JEE Main 2020 (Online) 4th September Morning Slot

Paper was held on
Fri, Sep 4, 2020 3:30 AM

## Chemistry

What are the functional groups present in the
structure of maltose?

View Question
An organic compound (A) (molecular formula
C6H12O2) was hydrolysed with dil. H2SO4 to give
a carboxylic acid (B) and an

View Question
Which of the following will react with CHCl3 +
alc. KOH?

View Question
The elements with atomic numbers 101 and 104
belong to, respectively :

View Question
For one mole of an ideal gas, which of these
statements must be true?
(a) U and H each depends only on temperature
(b) C

View Question
The decreasing order of reactivity of the
following organic molecules towards AgNO3
solution is :

View Question
Among statements (a) - (d), the correct ones are
(a) Lime stone is decomposed to CaO during
the extraction of iron from

View Question
The IUPAC name of the following compound is :

View Question
On combustion of Li, Na and K in excess of air,
the major oxides formed, respectively, are :

View Question
Match the following :
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style:solid;bo

View Question
For the equilibrium A ⇌ B , the variation of the
rate of the forward (a) and reverse (b) reaction
with time is given by

View Question
The region in the electromagnetic spectrum
where the Balmar series lines appear is :

View Question
The ionic radii of O2–, F–, Na+ and Mg2+ are in
the order :

View Question
When neopentyl alcohol is heated with an acid,
it slowly converted into an 85 : 15 mixture of
alkenes A and B, respectiv

View Question
The number of isomers possible for
[Pt(en)(NO2)2] is :

View Question
[P] on treatment with Br2/FeBr3 in CCl4
produced a single isomer C8H7O2Br while
heating [P] with sodalime gave toluene.

View Question
The pair in which both the species have the
same magnetic moment (spin only) is :

View Question
The intermolecular potential energy for the
molecules A, B, C and D given below suggests
that :

View Question
$$E_{C{u^{2 + }}|Cu}^0$$ = +0.34 V
$$E_{Z{n^{2 + }}|Zn}^0$$ = -0.76 V
Identify the incorrect statement from the option

View Question
On heating, lead (II) nitrate gives a brown gas
(A). The gas (A) on cooling changes to a
colourless solid/liquid (B). (B

View Question
The number of chiral centres present in [B] is
_____.

View Question
If 75% of a first order reaction was completed
in 90 minutes, 60% of the same reaction would
be completed in approximate

View Question
At 300 K, the vapour pressure of a solution
containing 1 mole of n-hexane and 3 moles of
n-heptane is 550 mm of Hg. At t

View Question
The mass of ammonia in grams produced when
2.8 kg of dinitrogen quantitatively reacts with 1
kg of dihydrogen is _______

View Question
A 20.0 mL solution containing 0.2 g impure
H2O2 reacts completely with 0.316 g of KMnO4
in acid solution. The purity of

View Question
## Mathematics

The value of $$\sum\limits_{r = 0}^{20} {{}^{50 - r}{C_6}} $$ is equal to:

View Question
Let [t] denote the greatest integer $$ \le $$ t. Then the equation in x,
[x]2 + 2[x+2] - 7 = 0 has :

View Question
Let y = y(x) be the solution of the differential equation, xy'- y = x2(xcosx + sinx), x > 0. if y ($$\pi $$) = $$\pi

View Question
Let $$f\left( x \right) = \int {{{\sqrt x } \over {{{\left( {1 + x} \right)}^2}}}dx\left( {x \ge 0} \right)} $$. Then f

View Question
Let P(3, 3) be a point on the hyperbola, $${{{x^2}} \over {{a^2}}} - {{{y^2}} \over {{b^2}}} = 1$$. If the normal to it

View Question
Let $${{{x^2}} \over {{a^2}}} + {{{y^2}} \over {{b^2}}} = 1$$ (a > b) be a given ellipse, length of whose latus rectu

View Question
If 1+(1–22.1)+(1–42.3)+(1-62.5)+......+(1-202.19)= $$\alpha $$ - 220$$\beta $$, then an ordered pair $$\left( {\alpha ,

View Question
Let x0 be the point of Local maxima of $$f(x) = \overrightarrow a .\left( {\overrightarrow b \times \overrightarrow c }

View Question
The integral $$\int {{{\left( {{x \over {x\sin x + \cos x}}} \right)}^2}dx} $$ is equal to
(where C is a constant of in

View Question
Let $$f(x) = \left| {x - 2} \right|$$ and g(x) = f(f(x)), $$x \in \left[ {0,4} \right]$$. Then $$\int\limits_0^3 {\left(

View Question
A triangle ABC lying in the first quadrant has two vertices as A(1, 2) and B(3, 1). If $$\angle BAC = {90^o}$$ and area$

View Question
Let f be a twice differentiable function on (1, 6). If f(2) = 8, f’(2) = 5, f’(x) $$ \ge $$ 1 and f''(x) $$ \ge $$ 4, fo

