JEE Main 2018 (Online) 15th April Evening Slot

The total number of optically active compounds formed in the following reactio is :

The increasing order of the acidity of the following carboxylic acids is :

The major product formed in the following reaction is :

On treatment of the following compound with a strong acid, the most susceptible site for bond cleavage is :

Two compounds I and II are eluted by column chromatography (adsorption of I > II). Which one of following is a correct statement ?

The dipeptide, Gln-Gly, on treatment with CH3COCl followed y aqueous work up gives :

Which of the following best describes the diagram below of a molecular orbital ?

At a certain temperature in a \(5\) \(L\) vessel, 2 moles of carbon monoxide and 3 moles of chlorine were allowed to reach equilibrium according to the reaction,
         CO + Cl2 \(\rightleftharpoons\) COCl2
At equilibrium, if one mole o...

For a first order reaction, A \(\to\) P, t1/2 (half-life) is 10 days The time required for \({1 \over 4}\)th conversion of A (in days) is : (ln 2 = 0.693,    ln 3 = 1.1)

The increasing order of diazotisation of the following compounds is :

The correct order of spin-only magnetic moments among the following is :
(Atomic number : Mn = 25, Co = 27, Ni = 28, Zn = 30)

The total number of possible isomers for square-planar [Pt(Cl)(NO2)(NO3)(SCN)]2- is :

Biochemical Oxygen Demand (BOD) value can be a measure of water pollution caused by the organic matter. Which of the following statements is correct ?

The major product formed in the following reaction is :

When 2-butyne is treate with H2/Lindlar's catalyst, compound X is produced as the major product and when treated with Na/liq. NH3 it produces Y as the major product Which of the following statements is correct ?

Following four solutions are prepared by mixing different volumes of NaOH and HCl of different concentrations, pH of which one of them will be equal to 1 ?

In the leaching method, bauxite ore is digested with a concentrated solution of NaOH that produces 'X'. When CO2 gas is passed through the aqueous solution of 'X', a hydrated compound 'Y' is precipitated. 'X' and 'Y' respectively are :

The number of P \(-\) O bonds in P4O6 is :

In KO2, the nature of oxygen species and the oxydation state of oxygen atom are, respectively :

In XeO3F2, the number of bond pair(s), \(\pi\)-bond(s) and lone pair(s) on Xe atom respectively are :

Lithium aluminium hydride reacts with silicon tetrachloride to form :

The correct order of electron affinity is :

Which of the following statements is not true ?

All of the following share the same crystal structure except :

Two 5 molal solutions are prepared by dissolving a non-electrolyte non-volatile solute separately in the solvents X and Y. The molecular weights of the solvents are Mx and My, respectively where Mx = \({3 \over 4}\) My. The relative lowerin...

For per gram of reactant, the maximum quantity of N2 gas is produced in which of the following thermal decomposition reactions ?
(Given : Atomic wt. - Cr = 52 u, Ba = 137 u)

The de-Broglie's wavelength of electron present in first Bohr orbit of 'H' atom is :

If x gram of gas is adsorbed by m gram of adsorbent at pressure P, the plot of log \({x \over m}\) versus log P is linear. The slope of the plot is :
(n and k are constants and n > 1)

\(\Delta\)fGo at 500 K for substance 'S' in liquid state and gaseous state are +100.7 kcl mol-1 and +103 kcal mol-1, respectively. Vapour pressure of liquid 'S' at 500 K is approximately equal to : ( R = 2 cal K-1 mol-1 )

Given
(i)   2Fe2O3(s) \(\to\) 4Fe(s) + 3O2(g);
\(\Delta\)rGo = + 1487.0 kJ mol-1
(ii)   2CO(g) + O2(g) \(\to\) 2CO2(g);
\(\Delta\)rGo = \(-\) 514.4 kJ mol-1
Free energy change, \(\Delta\)rGo for the reaction 2Fe2O3(s) + 6CO(g) $$ \...

