JEE Main 2022 (Online) 30th June Morning Shift

Paper was held on
Thu, Jun 30, 2022 3:30 AM

## Chemistry

An element X has a body centred cubic (bcc) structure with a cell edge of 200 pm. The density of the element is 5 g cm$$

View Question
The number of radial nodes and total number of nodes in 4p orbital respectively are :

View Question
For a solution of the gases A, B, C and D in water at 298 K, the values of Henry's law constant (KH) are 30.40, 2.34, 1.

View Question
The equilibrium constant for the reversible reaction
2A(g) $$\rightleftharpoons$$ 2B(g) + C(g) is K1
$${3 \over 2}$$A(g)

View Question
In which of the following half cells, electrochemical reaction is pH dependent?

View Question
The correct order of electron gain enthalpy ($$-$$ ve value) is :

View Question
$$\Delta$$G$$^\circ$$ vs T plot for the formation of MgO, involving reaction 2Mg + O2 $$\to$$ 2MgO, will look like :

View Question
Match List - I with List - II:
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style

View Question
Correct statement about alkali metal oxides is

View Question
A $$\mathrel{\mathop{\kern0pt\longrightarrow}
\limits_{}^{573\,K}} $$ Red phosphorus $$\mathrel{\mathop{\kern0pt\longrig

View Question
Correct formula of the compound which gives a white precipitate with BaCl2 solution, but not with AgNO3 solution, is

View Question
Which one of the following chemicals has not been used for the dry cleaning of clothes?

View Question
TLC analysis of a mixture having 3 components (A, B, C) using silica gel as the stationary phase gave following Rf value

View Question
Consider the given chemical reaction
Identify the product P.

View Question
Choose the reaction which is not possible:

View Question
Which among the following will be the major product of the given reaction?

View Question
Consider the above reaction sequence. Identify the component A and component B :

View Question
Match List - I with List - II.
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;border-style

View Question
The sugar produced after complete hydrolysis of DNA is

View Question
The reagent neutral ferric chloride is used to detect the presence of ______________

View Question
Blister copper is produced by reaction of copper oxide with copper sulphide.
2Cu2O + Cu2S $$\to$$ 6Cu + SO2
When 2.86 $$

View Question
Amongst the following, the number of molecule/(s) having net resultant dipole moment is ____________.
NF3, BF3, BeF2, CH

View Question
1.0 mol of monoatomic ideal gas is expanded from state 1 to state 2 as shown in the figure. The magnitude of the work do

View Question
For the reaction P $$\to$$ B, the values of frequency factor A and activation energy EA are 4 $$\times$$ 1013 s$$-$$1 an

View Question
100 mL of 0.3 M acetic acid is shaken with 0.8 g of wood charcoal. The final concentration of acetic acid in the solutio

View Question
In the following brown complex, the oxidation state of iron is +_____________.
$${[Fe{({H_2}O)_6}]^{2 + }} + NO \to \mat

View Question
Spin only magnetic moment ($$\mu$$s) of $${K_3}[Fe{(CN)_6}]$$ is ____________ B.M.
(Nearest integer)

View Question
An organic compound with 51.6% sulfur is heated in a Carius tube. The amount of this compound which will form 0.752 g of

View Question
A hydrocarbon 'X' is found to have molar mass of 80. A 10.0 mg of compound 'X' on hydrogenation consumed 8.40 mL of H2 g

View Question
How many of the following drugs belong to the tranquilizer class _____________ ?
Veronal, Luminal, Propanal, Seconal

View Question
## Mathematics

Let $${S_1} = \left\{ {x \in R - \{ 1,2\} :{{(x + 2)({x^2} + 3x + 5)} \over { - 2 + 3x - {x^2}}} \ge 0} \right\}$$ and $

View Question
The real part of the complex number $${{{{(1 + 2i)}^8}\,.\,{{(1 - 2i)}^2}} \over {(3 + 2i)\,.\,\overline {(4 - 6i)} }}$$

View Question
Let S be the set of all integral values of $$\alpha$$ for which the sum of squares of two real roots of the quadratic eq

View Question
Let $$A = \left[ {\matrix{
1 & { - 2} & \alpha \cr
\alpha & 2 & { - 1} \cr
} } \right]$$ and $$B = \left[

