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 :

View Question 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

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

View Question 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

View Question 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

View Question 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

View Question 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

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

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

View Question 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

View Question The electronic configuration with the highest ionization enthalpy is :

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

View Question Which one of the following is an oxide?

View Question Which of the following is a set of greenhouse gases?

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

View Question The group having triangular planar structures is :

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

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

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

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

View Question The incorrect statement among the following is :

View Question [Co2(CO)8] displays :

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

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

View Question Which of the following is a biodegradable polymer ?

View Question The major product of the following reaction is :

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

View Question In the following reaction sequence :
The compound I is :

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

View Question Which of the following compounds will show highest dipole moment ?

View Question ## 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

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

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

View Question 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

View Question 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

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

View Question 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

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

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

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

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

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

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

View Question 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

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

View Question 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 :

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

View Question 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

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

View Question 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

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

View Question 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|$

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

View Question 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

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

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

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

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

View Question 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

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

View Question ## Physics

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

View Question 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

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

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

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

View Question 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

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

View Question 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

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

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

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

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

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

View Question 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

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

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

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

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

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

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

View Question 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

View Question 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

View Question 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

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

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

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

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

View Question 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

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

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

View Question