A plane bisects the line segment joining the points (1, 2, 3) and (\(-\) 3, 4, 5) at rigt angles. Then this plane also passes through the point :

An angle between the lines whose direction cosines are gien by the equations,
\(l\) + 3m + 5n = 0 and 5\(l\)m \(-\) 2mn + 6n\(l\) = 0, is :

The coefficien of x10 in the expansion of (1 + x)2(1 + x2)3(1 + x3)4 is equal to :

The tangent to the circle C1 : x2 + y2 \(-\) 2x \(-\) 1 = 0 at the point (2, 1) cuts off a chord of length 4 from a circle C2 whose center is (3, \(-\)2). The radius of C2 is :

If |z \(-\) 3 + 2i| \(\le\) 4 then the difference between the greatest value and the least value of |z| is :

If   \({I_1} = \int_0^1 {{e^{ - x}}} {\cos ^2}x{\mkern 1mu} dx;\)
   \({I_2} = \int_0^1 {{e^{ - {x^2}}}} {\cos ^2}x{\mkern 1mu} dx\)  and
\({I_3} = \int_0^1 {{e^{ - {x^3}}}} dx;\) then

The value of integral \(\int_{{\pi \over 4}}^{{{3\pi } \over 4}} {{x \over {1 + \sin x}}dx}\) is :

The curve satifying the differeial equation, (x2 \(-\) y2) dx + 2xydy = 0 and passing through the point (1, 1) is :

If    f(x) = sin-1 \(\left( {{{2 \times {3^x}} \over {1 + {9^x}}}} \right),\) then f'\(\left( { - {1 \over 2}} \right)\) equals :

Let f : A \(\to\) B be a function defined as f(x) = \({{x - 1} \over {x - 2}},\) Where A = R \(-\) {2} and B = R \(-\) {1}. Then   f   is :

A tower T1 of height 60 m is located exactly opposite to a tower T2 of height 80 m on a straight road. Fromthe top of T1, if the angle of depression of the foot of T2 is twice the angle of elevation of the top of T2, then the width (in m) o...

A normal to the hyperbola, 4x2 \(-\) 9y2 = 36 meets the co-ordinate axes \(x\) and y at A and B, respectively. If the parallelogram OABP (O being the origin) is formed, then the ocus of P is :

If    \(\int {{{2x + 5} \over {\sqrt {7 - 6x - {x^2}} }}} \,\,dx = A\sqrt {7 - 6x - {x^2}} + B{\sin ^{ - 1}}\left( {{{x + 3} \over 4}} \right) + C\)
(where C is a constant of integration), then the ordered pair (A, B) is equal to :

\(\mathop {\lim }\limits_{x \to 0} {{x\tan 2x - 2x\tan x} \over {{{\left( {1 - \cos 2x} \right)}^2}}}\) equals :

Let f(x) be a polynomial of degree \(4\) having extreme values at \(x = 1\) and \(x = 2.\)
If   \(\mathop {lim}\limits_{x \to 0} \left( {{{f\left( x \right)} \over {{x^2}}} + 1} \right) = 3\)   then f(\(-\)1) is equal to :

Let f(x) = \(\left\{ {\matrix{ {{{\left( {x - 1} \right)}^{{1 \over {2 - x}}}},} & {x > 1,x \ne 2} \cr {k\,\,\,\,\,\,\,\,\,\,\,\,\,\,} & {,x = 2} \cr } } \right.\)
Thevaue of k for which f s continuous at x = 2 is :

Consider the following two statements :
Statement p :
The value of sin 120o can be derived by taking \(\theta = {240^o}\) in the equation
2sin\({\theta \over 2} = \sqrt {1 + \sin \theta } - \sqrt {1 - \sin \theta }\)
Statement q :
Th...

Suppose A is any 3\(\times\) 3 non-singular matrix and ( A \(-\) 3I) (A \(-\) 5I) = O where I = I3 and O = O3. If \(\alpha\)A + \(\beta\)A-1 = 4I, then \(\alpha\) + \(\beta\) is equal to :

If the system of linear equations
x + ay + z = 3
x + 2y + 2z = 6
x + 5y + 3z = b
has no solution, then :

Tangents drawn from the point (\(-\)8, 0) to the parabola y2 = 8x touch the parabola at \(P\) and \(Q.\) If F is the focus of the parabola, then the area of the triangle PFQ (in sq. units) is equal to :