JEE Main 2019 (Online) 10th January Morning Slot

The major product 'X' formed in the following reaction is :

The increasing order of the pKa values of the following compounds is :

The decreasing order of ease of alkaline hydrolysis for the following esters in

Which dicarboxylic acid in presence of a dehydrating agent is least reactive to give an anhydride?

If dichloromethane (DCM) and water (H2O) are used for differential extraction, which one of the following statements is correct ?

The correct structure of product 'P' in the following reactions is :

Two pi and half sigma bonds are present in :

The type of hybridisation and number of lone pair (s) of electrons of Xe in XeOF4, respectively, are:

The values of Kp/Kc for the following reactions at 300 K are, respectively : (At 300 K, RT = 24.62 dm3 atm mol–1)
N2(g) + O2(g)  \(\rightleftharpoons\) 2 NO(g)
N2O4(g)  \(\rightleftharpoons\)   2 NO(g)
N2(g) + 3H2(g) $$\rightleftharpoons$...

Consider the given plots for a reaction obeying Arrhenius equation (0oC < T < 300oC) : (K and Ea are rate constant and activation energy, respectively)

Choose the correct option :

The major product formed in the reaction given below will be :

The total number of isomers for a square planar complex [M(F)(Cl)(SCN)(NO2)] is

Wilkinson catalyst is : (Et = C2H5)

The effect of lanthanoid contraction in the lanthanoid series of elements by and large means :

Consider the following reduction processes :
Zn2+ + 2e– \(\to\) Zn(s) ; Eo = – 0.76 V
Ca2+ + 2e– \(\to\) Ca(s); Eo = –2.87 V
Mg2+ + 2e– \(\to\) Mg(s) ; Eo = – 2.36 V
Ni2 + 2e– \(\to\) Ni(s) ; Eo = – 0.25
The reducing power of the m...

Water filled in two glasses A and B have BOD values of 10 and 20, respectively. The correct statement regarding them, is :

Which hydrogen in compound (E) is easily replaceable during bromination reaction in presence of light ?

The major product of the following reaction is

The major product of the following reaction is :

The total number of isotopes of hydrogen and number of radioactive isotopes among them, respectively, are :

The chemical nature of hydrogen peroxide is :

A mixture of 100 m mol of Ca(OH)2 and 2 g of sodium sulphate was dissolved in water and the volume was made up to 100 mL. The mass of calcium sulphate formed and the concentration of OH– in resulting solution, respectively, are : (Molar mas...

Hall- Heroult's process is given by :

The electronegativity of aluminium is similar to :

The metal used for marking X–ray tube window is :

Which premitive unit cell has unequal edge lengths (a \(\ne\) b \(\ne\) c) and all axial angles different from 90o?

Liquids A and B form an ideal solution in the entire composition range. At 350 K, the vaapor pressures of pure A and pure B are 7 \(\times\) 103 Pa and 12 \(\times\) 103 Pa, respectively . The composition of the vapor in equilibriumwith...

Which of the graphs shown below does not represent the relationship between incident light and the electron ejected from metal surface ?

Which of the following is not an example of heterogenous catalytic reaction?

A process has \(\Delta\)H = 200 J mol–1 and \(\Delta\)S = 40 JK–1 mol–1. Out of the values given below, choose the minimum temperature above which the process will be spontaneous :

Let A be a point on the line \(\overrightarrow r = \left( {1 - 3\mu } \right)\widehat i + \left( {\mu - 1} \right)\widehat j + \left( {2 + 5\mu } \right)\widehat k\) and B(3, 2, 6) be a point in the space. Then the value of \(\mu\) for ...

