JEE Main 2017 (Online) 9th April Morning Slot

Paper was held on
Sun, Apr 9, 2017 3:30 AM

## Chemistry

An ideal gas undergoes isothermal expansion at constant pressure. During
the process :

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50 mL of 0.2 M ammonia solution is treated with 25 mL of 0.2 M HCl. If pKb of ammonia solution is 4.75, the pH of the mi

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The electron in the hydrogen atom undergoes transition from higher orbitals
to orbital of radius 211.6 pm. This transiti

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At 300 K, the density of a certain gaseous molecule at 2 bar is double to that of
dinitrogen (N2 ) at 4 bar. The molar m

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To find the standard potential of M3+/M electrode,the following cell is constituted : Pt/M/M3+(0.001 mol L−1 )/Ag+(0.01

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What quantity (in mL) of a 45% acid solution of a mono-protic strong acid must
be mixed with a 20% solution of the same

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A gas undergoes change from state A to state B. In this process, the heat absorbed
and work done by the gas is 5 J and 8

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Adsorption of a gas on a surface follows Freundlich adsorption isotherm. Plot of
log $${x \over m}$$ versus log p gives

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A solution is prepared by mixing 8.5 g of CH2Cl2 and 11.95 g of CHCl3 . If vapour pressure of CH2Cl2
and CHCl3 at 298

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The rate of a reaction quadruples when the temperature changes from 300 to 310 K. The activation energy of this reaction

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The electronic configuration with the highest ionization enthalpy is :

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The following reaction occurs in the Blast Furnace where iron ore is reduced to iron
metal :
Fe2O3(s) + 3 CO(g) $$\right

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Which one of the following is an oxide?

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Which of the following is a set of greenhouse gases?

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XeF6 on partial hydrolysis with water produces a compound ‘X’. The same compound ‘X’ is formed when XeF6 reacts with si

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The group having triangular planar structures is :

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The number of P−OH bonds and the oxidation state of phosphorus atom in pyrophosphoric acid (H4P2O7) respectively are :

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A compound of molecular formula C8H8O2
reacts with acetophenone to form a single cross-aldol product in the presence
of

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The incorrect statement among the following is :

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Which of the following ions does not liberate hydrogen gas on reaction with dilute acids ?

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[Co2(CO)8] displays :

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The correct sequence of decreasing number of $$\pi $$-bonds in the structures of H2SO3, H2SO4 and H2S2O7 is :

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Which of the following compounds is most reactive to an aqueous solution of sodium
carbonate ?

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In the following structure, the double bonds are marked as I, II, III and IV
Geometrical isomerism is not possible at s

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Which of the following is a biodegradable polymer ?

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The major product of the following reaction is :

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The increasing order of the boiling points for the following compounds is :

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In the following reaction sequence :
The compound I is :

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Which of the following compounds will show highest dipole moment ?

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Among the following compounds, the increasing order of their basic strength is :

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## Mathematics

The function f : N $$ \to $$ N defined by f (x) = x $$-$$ 5 $$\left[ {{x \over 5}} \right],$$ Where N is the set of natu

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The sum of all the real values of x satisfying the equation
2(x$$-$$1)(x2 + 5x $$-$$ 50) = 1 is :

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The equation
Im $$\left( {{{iz - 2} \over {z - i}}} \right)$$ + 1 = 0, z $$ \in $$ C, z $$ \ne $$ i
represents a part of

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For two 3 × 3 matrices A and B, let A + B = 2BT and 3A + 2B = I3, where BT is
the transpose of B and I3 is 3 × 3 identi

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If x = a, y = b, z = c is a solution of the system of linear equations
x + 8y + 7z = 0
9x + 2y + 3z = 0
x + y + z = 0
su

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The number of ways in which 5 boys and 3 girls can be seated on a round table if a
particular boy B1 and a particular g

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The coefficient of x−5 in the binomial expansion of
$${\left( {{{x + 1} \over {{x^{{2 \over 3}}} - {x^{{1 \over 3}}} +

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If three positive numbers a, b and c are in A.P. such that abc = 8, then the minimum possible value of b is :

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Let
Sn = $${1 \over {{1^3}}}$$$$ + {{1 + 2} \over {{1^3} + {2^3}}} + {{1 + 2 + 3} \over {{1^3} + {2^3} + {3^3}}} + ....

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If $$\int\limits_1^2 {{{dx} \over {{{\left( {{x^2} - 2x + 4} \right)}^{{3 \over 2}}}}}} = {k \over {k + 5}

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If $$\mathop {\lim }\limits_{n \to \infty } \,\,{{{1^a} + {2^a} + ...... + {n^a}} \over {{{(n + 1)}^{a - 1}

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A line drawn through the point P(4, 7) cuts the circle x2 + y2 = 9 at the points A and B. Then PA⋅PB is equal to :

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A square, of each side 2, lies above the x-axis and has one vertex at the origin. If
one of the sides passing through th

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A tangent to the curve, y = f(x) at P(x, y) meets x-axis at A and y-axis at B. If AP : BP = 1 : 3 and f(1) = 1, then the

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Let f be a polynomial function such that
f (3x) = f ' (x) . f '' (x), for all x $$ \in $$ R. Then :

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If $$\,\,\,$$ f$$\left( {{{3x - 4} \over {3x + 4}}} \right)$$ = x + 2, x $$ \ne $$ $$-$$ $${4 \over 3}$$, and
$$\int

