JEE Main 2016 (Online) 10th April Morning Slot

Paper was held on
Sun, Apr 10, 2016 3:30 AM

## Chemistry

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

View Question Initially, the root mean square (rms) velocity of N2 molecules at certain temperature is $$u$$. If this temperature is d

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

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

View Question Oxidation of succinate ion produces ethylene and carbon dioxide gases. On passing 0.2 Faraday electricity through an aqu

View Question An aqueous solution of a salt MX2 at certain temperature has a van’t Hoff factor of 2. The degree of dissociation for th

View Question 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 pr

View Question The rate law for the reaction below is given by the expression k [A] [B]
A + B $$ \to $$ Product
If the concentration of

View Question A solid XY kept in an evacuated sealed container undergoes decomposition to form a mixture of gases X and Y at temperatu

View Question Gold numbers of some colloids are : Gelatin : 0.005 - 0.01, Gum Arabic : 0.15 - 0.25; Oleate : 0.04 - 1.0; Starch : 15 -

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

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

View Question Identify the reaction which does not liberate hydrogen :

View Question The commercial name for calcium oxide is :

View Question Assertion : Among the carbon
allotropes, diamond is an insulator, whereas, graphite is a good co

View Question Identify the correct statement :

View Question Which of the following is an example of homoleptic complex?

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

View Question Identify the incorrect statement :

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

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

View Question Bromination of cyclohexene under conditions given below yields :

View Question Consider the reaction sequence below :
X is:

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

View Question Fluorination of an aromatic ring is easily accomplished by treating a diazonium salt with HBF4. Which of the following c

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

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

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

View Question Which of the following is a bactericidal antibiotic ?

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

View Question ## Mathematics

Let P = {$$\theta $$ : sin$$\theta $$ $$-$$ cos$$\theta $$ = $$\sqrt 2 \,\cos \theta $$} and Q = {$$\theta $$ : sin$$\t

View Question If x is a solution of the equation, $$\sqrt {2x + 1} $$ $$ - \sqrt {2x - 1} = 1,$$ $$\,\,\left( {x \ge {1 \over 2}} \ri

View Question Let z = 1 + ai be a complex number, a > 0, such that z3 is a real number.
Then the sum 1 + z + z2 + . . . . .+ z11

View Question Let A be a 3 $$ \times $$ 3 matrix such that A2 $$-$$ 5A + 7I = 0
Statement - I :
A$$-$$1 = $${1 \over 7}$$

View Question If A = $$\left[ {\matrix{
{ - 4} & { - 1} \cr
3 & 1 \cr
} } \right]$$,
then the determ

View Question 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}}}}}} \r

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

View Question Let a1, a2, a3, . . . . . . . , an, . . . . . be in A.P.
If a3 + a7 + a11 + a15 = 72,
then the sum of its first 17 te

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

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

View Question Let a, b $$ \in $$ R, (a $$ \ne $$ 0). If the function f defined as
$$f\left( x \right) = \left\{ {\matrix{
{{{2{x^2}

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

View Question 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

View Question The integral $$\int {{{dx} \over {\left( {1 + \sqrt x } \right)\sqrt {x - {x^2}} }}} $$ is equal to :
(where C is a con

View Question The value of the integral
$$\int\limits_4^{10} {{{\left[ {{x^2}} \right]dx} \over {\left[ {{x^2} - 28x + 196} \right] +

View Question A ray of light is incident along a line which meets another line, 7x − y + 1 = 0, at the point (0, 1). The ray is then r

View Question A straight line through origin O meets the lines 3y = 10 − 4x and 8x + 6y + 5 = 0 at points A and B respectively. Then O

View Question Equation of the tangent to the circle, at the point (1, −1), whose centre is the point of intersection of the straight l

View Question P and Q are two distinct points on the parabola, y2 = 4x, with parameters t and t1 respectively. If the normal at P pass

View Question 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 +

View Question A hyperbola whose transverse axis is along the major axis of the conic, $${{{x^2}} \over 3} + {{{y^2}} \over 4} = 4$$ an

View Question The solution of the differential equation
$${{dy} \over {dx}}\, + \,{y \over 2}\,\sec x = {{\tan x} \over {2y}},\,\,$$