View Question
Let A and B be two square matrices of order 2. If $$det\,(A) = 2$$, $$det\,(B) = 3$$ and $$\det \left( {(\det \,5(det\,A

View Question
For two positive real numbers a and b such that $${1 \over {{a^2}}} + {1 \over {{b^3}}} = 4$$, then minimum value of the

View Question
The value of $$1 + {1 \over {1 + 2}} + {1 \over {1 + 2 + 3}} + \,\,....\,\, + \,\,{1 \over {1 + 2 + 3 + \,\,.....\,\, +

View Question
If xy4 attains maximum value at the point (x, y) on the line passing through the points (50 + $$\alpha$$, 0) and (0, 50

View Question
Let $$f(x) = 4{x^3} - 11{x^2} + 8x - 5,\,x \in R$$. Then f :

View Question
Let m and M respectively be the minimum and the maximum values of $$f(x) = {\sin ^{ - 1}}2x + \sin 2x + {\cos ^{ - 1}}2x

View Question
$$\mathop {\lim }\limits_{n \to \infty } \sum\limits_{r = 1}^n {{r \over {2{r^2} - 7rn + 6{n^2}}}} $$ is equal to :

View Question
Let $${{dy} \over {dx}} = {{ax - by + a} \over {bx + cy + a}},\,a,b,c \in R$$, represents a circle with center ($$\alpha

View Question
Let $$\alpha$$1, $$\alpha$$2 ($$\alpha$$1 2) be the values of $$\alpha$$ fo the points ($$\alpha$$, $$-$$3), (2, 0) and

View Question
Consider three circles:
$${C_1}:{x^2} + {y^2} = {r^2}$$
$${C_2}:{(x - 1)^2} + {(y - 1)^2} = {r^2}$$
$${C_3}:{(x - 2)^2}

View Question
Let the eccentricity of the ellipse $${x^2} + {a^2}{y^2} = 25{a^2}$$ be b times the eccentricity of the hyperbola $${x^2

View Question
The distance of the point (3, 2, $$-$$1) from the plane $$3x - y + 4z + 1 = 0$$ along the line $${{2 - x} \over 2} = {{y

View Question
Let a vector $$\overrightarrow c $$ be coplanar with the vectors $$\overrightarrow a = - \widehat i + \widehat j + \wi

View Question
If a random variable X follows the Binomial distribution B(5, p) such that P(X = 0) = P(X = 1), then $${{P(X = 2)} \over

View Question
Let $$\alpha = \tan \left( {{{5\pi } \over {16}}\sin \left( {2{{\cos }^{ - 1}}\left( {{1 \over {\sqrt 5 }}} \right)} \r

View Question
The conditional statement
$$((p \wedge q) \to (( \sim p) \vee r)) \vee ((( \sim p) \vee r) \to (p \wedge q))$$ is :

View Question
The number of 6-digit numbers made by using the digits 1, 2, 3, 4, 5, 6, 7, without repetition and which are multiple of

View Question
Let for $$f(x) = {a_0}{x^2} + {a_1}x + {a_2},\,f'(0) = 1$$ and $$f'(1) = 0$$. If a0, a1, a2 are in an arithmatico-geomet

View Question
Suppose $$\mathop {\lim }\limits_{x \to 0} {{F(x)} \over {{x^3}}}$$ exists and is equal to L, where
$$F(x) = \left| {\ma

View Question
If for some $$\alpha$$ > 0, the area of the region $$\{ (x,y):|x + \alpha | \le y \le 2 - |x|\} $$ is equal to $${3 \ove

View Question
Let $$f(t) = \int\limits_0^t {{e^{{x^3}}}\left( {{{{x^8}} \over {{{({x^6} + 2{x^3} + 2)}^2}}}} \right)dx} $$. If $$f(1)

View Question
A hostel has 100 students. On a certain day (consider it day zero) it was found that two students are infected with some

View Question
Let PQ be a focal chord of length 6.25 units of the parabola y2 = 4x. If O is the vertex of the parabola, then 10 times

View Question
Consider a triangle ABC whose vertices are A(0, $$\alpha$$, $$\alpha$$), B($$\alpha$$, 0, $$\alpha$$) and C($$\alpha$$,

