JEE Main 2016 (Online) 10th April Morning Slot

The correct statement about the synthesis of erythritol (C(CH2OH)4) used in the preparation of PETN is :

Observation of “Rhumann’s purple” is a confirmatory test for the presence of :

The bond angle H - X - H is the greatest in the compound :

A solid XY kept in an evacuated sealed container undergoes decomposition to form a mixture of gases X and Y at temperature T. The equilibrium pressure is 10 bar in this vessel. Kp for this reaction is :

The rate law for the reaction below is given by the expression k [A] [B]
A + B \(\to\) Product
If the concentration of B is increased from 0.1 to 0.3 mole, keeping the value of A at 0.1 mole, the rate constant will be :

Which of the following is a bactericidal antibiotic ?

Fluorination of an aromatic ring is easily accomplished by treating a diazonium salt with HBF4. Which of the following conditions is correct about this reaction ?

The “N” which does not contribute to the basicity for the compound is :

Which of the following is an example of homoleptic complex?

The transition metal ions responsible for color in ruby and emerald are,
respectively :

Identify the correct statement :

Oxidation of succinate ion produces ethylene and carbon dioxide gases. On passing 0.2 Faraday electricity through an aqueous solution of potassium succinate, the total volume of gases (at both cathode and anode) at STP (1 atm and 273 K) is ...

Which one of the following substances used in dry cleaning is a better strategy to control environmental pollution?

Initially, the root mean square (rms) velocity of N2 molecules at certain temperature is \(u\). If this temperature is doubled and all the nitrogen molecules dissociate into nitrogen atoms, then the new rms velocity will be :

Bromination of cyclohexene under conditions given below yields :

Which one of the following reagents is not suitable for the elimination reaction ?

Consider the reaction sequence below :

X is:

Identify the reaction which does not liberate hydrogen :

Extraction of copper by smelting uses silica as an additive to remove :

Assertion :     Among the carbon
allotropes, diamond is an insulator, whereas, graphite is a good conductor of electricity.
Reason :     Hybridization of carbon in diamond and graphite are sp3 and sp2, respectively.

Aqueous solution of which salt will not contain ions with the electronic
configuration 1s22s22p63s23p6 ?

Identify the incorrect statement :

The following statements concern elements in the periodic table. Which of the following is true ?

Which of the following polymers is synthesized using a free radical
polymerization technique ?

Sodium extract is heated with concentrated HNO3 before testing for halogens because :

The volume of 0.1N dibasic acid sufficient to neutralize 1 g of a base that furnishes 0.04 mole of OH− in aqueous solution is :

The commercial name for calcium oxide is :

An aqueous solution of a salt MX2 at certain temperature has a van’t Hoff factor of 2. The degree of dissociation for this solution of the salt is :

Gold numbers of some colloids are : Gelatin : 0.005 - 0.01, Gum Arabic : 0.15 - 0.25; Oleate : 0.04 - 1.0; Starch : 15 - 25. Which among these is a
better protective colloid ?

If 100 mole of H2O2 decompose at 1 bar and 300 K, the work done (kJ) by one mole of O2(g) as it expands against 1 bar pressure is :
2H2O2(l)    \(\rightleftharpoons\)    2H2O(l) + O2(g)
(R = 8.3 J K \(-\)1 mol\(-\)1)

ABC is a triangle in a plane with vertices
A(2, 3, 5), B(−1, 3, 2) and C(\(\lambda\), 5, \(\mu\)).
If the median through A is equally inclined to the coordinate axes, then the value of (\(\lambda\)3 + \(\mu\)3 + 5) is :

The number of distinct real values of \(\lambda\) for which the lines
\({{x - 1} \over 1} = {{y - 2} \over 2} = {{z + 3} \over {{\lambda ^2}}}\) and \({{x - 3} \over 1} = {{y - 2} \over {{\lambda ^2}}} = {{z - 1} \over 2}\) are coplanar ...

Let f(x) = sin4x + cos4 x. Then f is an increasing function in the interval :

Let C be a curve given by y(x) = 1 + \(\sqrt {4x - 3} ,x > {3 \over 4}.\) If P is a point
on C, such that the tangent at P has slope \({2 \over 3}\), then a point through which the normal at P passes, is :

If the coefficients of x−2 and x−4 in the expansion of \({\left( {{x^{{1 \over 3}}} + {1 \over {2{x^{{1 \over 3}}}}}} \right)^{18}},\left( {x > 0} \right),\) are m and n respectively, then \({m \over n}\) is equal to :

Equation of the tangent to the circle, at the point (1, −1), whose centre is the point of intersection of the straight lines x − y = 1 and 2x + y = 3 is :

For x \(\in\) R, x \(\ne\) 0, if y(x) is a differentiable function such that
x \(\int\limits_1^x y\) (t) dt = (x + 1) \(\int\limits_1^x ty\) (t) dt,  then y (x) equals :
(where C is a constant.)

The value of the integral
\(\int\limits_4^{10} {{{\left[ {{x^2}} \right]dx} \over {\left[ {{x^2} - 28x + 196} \right] + \left[ {{x^2}} \right]}}} ,\)
where [x] denotes the greatest integer less than or
equal to x, is :

The solution of the differential equation
\({{dy} \over {dx}}\, + \,{y \over 2}\,\sec x = {{\tan x} \over {2y}},\,\,\)
where 0 \(\le\) x < \({\pi \over 2}\), and y (0) = 1, is given by :

The angle of elevation of the top of a vertical tower from a point A, due east of it is 45o. The angle of elevation of the top of the same tower from a point B, due south of A is 30o. If the distance between A and B is \(54\sqrt 2 \,m,\) th...

A hyperbola whose transverse axis is along the major axis of the conic, \({{{x^2}} \over 3} + {{{y^2}} \over 4} = 4\) and has vertices at the foci of this conic. If the eccentricity of the hyperbola is \({3 \over 2},\) then which of the fo...

The integral \(\int {{{dx} \over {\left( {1 + \sqrt x } \right)\sqrt {x - {x^2}} }}}\) is equal to :
(where C is a constant of integration.)

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

Let a, b \(\in\) R, (a \(\ne\) 0). If the function f defined as
$$f\left( x \right) = \left\{ {\matrix{
{{{2{x^2}} \over a}\,\,,} & {0 \le x < 1} \cr
{a\,\,\,,} & {1 \le x < \sqrt 2 } \cr
{{{2{b^2} - 4b} \over {{x^3}}},} & ...

The contrapositive of the following statement,
“If the side of a square doubles, then its area increases four times”, is :

If    A = \(\left[ {\matrix{ { - 4} & { - 1} \cr 3 & 1 \cr } } \right]\),
then the determinant of the matrix (A2016 − 2A2015 − A2014) is :

Let A be a 3 \(\times\) 3 matrix such that A2 \(-\) 5A + 7I = 0
Statement - I :  
A\(-\)1 = \({1 \over 7}\) (5I \(-\) A).
Statement - II :
The polynomial A3 \(-\) 2A2 \(-\) 3A + I can be reduced to 5(A \(-\) 4I).
Then :

P and Q are two distinct points on the parabola, y2 = 4x, with parameters t and t1 respectively. If the normal at P passes through Q, then the minimum value of \(t_1^2\) is :

If    \({{{}^{n + 2}C{}_6} \over {{}^{n - 2}{P_2}}}\) = 11, then n satisfies the
equation :

The sum \(\sum\limits_{r = 1}^{10} {\left( {{r^2} + 1} \right) \times \left( {r!} \right)}\) is equal to :