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

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

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

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

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

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

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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

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

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

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

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

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

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Identify the reaction which does not liberate hydrogen :

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The commercial name for calcium oxide is :

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

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Identify the correct statement :

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Which of the following is an example of homoleptic complex ?

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

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Identify the incorrect statement :

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

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

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Bromination of cyclohexene under conditions given below yields :

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Consider the reaction sequence below :
X is:

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

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

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

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

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

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Which of the following is a bactericidal antibiotic ?

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

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## Mathematics

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

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

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

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

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

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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

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

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

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

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

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

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

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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

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

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

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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

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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

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

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

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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 +

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

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

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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

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

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

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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

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

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

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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

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

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## Physics

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

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

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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

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

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

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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

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

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

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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

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

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

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

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

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

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

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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

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

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

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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

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

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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

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

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

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

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

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

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

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

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

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

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