Chemistry
1

Match List-I with List-II :

List I
(Compound)
List II
(Shape)
(A) BrF$$_5$$ (I) bent
(B) [CrF$$_6$$]$$^{3 - }$$ (II) square pyramidal
(C) O$$_3$$ (III) trigonal bipyramidal
(D) PCl$$_5$$ (IV) octahedral

Choose the correct answer from the options given below :

2

Match List - I with List - II.

List I
(Processes / Reactions)
List II
(Catalyst)
(A) 2SO$$_2$$(g) + O$$_2$$(g) $$ \to $$ 2SO$$_3$$(g) (I) Fe(s)
(B) 4NH$$_3$$(g) + 5O$$_2$$(g) $$ \to $$ 4NO(g) + 6H$$_2$$O(g) (II) Pt(s) $$ - $$ Rh(s)
(C) N$$_2$$(g) + 3H$$_2$$(g) $$ \to $$ 2NH$$_3$$(g) (III) V$$_2$$O$$_5$$
(D) Vegetable oil(l) + H$$_2$$ $$ \to $$ Vegetable ghee(s) (IV) Ni(s)

Choose the correct answer from the options given below :

3

Given two statements below :

Statement I : In $$\mathrm{Cl}_{2}$$ molecule the covalent radius is double of the atomic radius of chlorine.

Statement II : Radius of anionic species is always greater than their parent atomic radius.

Choose the most appropriate answer from options given below :

4

Which of the given reactions is not an example of disproportionation reaction?

5

The dark purple colour of $$\mathrm{KMnO}_{4}$$ disappears in the titration with oxalic acid in acidic medium. The overall change in the oxidation number of manganese in the reaction is :

6

$$ \stackrel{\bullet}{\mathrm{Cl}}+\mathrm{CH}_{4} \rightarrow \mathrm{A}+\mathrm{B} $$

A and B in the above atmospheric reaction step are :

7

Which technique among the following, is most appropriate in separation of a mixture of $$100 \,\mathrm{mg}$$ of $$p$$-nitrophenol and picric acid ?

8

The difference in the reaction of phenol with bromine in chloroform and bromine in water medium is due to :

9

Which of the following compounds is not aromatic?

10

The products formed in the following reaction, A and B are

JEE Main 2022 (Online) 26th July Morning Shift Chemistry - Aldehydes, Ketones and Carboxylic Acids Question 96 English

11

Which reactant will give the following alcohol on reaction with one mole of phenyl magnesium bromide $$(\mathrm{PhMgBr})$$ followed by acidic hydrolysis?

JEE Main 2022 (Online) 26th July Morning Shift Chemistry - Alcohols, Phenols and Ethers Question 71 English

12

The major product of the following reaction is

JEE Main 2022 (Online) 26th July Morning Shift Chemistry - Alcohols, Phenols and Ethers Question 70 English

13

The correct stability order of the following diazonium salt is

JEE Main 2022 (Online) 26th July Morning Shift Chemistry - Compounds Containing Nitrogen Question 93 English

14

Which one of the following is a reducing sugar?

15

Given below are two statements : one is labelled as Assertion (A) and the other is labelled as Reason (R).

Assertion (A) : Experimental reaction of $$\mathrm{CH}_{3} \mathrm{Cl}$$ with aniline and anhydrous $$\mathrm{AlCl}_{3}$$ does not give $$o$$ and $$p$$-methylaniline.

Reason (R): The $$-\mathrm{NH}_{2}$$ group of aniline becomes deactivating because of salt formation with anhydrous $$\mathrm{AlCl}_{3}$$ and hence yields $$m$$-methyl aniline as the product.

