JEE Main 2017 (Offline)

Paper was held on
Sun, Apr 2, 2017 9:30 AM

## Chemistry

1 gram of a carbonate (M2CO3) on treatment with excess HCl produces 0.01186 mole of CO2. The molar mass of M2CO3 in g mo

View Question The radius of the second Bohr orbit for hydrogen atom is:
(Planck’s Const. h = 6.6262 × 10-34 Js; mass of electron = 9.1

View Question Which of the following species is not paramagnetic?

View Question The most abundant elements by mass in the body of a healthy human adult are: Oxygen (61.4%); Carbon
(22.9%), Hydrogen (1

View Question $$\Delta $$U is equal to :

View Question The group having isoelectronic species is:

View Question The freezing point of benzene decreases by 0.450C when 0.2 g of acetic acid is added to 20g of benzene. If
acetic acid a

View Question Given, $${C_{(graphite)}} + {O_2} \to C{O_2}(g)$$;
$${\Delta _r}{H^o}$$ = - 393.5 kJ mol-1
$${{\rm H}_2}(g)$$ + $${1 \ov

View Question Given
$$E_{C{l_2}/C{l^ - }}^o$$ = 1.36 V, $$E_{C{r^{3 + }}/Cr}^o$$ = - 0.74 V
$$E_{C{r_2}{O_7}^{2 - }/C{r^{3 + }}}^o$$ =

View Question pKa of a weak acid (HA) and pKb of a weak base (BOH) are 3.2 and 3.4, respectively. The pH of their salt (AB) solution i

View Question Which of the following reactions is an example of a redox reaction?

View Question Two reactions R1 and R2 have identical pre-exponential factors. Activation energy of R1 exceeds that of R2 by 10 kJ mol–

View Question In the following reactions, ZnO is respectively acting as a/an :
(a) ZnO + Na2O $$\to$$ Na2ZnO2
(b) ZnO + CO2 $$\to$$ Zn

View Question On treatment of 100 mL of 0.1 M solution of CoCl3. 6H2O with excess AgNO3; 1.2 $$\times$$ 1022 ions are precipitated. Th

View Question Which of the following molecules is least resonance stabilized?

View Question Which of the following compounds will form significant amount of meta product during mono-nitration
reaction?

View Question The increasing order of the reactivity of the following halides for the SN1 reaction is :

View Question 3-Methyl-pent-2-ene on reaction with HBr in presence of peroxide forms an addition product. The number
of possible stere

View Question Which of the following, upon treatment with tert-BuONa followed by addition of bromine water, fails to
decolorize the co

View Question The major product obtained in the following reaction is :

View Question Sodium salt of an organic acid ‘X’ produces effervescence with conc. H2SO4. ‘X’ reacts with the acidified
aqueous CaCl2

View Question The major product obtained in the following reaction is :

View Question The correct sequence of reagents for the following conversion will be :

View Question Which of the following compounds will behave as a reducing sugar in an aqueous KOH solution?

View Question ## Mathematics

The function $$f:R \to \left[ { - {1 \over 2},{1 \over 2}} \right]$$ defined as
$$f\left( x \right) = {x \over {1 + {x^2

View Question Let $$\omega $$ be a complex number such that 2$$\omega $$ + 1 = z where z = $$\sqrt {-3} $$. If
$$\left| {\matrix{
1

View Question If $$A = \left[ {\matrix{
2 & { - 3} \cr
{ - 4} & 1 \cr
} } \right]$$,
then adj(3A2 + 12A) is equal

View Question If S is the set of distinct values of 'b' for which the following system of linear equations
x + y + z = 1
x + ay + z =

View Question If for a positive integer n, the quadratic equation
$$x\left( {x + 1} \right) + \left( {x + 1} \right)\left( {x + 2} \ri

View Question A man X has 7 friends, 4 of them are ladies and 3 are men. His wife Y also has 7 friends, 3 of them are
ladies and 4 are

View Question Let $$a$$, b, c $$ \in R$$. If $$f$$(x) = ax2 + bx + c is such that
$$a$$ + b + c = 3 and $$f$$(x + y) = $$f$$(x) + $$f$

View Question $$\mathop {\lim }\limits_{x \to {\pi \over 2}} {{\cot x - \cos x} \over {{{\left( {\pi - 2x} \right)}^3}}}$$ equals

View Question If for $$x \in \left( {0,{1 \over 4}} \right)$$, the derivatives of
$${\tan ^{ - 1}}\left( {{{6x\sqrt x } \over {1 - 9{x

View Question Twenty meters of wire is available for fencing off a flower-bed in the form of a circular sector. Then the
maximum area