The plane passing through the point (4, –1, 2) and parallel to the lines  \({{x + 2} \over 3} = {{y - 2} \over { - 1}} = {{z + 1} \over 2}\)  and  \({{x - 2} \over 1} = {{y - 3} \over 2} = {{z - 4} \over 3}\) also passes through the point -

The shortest distance between the point  \(\left( {{3 \over 2},0} \right)\)   and the curve y = \(\sqrt x\), (x > 0), is -

If the area enclosed between the curves y = kx2 and x = ky2, (k > 0), is 1 square unit. Then k is -

If the third term in the binomial expansion of \({\left( {1 + {x^{{{\log }_2}x}}} \right)^5}\) equals 2560, then a possible value of x is -

If  \({\sum\limits_{i = 1}^{20} {\left( {{{{}^{20}{C_{i - 1}}} \over {{}^{20}{C_i} + {}^{20}{C_{i - 1}}}}} \right)} ^3} = {k \over {21}}\)  then k is equal to

If a circle C passing through the point (4, 0) touches the circle x2 + y2 + 4x – 6y = 12 externally at the point (1, – 1), then the radius of C is :

Let z1 and z2 be any two non-zero complex numbers such that   \(3\left| {{z_1}} \right| = 4\left| {{z_2}} \right|.\)  If  \(z = {{3{z_1}} \over {2{z_2}}} + {{2{z_2}} \over {3{z_1}}}\)  then :

Let  \({\rm I} = \int\limits_a^b {\left( {{x^4} - 2{x^2}} \right)} dx.\)  If I is minimum then the ordered pair (a, b) is -

If  \({{dy} \over {dx}} + {3 \over {{{\cos }^2}x}}y = {1 \over {{{\cos }^2}x}},\,\,x \in \left( {{{ - \pi } \over 3},{\pi \over 3}} \right)\)  and  \(y\left( {{\pi \over 4}} \right) = {4 \over 3},\)  then  $$y\left( { - {\pi \over 4}} \r...

Let f : R \(\to\) R be a function such that f(x) = x3 + x2f'(1) + xf''(2) + f'''(3), x \(\in\) R. Then f(2) equals -

Consider a triangular plot ABC with sides AB = 7m, BC = 5m and CA = 6m. A vertical lamp-post at the mid point D of AC subtends an angle 30o at B. The height (in m) of the lamp-post is -

The equation of a tangent to the hyperbola 4x2 – 5y2 = 20 parallel to the line x – y = 2 is :

Let n \(\ge\) 2 be a natural number and \(0 < \theta < {\pi \over 2}.\) Then \(\int {{{{{\left( {{{\sin }^n}\theta - \sin \theta } \right)}^{1/n}}\cos \theta } \over {{{\sin }^{n + 1}}\theta }}} \,d\theta\) is equal to - (where C is a...

For each t \(\in\) R , let [t] be the greatest integer less than or equal to t
Then  $$\mathop {\lim }\limits_{x \to 1^ + } {{\left( {1 - \left| x \right| + \sin \left| {1 - x} \right|} \right)\sin \left( {{\pi \over 2}\left[ {1 - x} \ri...

Let  \(f\left( x \right) = \left\{ {\matrix{ {\max \left\{ {\left| x \right|,{x^2}} \right\}} & {\left| x \right| \le 2} \cr {8 - 2\left| x \right|} & {2 < \left| x \right| \le 4} \cr } } \right.\)
Let S be the set of points in ...

Consider the statement : "P(n) : n2 – n + 41 is prime". Then which one of the following is true ?

Let  d \(\in\) R, and 
$$A = \left[ {\matrix{
{ - 2} & {4 + d} & {\left( {\sin \theta } \right) - 2} \cr
1 & {\left( {\sin \theta } \right) + 2} & d \cr
5 & {\left( {2\sin \theta } \right) - d} & {\left( { - \sin \theta } \ri...

If the system of equations
x + y + z = 5
x + 2y + 3z = 9
x + 3y + az = \(\beta\)
has infinitely many solutions, then \(\beta\) \(-\) \(\alpha\) equals -

If the parabolas y2 = 4b(x – c) and y2 = 8ax have a common normal, then which on of the following is a valid choice for the ordered triad (a, b, c)?