In the light of the above statements, choose the most appropriate answer from the options given below :

16

Chlorophyll extracted from the crushed green leaves was dissolved in water to make $$2 \mathrm{~L}$$ solution of Mg of concentration $$48\, \mathrm{ppm}$$. The number of atoms of $$\mathrm{Mg}$$ in this solution is $$x \times 10^{20}$$ atoms. The value of $$x$$ is ___________. (Nearest Integer)

(Given : Atomic mass of $$\mathrm{Mg}$$ is $$24 \mathrm{~g} \mathrm{~mol}^{-1} ; \mathrm{N}_{\mathrm{A}}=6.02 \times 10^{23} \mathrm{~mol}^{-1}$$ )

17

The wavelength of an electron and a neutron will become equal when the velocity of the electron is $$x$$ times the velocity of neutron. The value of $$x$$ is ____________. (Nearest Integer)

(Mass of electron is $$9.1 \times 10^{-31} \mathrm{~kg}$$ and mass of neutron is $$1.6 \times 10^{-27} \mathrm{~kg}$$ )

18

$$2.4 \mathrm{~g}$$ coal is burnt in a bomb calorimeter in excess of oxygen at $$298 \mathrm{~K}$$ and $$1 \mathrm{~atm}$$ pressure. The temperature of the calorimeter rises from $$298 \mathrm{~K}$$ to $$300 \mathrm{~K}$$. The enthalpy change during the combustion of coal is $$-x \mathrm{~kJ} \mathrm{~mol}^{-1}$$. The value of $$x$$ is ___________. (Nearest Integer)

(Given : Heat capacity of bomb calorimeter $$20.0 \mathrm{~kJ} \mathrm{~K}^{-1}$$. Assume coal to be pure carbon)

19

When 800 mL of 0.5 M nitric acid is heated in a beaker, its volume is reduced to half and 11.5 g of nitric acid is evaporated. The molarity of the remaining nitric acid solution is x $$\times$$ 10$$-$$2 M. (Nearest integer)

(Molar mass of nitric acid is 63 g mol$$-$$1)

20

At $$298 \mathrm{~K}$$, the equilibrium constant is $$2 \times 10^{15}$$ for the reaction :

$$\mathrm{Cu}(\mathrm{s})+2 \mathrm{Ag}^{+}(\mathrm{aq}) \rightleftharpoons \mathrm{Cu}^{2+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{s})$$

The equilibrium constant for the reaction

$$ \frac{1}{2} \mathrm{Cu}^{2+}(\mathrm{aq})+\mathrm{Ag}(\mathrm{s}) \rightleftharpoons \frac{1}{2} \mathrm{Cu}(\mathrm{s})+\mathrm{Ag}^{+}(\mathrm{aq}) $$

is $$x \times 10^{-8}$$. The value of $$x$$ is _____________. (Nearest Integer)

21

The amount of charge in $$\mathrm{F}$$ (Faraday) required to obtain one mole of iron from $$\mathrm{Fe}_{3} \mathrm{O}_{4}$$ is ___________. (Nearest Integer)

22

For a reaction $$\mathrm{A} \rightarrow 2 \mathrm{~B}+\mathrm{C}$$ the half lives are $$100 \mathrm{~s}$$ and $$50 \mathrm{~s}$$ when the concentration of reactant $$\mathrm{A}$$ is $$0.5$$ and $$1.0 \mathrm{~mol} \mathrm{~L}^{-1}$$ respectively. The order of the reaction is ______________ . (Nearest Integer)

23

The difference between spin only magnetic moment values of $$\left[\mathrm{Co}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right]\mathrm{Cl}_{2}$$ and $$\left[\mathrm{Cr}\left(\mathrm{H}_{2} \mathrm{O}\right)_{6}\right] \mathrm{Cl}_{3}$$ is ___________.

24

In the presence of sunlight, benzene reacts with Cl2 to give product, X. The number of hydrogens in X is _____________.

Mathematics
1

Let f : R $$\to$$ R be a continuous function such that $$f(3x) - f(x) = x$$. If $$f(8) = 7$$, then $$f(14)$$ is equal to :

2

Let O be the origin and A be the point $${z_1} = 1 + 2i$$. If B is the point $${z_2}$$, $${\mathop{\rm Re}\nolimits} ({z_2}) < 0$$, such that OAB is a right angled isosceles triangle with OB as hypotenuse, then which of the following is NOT true?

