JEE Main 2017 (Online) 9th April Morning Slot

The increasing order of the boiling points for the following compounds is :

A compound of molecular formula C8H8O2
reacts with acetophenone to form a single cross-aldol product in the presence
of base. The same compound on reaction with conc. NaOH forms benzyl alcohol as
one of the products. The structure of the c...

Which of the following compounds is most reactive to an aqueous solution of sodium
carbonate ?

Which of the following compounds will show highest dipole moment ?

In the following structure, the double bonds are marked as I, II, III and IV

Geometrical isomerism is not possible at site (s) :

The incorrect statement among the following is :

The group having triangular planar structures is :

The following reaction occurs in the Blast Furnace where iron ore is reduced to iron
metal :
Fe2O3(s) + 3 CO(g) \(\rightleftharpoons\) 2 Fe(1) + 3 CO2(g)
Using the Le Chatelier’s principle, predict which one of the following will not distur...

The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction is :
(Assume activation energy and preexponential factor are independent of
temperature; ln 2 = 0.693; R = 8.314 J mol−...

Among the following compounds, the increasing order of their basic strength is :

[Co2(CO)8] displays :

Which of the following ions does not liberate hydrogen gas on reaction with dilute acids ?

To find the standard potential of M3+/M electrode,the following cell is constituted : Pt/M/M3+(0.001 mol L−1 )/Ag+(0.01 mol L−1 )/Ag
The emf of the cell is found to be 0.421 volt at 298 K. The standard potential of half reaction M3+ + 3e−...

Which of the following is a set of greenhouse gases?

At 300 K, the density of a certain gaseous molecule at 2 bar is double to that of
dinitrogen (N2 ) at 4 bar. The molar mass of gaseous molecule is :

In the following reaction sequence :

The compound I is :

The major product of the following reaction is :

50 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl. If pKb of ammonia solution is 4.75, the pH of the mixture will be :

The correct sequence of decreasing number of \(\pi\)-bonds in the structures of H2SO3, H2SO4 and H2S2O7 is :

XeF6 on partial hydrolysis with water produces a compound ‘X’. The same compound ‘X’ is formed when XeF6 reacts with silica. The compound ‘X’ is :

The number of P−OH bonds and the oxidation state of phosphorus atom in pyrophosphoric acid (H4P2O7) respectively are :

The electronic configuration with the highest ionization enthalpy is :

Which one of the following is an oxide?

Which of the following is a biodegradable polymer ?

A solution is prepared by mixing 8.5 g of CH2Cl2 and 11.95 g of CHCl3 . If vapour pressure of CH2Cl2
and CHCl3 at 298 K are 415 and 200 mmHg respectively, the mole fraction of CHCl3 in vapour form is : (Molar mass of Cl = 35.5 g mol−1)

What quantity (in mL) of a 45% acid solution of a mono-protic strong acid must
be mixed with a 20% solution of the same acid to produce 800 mL of a 29.875% acid
solution ?

The electron in the hydrogen atom undergoes transition from higher orbitals
to orbital of radius 211.6 pm. This transition is associated with :

Adsorption of a gas on a surface follows Freundlich adsorption isotherm. Plot of
log \({x \over m}\) versus log p gives a straight line with slope equal to 0.5, then:
( \({x \over m}\) is the mass of the gas adsorbed per gram of adsorbent)

A gas undergoes change from state A to state B. In this process, the heat absorbed
and work done by the gas is 5 J and 8 J, respectively. Now gas is brought back to
A by another process during which 3 J of heat is evolved. In this reverse p...