View Question The integral $$\int\limits_{{\pi \over 4}}^{{{3\pi } \over 4}} {{{dx} \over {1 + \cos x}}} $$ is equal to

View Question Let $${I_n} = \int {{{\tan }^n}x\,dx} ,\,\left( {n > 1} \right).$$
If $${I_4} + {I_6}$$ = $$a{\tan ^5}x + b{x^5} + C$

View Question The area (in sq. units) of the region
$$\left\{ {\left( {x,y} \right):x \ge 0,x + y \le 3,{x^2} \le 4y\,and\,y \le 1 + \

View Question If $$\left( {2 + \sin x} \right){{dy} \over {dx}} + \left( {y + 1} \right)\cos x = 0$$ and y(0) = 1,
then $$y\left( {{\p

View Question Let k be an integer such that the triangle with vertices (k, – 3k), (5, k) and (–k, 2) has area 28 sq. units. Then the o

View Question Let $$\overrightarrow a = 2\widehat i + \widehat j -2 \widehat k$$ and $$\overrightarrow b = \widehat i + \widehat j$$

View Question For three events A, B and C, P(Exactly one of A or B occurs) = P(Exactly one of B or C occurs) = P
(Exactly one of C or

View Question If two different numbers are taken from the set {0, 1, 2, 3, ........, 10}; then the probability that their sum as
well

View Question If $$5\left( {{{\tan }^2}x - {{\cos }^2}x} \right) = 2\cos 2x + 9$$,
then the value of $$\cos 4x$$ is :

View Question ## Physics

A body is thrown vertically upwards. Which one of the following graphs correctly represent the velocity vs
time?

View Question A body of mass m = 10–2 kg is moving in a medium and experiences a frictional force F = –kv2. Its initial speed is v0 =

View Question A time dependent force F = 6t acts on a particle of mass 1 kg. If the particle starts from rest, the work done
by the fo

View Question The moment of inertia of a uniform cylinder of length $$l$$ and radius R about its perpendicular bisector is $$I$$.
What

View Question A slender uniform rod of mass M and length $$l$$ is pivoted at one end so that it
can rotate in a vertical plane (see fi

View Question A man grows into a giant such that his linear dimensions increase by a factor of 9. Assuming that his
density remains sa

View Question The variation of acceleration due to gravity $$g$$ with distance d from centre of the earth is best represented by
(R =

View Question A copper ball of mass 100 gm is at a temperature T. It is dropped in a copper calorimeter of mass 100 gm,
filled with 17

View Question An external pressure P is applied on a cube at 0oC so that it is equally compressed from all sides. K is the
bulk modulu

View Question The temperature of an open room of volume 30 m3 increases from 17oC to 27oC due to the sunshine. The atmospheric pressur

View Question CP and Cv are specific heats at constant pressure and constant volume respectively. It is observed that CP – Cv = a for

View Question A particle is executing simple harmonic motion with a time period T. At time t = 0, it is at its position of
equilibrium

View Question A capacitance of 2 $$\mu $$F is required in an electrical circuit across a potential difference of 1.0 kV. A large
numbe

View Question An electric dipole has a fixed dipole moment $$\overrightarrow p $$, which makes angle $$\theta$$ with respect to x-axis

View Question In the given circuit diagram when the current reaches steady state in the
circuit, the charge on the capacitor of capaci

View Question Which of the following statements is false?

View Question
In the given circuit, the current in each resistance is:

View Question A magnetic needle of magnetic moment 6.7 $$\times$$ 10-2 A m2 and moment of inertia 7.5 $$\times$$ 10-6 kg m2 is
perform

View Question When a current of 5 mA is passed through a galvanometer having a coil of resistance 15$$\Omega $$, it shows full
scale d

View Question In a coil of resistance 100 $$\Omega $$, a current is induced by changing
the magnetic flux through it as shown in the f

View Question In a Young’s double slit experiment, slits are separated by 0.5 mm, and the screen is placed 150 cm away.
A beam of ligh

View Question A diverging lens with magnitude of focal length 25 cm is placed at a distance of 15cm from a converging
lens of magnitud

View Question An electron beam is accelerated by a potential difference V to hit a metallic target to produce X–rays. It
produces cont

View Question A particle A of mass m and initial velocity v collides with a particle B of mass m/2 which is at rest. The
collision is

View Question Some energy levels of a molecule are shown in the figure. The
ratio of the wavelengths r = $${{\lambda _1}}$$/$${{\lambd

View Question The following observations were taken for determining surface tension T of water by capillary method:
diameter of capill

View Question