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The function f defined by
f(x) = x3 $$-$$ 3x2 + 5x + 7 , is :

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The value of k for which the function
$$f\left( x \right) = \left\{ {\matrix{
{{{\left( {{4 \over 5}} \right)}^{{{\t

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If 2x = y$${^{{1 \over 5}}}$$ + y$${^{ - {1 \over 5}}}$$ and
(x2 $$-$$ 1) $${{{d^2}y} \over {d{x^2}}}$$ + $$\lambda $$x

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If y = mx + c is the normal at a point on the parabola y2 = 8x whose focal distance is 8 units, then $$\left| c \right|$

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The eccentricity of an ellipse having centre at the origin, axes along the co-ordinate
axes and passing through the poin

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If a variable plane, at a distance of 3 units from the origin, intersects the coordinate
axes at A, B and C, then the lo

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From a group of 10 men and 5 women, four member committees are to be formed each of which must contain at least one woma

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If the line, $${{x - 3} \over 1} = {{y + 2} \over { - 1}} = {{z + \lambda } \over { - 2}}$$ lies in the plane, 2x−4y+3z=

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If the vector $$\overrightarrow b = 3\widehat j + 4\widehat k$$ is written as the
sum of a vector $$\overrightarrow {{

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A value of x satisfying the equation sin[cot−1 (1+ x)] = cos [tan−1 x], is :

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Let E and F be two independent events. The probability that both E and F happen is $${1 \over {12}}$$ and the probabilit

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The sum of 100 observations and the sum of their squares are 400 and 2475,
respectively. Later on, three observations, 3

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Contrapositive of the statement
‘If two numbers are not equal, then their squares are not equal’, is :

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The two adjacent sides of a cyclic quadrilateral are 2 and 5 and the angle between them is 60o. If the area of the quadr

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## Physics

A physical quantity P is described by the relation
P = a$$^{{\raise0.5ex\hbox{$\scriptstyle 1$}
\kern-0.1em/\kern-0.15em

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A car is standing 200 m behind a bus, which is also at rest. The two start moving at the same instant but with different

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A steel rail of length 5 m and area of cross section 40cm2
is prevented from expanding along its length while the tempe

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Two tubes of radii r1 and r2, and lengths l1 and l2 , respectively, are connected in series
and a liquid flows through

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N moles of a diatomic gas in a cylinder are at a temperature T. Heat is supplied to the cylinder such that the temperatu

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A standing wave is formed by the superposition of two waves travelling in
opposite directions. The transverse displaceme

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A block of mass 0.1 kg is connected to an elastic spring of spring constant 640 Nm−1 and oscillates in a damping medium

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A uniform wire of length 1 and radius r has a resistance of 100 $$\Omega $$. It is recast into a wire of radius $${r \o

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A negative test charge is moving near a long straight wire carrying a current. The force acting on the test charge is pa

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A sinusoidal voltage of peak value 283 V and angular frequency 320/s is applied to a series LCR circuit. Given that R=5

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The electric field component of a monochromatic radiation is given by
$$\overrightarrow E $$ = 2 E0 $$\widehat i$$ cos k

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In an experiment a convex lens of focal length 15 cm is placed coaxially on an optical bench in front of a convex mirror

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A single slit of width 0.1 mm is illuminated by a parallel beam of light of wavelength 6000 $$\mathop A\limits^ \circ $

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A Laser light of wavelength 660 nm is used to weld Retina detachment. If a Laser pulse of width 60 ms and power 0.5 kW i

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The current gain of a common emitter amplifier is 69. If the emitter current is 7.0 mA, collector current is :

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The acceleration of an electron in the first orbit of the hydrogen atom (n = 1) is :

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A signal is to be transmitted through a wave of wavelength $$\lambda $$, using a linear antenna. The length l of the ant

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Imagine that a reactor converts all given mass into energy and that it operates at a power level of 109 watt. The mass

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Two particles A and B of equal mass M are moving with the same speed $$\upsilon $$ as shown in the figure. They collide

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In an experiment to determine the period of a simple pendulum of length 1 m, it is attached to different spherical bobs

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The machine as shown has 2 rods of length1 m connected by a pivot at the top. The end of one rod is connected to the flo

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A conical pendulum of length 1 m makes an angle $$\theta $$ = 45o w.r.t. Z-axis and moves in a circle in the XY plane. T

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A circular hole of radius $${R \over 4}$$ is made in a thin uniform disc having mass M and radius R, as shown in figure

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The mass density of a spherical body is given by
$$\rho $$ (r) = $${k \over r}$$ for r $$ \le $$ R and $$\rho $$ (r) =

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Four closed surfaces and corresponding charge distributions are shown below.
Let the respective electric fluxes through

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A combination of parallel plate capacitors is maintained at a certain potential difference.
When a 3 mm thick slab is

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In a meter bridge experiment resistances are connected as shown in the figure. Initially resistance P = 4 $$\Omega $$ an

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For the P-V diagram given for an ideal gas,
out of the following which one correctly represents the T-P diagram ?

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A uniform magnetic field B of 0.3 T is along the positive Z-direction. A rectangular loop (abcd) of sides 10 cm × 5 cm c

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The figure shows three circuits I, II and III which are connected to a 3V battery. If the powers dissipated by the confi

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