An ideal gas undergoes isothermal expansion at constant pressure. During
the process :

If x = a, y = b, z = c is a solution of the system of linear equations
x + 8y + 7z = 0
9x + 2y + 3z = 0
x + y + z = 0
such that the point (a, b, c) lies on the plane x + 2y + z = 6, then 2a + b + c equals :

If a variable plane, at a distance of 3 units from the origin, intersects the coordinate
axes at A, B and C, then the locus of the centroid of \(\Delta\)ABC is :

If the line, \({{x - 3} \over 1} = {{y + 2} \over { - 1}} = {{z + \lambda } \over { - 2}}\) lies in the plane, 2x−4y+3z=2, then the shortest distance between this line and the line, \({{x - 1} \over {12}} = {y \over 9} = {z \over 4}\) is ...

A tangent to the curve, y = f(x) at P(x, y) meets x-axis at A and y-axis at B. If AP : BP = 1 : 3 and f(1) = 1, then the curve also passes through the point :

The function f defined by
f(x) = x3 \(-\) 3x2 + 5x + 7 , is :

The coefficient of x−5 in the binomial expansion of
\({\left( {{{x + 1} \over {{x^{{2 \over 3}}} - {x^{{1 \over 3}}} + 1}} - {{x - 1} \over {x - {x^{{1 \over 2}}}}}} \right)^{10}},\) where x \(\ne\) 0, 1, is :

The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60o. If the area of the quadrilateral is \(4\sqrt 3\), then the perimeter
of the quadrilateral is :

A line drawn through the point P(4, 7) cuts the circle x2 + y2 = 9 at the points A and B. Then PA⋅PB is equal to :

The equation
Im \(\left( {{{iz - 2} \over {z - i}}} \right)\) + 1 = 0, z \(\in\) C, z \(\ne\) i
represents a part of a circle having radius
equal to :

If    \(\int\limits_1^2 {{{dx} \over {{{\left( {{x^2} - 2x + 4} \right)}^{{3 \over 2}}}}}} = {k \over {k + 5}},\) then k is equal to :

If    \(\mathop {\lim }\limits_{n \to \infty } \,\,{{{1^a} + {2^a} + ...... + {n^a}} \over {{{(n + 1)}^{a - 1}}\left[ {\left( {na + 1} \right) + \left( {na + 2} \right) + ..... + \left( {na + n} \right)} \right]}} = {1 \over {60}}\)
for som...

If 2x = y\({^{{1 \over 5}}}\) + y\({^{ - {1 \over 5}}}\) and
(x2 \(-\) 1) \({{{d^2}y} \over {d{x^2}}}\) + \(\lambda\)x \({{dy} \over {dx}}\) + ky = 0,
then \(\lambda\) + k is equal to :

Let f be a polynomial function such that
f (3x) = f ' (x) . f '' (x), for all x \(\in\) R. Then :

The eccentricity of an ellipse having centre at the origin, axes along the co-ordinate
axes and passing through the points (4, −1) and (−2, 2) is :

The function f : N \(\to\) N defined by f (x) = x \(-\) 5 \(\left[ {{x \over 5}} \right],\) Where N is the set of natural numbers and [x] denotes the greatest integer less than or equal to x, is :

If \(\,\,\,\) f\(\left( {{{3x - 4} \over {3x + 4}}} \right)\) = x + 2, x \(\ne\) \(-\) \({4 \over 3}\), and
\(\int {}\)f(x) dx = A log\(\left| {} \right.\)1 \(-\) x \(\left| {} \right.\) + Bx + C,
then the ordered pair (A, B) is eq...

A value of x satisfying the equation sin[cot−1 (1+ x)] = cos [tan−1 x], is :

The value of k for which the function
$$f\left( x \right) = \left\{ {\matrix{
{{{\left( {{4 \over 5}} \right)}^{{{\tan \,4x} \over {\tan \,5x}}}}\,\,,} & {0 < x < {\pi \over 2}} \cr
{k + {2 \over 5}\,\,\,,} & {x = {\pi \over 2}} ...

Contrapositive of the statement
‘If two numbers are not equal, then their squares are not equal’, is :

For two 3 × 3 matrices A and B, let A + B = 2BT and 3A + 2B = I3, where BT is
the transpose of B and I3 is 3 × 3 identity matrix. Then :