1 & 1 & 0 \cr 1 & 1 & 1 \cr } } \right]\) and B = A20. Then the sum of the elements of the first column of B is :

The number of values of k for which the system of linear equations,
(k + 2)x + 10y = k
kx + (k +3)y = k -1
has no solution, is :

Let P be a point on the parabola, x2 = 4y. If the distance of P from the center of the circle, x2 + y2 + 6x + 8 = 0 is minimum, then the equation of the tangent to the parabola at P, is :