View Question 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 thr

View Question The number of distinct real values of $$\lambda $$ for which the lines
$${{x - 1} \over 1} = {{y - 2} \over 2} = {{z +

View Question Let ABC be a triangle whose circumcentre is at P. If the position vectors of A, B, C and P are $$\overrightarrow a ,\ove

View Question The mean of 5 observations is 5 and their variance is 124. If three of the observations
are 1, 2 and 6 ; then the mean d

View Question If A > 0, B > 0 and A + B = $${\pi \over 6}$$, then the minimum value of t

View Question An experiment succeeds twice as often as it fails. The probability of at least 5 successes in the six trials of this exp

View Question 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 t

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

View Question ## Physics

A, B, C and D are four different physical quantities having different
dimensions. None of them is dimensionless. But w

View Question Concrete mixture is made by mixing cement, stone and sand in a rotating
cylindrical drum. If the drum rotates too fast,

View Question A particle of mass M is moving in a circle of fixed radius R in such a way that its centripetal acceleration at time t i

View Question An astronaut of mass m is working on a satellite orbiting the earth at a distance h from the earth’s surface. The radius

View Question A Carnot freezer takes heat from water at 0oC inside it and rejects it to the room at a temperature of 27oC. The latent

View Question A toy-car, blowing its horn, is moving with a steady speed of 5 m/s, away from a wall. An observer, towards whom the toy

View Question Within a spherical charge distribution of charge density $$\rho $$(r), N equipotential surfaces of potential V0, V0 + $$

View Question In an engine the piston undergoes vertical simple harmonic motion with amplitude 7 cm. A washer rests on top of the pist

View Question A fighter plane of length 20 m, wing span (distance from tip of one wing to the tip of the other wing) of 15 m and heigh

View Question The resistance of an electrical toaster has a temperature dependence given by R(T) = R0 [1 + $$\alpha $$(T − T0)] in its

View Question A conducting metal circular-wire-loop of radius r is placed perpendicular to a
magnetic field which varies with time as

View Question Consider an electromagnetic wave propagating in vacuum. Choose the correct
statement :

View Question A photoelectric surface is illuminated successively by monochromatic light of wavelengths $$\lambda $$ and $${\lambda \

View Question Two stars are 10 light years away from the earth. They are seen through a telescope of objective diameter 30 cm. The wav

View Question A neutron moving with a speed ‘v’ makes a head on collision with a stationary
hydrogen atom in ground state. The minimum

View Question A modulated signal Cm(t) has the form Cm(t) = 30 sin 300 $$\pi $$t + 10 (cos 200 $$\pi $$t −cos 400 $$\pi $$t). The carr

View Question A particle of mass m is acted upon by a force F given by the empirical law
F =$${R \over {{t^2}}}\,v\left( t \right).$$

View Question The ratio (R) of output resistance r0, and the input resistance ri in measurements of input and output characteristics o

View Question A thin 1 m long rod has a radius of 5 mm. A force of 50 $$\pi $$kN is applied at one end to determine its Young’s modulu

View Question To determine refractive index of glass slab using a travelling microscope, minimum number of readings required are :

View Question Velocity-time graph for a body of mass 10 kg is shown in figure. Work-done on
the body in first two seconds of the motio

View Question In the figure shown ABC is a uniform wire. If centre of mass of wire lies vertically below point A, then $${{BC} \over {

View Question A bottle has an opening of radius a and length b. A cork of length b and radius (a + $$\Delta $$a) where ($$\Delta $$a &

View Question Which of the following shows the correct relationship between the pressure ‘P’ and density $$\rho $$ of an ideal gas at

View Question Figure shows a network of capacitors where the numbers indicates capacitances in micro Farad. The value of capacitance

View Question Consider a thin metallic sheet perpendicular to the plane of the paper
moving with speed ‘v’ in a uniform magnetic field

View Question A hemispherical glass body of radius 10 cm and refractive index 1.5 is silvered on its curved surface. A small air bubbl

View Question To get an output of 1 from the circuit shown in figure the input must be :

View Question A realistic graph depicting the variation of the reciprocal of input resistance in an input characteristics measurement

View Question A galvanometer has a 50 division scale. Battery has no internal resistance. It is found that there is deflection of 40 d

View Question