View Question
The probability distribution of X is :
.tg {border-collapse:collapse;border-spacing:0;}
.tg td{border-color:black;bord

View Question
Let $${S_1} = \{ x \in [0,12\pi ]:{\sin ^5}x + {\cos ^5}x = 1\} $$
and $${S_2} = \{ x \in [0,8\pi ]:{\sin ^7}x + {\cos ^

View Question
## Physics

At t = 0, truck, starting from rest, moves in the positive x-direction at uniform acceleration of 5 ms$$-$$2. At t = 20

View Question
If n main scale divisions coincide with (n + 1) vernier scale divisions. The least count of vernier callipers, when each

View Question
The radii of two planets A and B are in the ratio 2 : 3. Their densities are 3$$\rho$$ and 5$$\rho$$ respectively. The r

View Question
Two projectiles P1 and P2 thrown with speed in the ratio $$\sqrt3$$ : $$\sqrt2$$, attain the same height during their mo

View Question
An air bubble of negligible weight having radius r rises steadily through a solution of density $$\sigma$$ at speed v. T

View Question
A 2 kg block is pushed against a vertical wall by applying a horizontal force of 50 N. The coefficient of static frictio

View Question
Two bodies A and B of masses 5 kg and 8 kg are moving such that the momentum of body B is twice that of the body A. The

View Question
The pressure of the gas in a constant volume gas thermometer is 100 cm of mercury when placed in melting ice at 1 atm. W

View Question
A coil of n number of turns wound tightly in the form of a spiral with inner and outer radii r1 and r2 respectively. Whe

View Question
Co is the capacitance of a parallel plate capacitor with air as a medium between the plates (as shown in Fig. 1). If hal

View Question
A sample of monoatomic gas is taken at initial pressure of 75 kPa. The volume of the gas is then compressed from 1200 cm

View Question
Which of the following equations correctly represents a travelling wave having wavelength $$\lambda$$ = 4.0 cm, frequenc

View Question
A cyclotron is working at a frequency of 10 MHz. If the radius of its dees is 60 cm. The maximum kinetic energy of accel

View Question
An expression for oscillating electric field in a plane electromagnetic wave is given as Ez = 300 sin(5$$\pi$$ $$\times$

View Question
An electric cable of copper has just one wire of radius 9 mm. Its resistance is 14 $$\Omega$$. If this single copper wir

View Question
In series RLC resonator, if the self inductance and capacitance become double, the new resonant frequency (f2) and new q

View Question
Find the ratio of maximum intensity to the minimum intensity in the interference pattern if the widths of the two slits

View Question
A source of monochromatic light liberates 9 $$\times$$ 1020 photon per second with wavelength 600 nm when operated at 40

View Question
A speech signal given by 11 sin(2200 $$\pi$$t) V is used for amplitude modulation with a carrier signal given by 44 sin(

View Question
A hydrogen atom in ground state absorbs 12.09 eV of energy. The orbital angular momentum of the electron is increased by

View Question
A person starts his journey from centre 'O' of the park and comes back to the same position following path OPQO as shown

View Question
An employee of a factory moving away from his workplace by a car listens to the siren of the factory. He drives the car

View Question
Four particles with a mass of 1 kg, 2 kg, 3 kg and 4 kg are situated at the corners of a square with side 1 m (as shown

View Question
The excess pressure inside a liquid drop is 500 Nm$$-$$2. If the radius of the drop is 2 mm, the surface tension of liqu

View Question
Eight similar drops of mercury are maintained at 12 V each. All these spherical drops combine into a single big drop. Th

View Question
The circuit diagram of potentiometer used to measure the internal resistance of a cell (E) is shown in figure. The key '

View Question
A series LCR circuit with $$R = {{250} \over {11}}\,\Omega $$ and $${X_L} = {{70} \over {11}}\,\Omega $$ is connected ac

View Question
The refractive index of an equilateral prism is $$\sqrt 2 $$. The angle of emergence under minimum deviation position of

View Question
A hydrogen atom in its first excited state absorbs a photon of energy x $$\times$$ 10$$-$$2 eV and excited to a higher e

View Question
The circuit diagram used to study the characteristic curve of a zener diode is connected to variable power supply (0 $$-

View Question