View Question
Let $$u = {{2z + i} \over {z - ki}}$$, z = x + iy and k > 0. If the curve represented by Re(u) + Im(u) = 1 intersect

View Question
Given the following two statements:
$$\left( {{S_1}} \right):\left( {q \vee p} \right) \to \left( {p \leftrightarrow \s

View Question
If $$A = \left[ {\matrix{
{\cos \theta } & {i\sin \theta } \cr
{i\sin \theta } & {\cos \theta } \cr

View Question
A survey shows that 63% of the people in a city read newspaper A whereas 76% read
newspaper B. If x% of the people read

View Question
Let $$\alpha $$ and $$\beta $$ be the roots of x2 - 3x + p=0 and $$\gamma $$ and $$\delta $$ be the roots of x2 - 6x + q

View Question
The mean and variance of 8 observations are 10 and 13.5, respectively. If 6 of these observations
are 5, 7, 10, 12, 14,

View Question
Two vertical poles AB = 15 m and CD = 10 m are standing apart on a horizontal ground with points A
and C on the ground.

View Question
If $$\left( {a + \sqrt 2 b\cos x} \right)\left( {a - \sqrt 2 b\cos y} \right) = {a^2} - {b^2}$$
where a > b > 0,

View Question
Suppose a differentiable function f(x) satisfies the identity f(x+y) = f(x) + f(y) + xy2 + x2y, for all real x and y.
$$

View Question
If the equation of a plane P, passing through the intersection of the planes, x + 4y - z + 7 = 0
and 3x + y + 5z = 8 is

View Question
If the system of equations
x - 2y + 3z = 9
2x + y + z = b
x - 7y + az = 24, has infinitely many solutions, then a - b is

View Question
Let $${\left( {2{x^2} + 3x + 4} \right)^{10}} = \sum\limits_{r = 0}^{20} {{a_r}{x^r}} $$
Then $${{{a_7}} \over {{a_{13}}

View Question
The probability of a man hitting a target is $${1 \over {10}}$$. The least number of shots required, so that the
probabi

View Question
## Physics

Two charged thin infinite plane sheets of uniform surface charge density $${\sigma _ + }$$ and $${\sigma _ - }$$, where

View Question
A small bar magnet placed with its axis at 30o with an external field of 0.06 T experiences a torque of 0.018 Nm. The mi

View Question
A beam of plane polarised light of large cross-sectional area and uniform intensity of 3.3 Wm-2 falls normally on a pola

View Question
The specific heat of water = 4200 J kg-1K-1 and the latent heat of ice = 3.4 $$ \times $$ 105 J kg–1. 100 grams of ice a

View Question
Take the breakdown voltage of the zener diode used in the given circuit as 6V. For the input voltage shown in figure bel

View Question
Match the $${{{C_P}} \over {{C_V}}}$$ ratio for ideal gases with different type of molecules :
.tg {border-collapse:co

View Question
A small bar magnet is moved through a coil at constant speed from one end to the other. Which of the following series of

View Question
A wire A, bent in the shape of an arc of a circle, carrying a current of 2 A and having radius 2 cm and another wire B,

View Question
Particle A of mass mA = $${m \over 2}$$ moving along the x-axis with velocity v0 collides elastically with another parti

View Question
A Tennis ball is released from a height h and after freely falling on a wooden floor
it rebounds and reaches height $${h

View Question
A two point charges 4q and -q are fixed
on the x-axis at x = $$ - {d \over 2}$$
and x = $${d \over 2}$$
respectively. If

View Question
A battery of 3.0 V is connected to a resistor dissipating 0.5 W of power. If the terminal voltage of the battery is 2.5

View Question
For a transverse wave travelling along a straight line, the distance between two peaks (crests) is 5 m, while the distan

View Question
Choose the correct option relating wave lengths of different parts of electromagnetic wave spectrum:

View Question
On the x-axis and at a distance x from the origin, the gravitational field due a mass distribution is
given by $${{Ax} \

View Question
Dimensional formula for thermal conductivity is (here K denotes the temperature):

View Question
Given figure shows few data points in a phot electric effect experiment for a certain metal. The
minimum energy for ejec

View Question
Blocks of masses m, 2m, 4m and 8m are arranged in a line on a frictionless floor. Another block of
mass m, moving with s

View Question
A air bubble of radius 1 cm in water has an upward acceleration 9.8 cm s–2. The density of water is
1 gm cm–3 and water

View Question
Starting from the origin at time t = 0, with initial velocity 5$$\widehat j$$ ms-1 , a particle moves in the x-y plane
w

View Question
A closed vessel contains 0.1 mole of a monoatomic ideal gas at 200 K. If 0.05 mole of the same gas
at 400 K is added to

View Question
A circular disc of mass M and radius R is rotating about its axis with angular speed $${\omega _1}$$
. If another
statio

View Question
In a compound microscope, the magnified virtual image is formed at a distance of 25 cm from the
eye-piece. The focal len

View Question