3

If the system of linear equations.

$$8x + y + 4z = - 2$$

$$x + y + z = 0$$

$$\lambda x - 3y = \mu $$

has infinitely many solutions, then the distance of the point $$\left( {\lambda ,\mu , - {1 \over 2}} \right)$$ from the plane $$8x + y + 4z + 2 = 0$$ is :

4

The odd natural number a, such that the area of the region bounded by y = 1, y = 3, x = 0, x = ya is $${{364} \over 3}$$, is equal to :

5

Consider two G.Ps. 2, 22, 23, ..... and 4, 42, 43, .... of 60 and n terms respectively. If the geometric mean of all the 60 + n terms is $${(2)^{{{225} \over 8}}}$$, then $$\sum\limits_{k = 1}^n {k(n - k)} $$ is equal to :

6

If the function $$f(x) = \left\{ {\matrix{ {{{{{\log }_e}(1 - x + {x^2}) + {{\log }_e}(1 + x + {x^2})} \over {\sec x - \cos x}}} & , & {x \in \left( {{{ - \pi } \over 2},{\pi \over 2}} \right) - \{ 0\} } \cr k & , & {x = 0} \cr } } \right.$$ is continuous at x = 0, then k is equal to:

7

If $$f(x) = \left\{ {\matrix{ {x + a} & , & {x \le 0} \cr {|x - 4|} & , & {x > 0} \cr } } \right.$$ and $$g(x) = \left\{ {\matrix{ {x + 1} & , & {x < 0} \cr {{{(x - 4)}^2} + b} & , & {x \ge 0} \cr } } \right.$$ are continuous on R, then $$(gof)(2) + (fog)( - 2)$$ is equal to :

8

Let $$f(x) = \left\{ {\matrix{ {{x^3} - {x^2} + 10x - 7,} & {x \le 1} \cr { - 2x + {{\log }_2}({b^2} - 4),} & {x > 1} \cr } } \right.$$.

Then the set of all values of b, for which f(x) has maximum value at x = 1, is :

9

If $${{dy} \over {dx}} + 2y\tan x = \sin x,\,0 < x < {\pi \over 2}$$ and $$y\left( {{\pi \over 3}} \right) = 0$$, then the maximum value of $$y(x)$$ is :

10

A point $$P$$ moves so that the sum of squares of its distances from the points $$(1,2)$$ and $$(-2,1)$$ is 14. Let $$f(x, y)=0$$ be the locus of $$\mathrm{P}$$, which intersects the $$x$$-axis at the points $$\mathrm{A}$$, $$\mathrm{B}$$ and the $$y$$-axis at the points C, D. Then the area of the quadrilateral ACBD is equal to :

11

The length of the perpendicular from the point $$(1,-2,5)$$ on the line passing through $$(1,2,4)$$ and parallel to the line $$x+y-z=0=x-2 y+3 z-5$$ is :

12

Let $$\overrightarrow{\mathrm{a}}=\alpha \hat{i}+\hat{j}-\hat{k}$$ and $$\overrightarrow{\mathrm{b}}=2 \hat{i}+\hat{j}-\alpha \hat{k}, \alpha>0$$. If the projection of $$\overrightarrow{\mathrm{a}} \times \overrightarrow{\mathrm{b}}$$ on the vector $$-\hat{i}+2 \hat{j}-2 \hat{k}$$ is 30, then $$\alpha$$ is equal to :

13

Let $$\mathrm{E}_{1}, \mathrm{E}_{2}, \mathrm{E}_{3}$$ be three mutually exclusive events such that $$\mathrm{P}\left(\mathrm{E}_{1}\right)=\frac{2+3 \mathrm{p}}{6}, \mathrm{P}\left(\mathrm{E}_{2}\right)=\frac{2-\mathrm{p}}{8}$$ and $$\mathrm{P}\left(\mathrm{E}_{3}\right)=\frac{1-\mathrm{p}}{2}$$. If the maximum and minimum values of $$\mathrm{p}$$ are $$\mathrm{p}_{1}$$ and $$\mathrm{p}_{2}$$, then $$\left(\mathrm{p}_{1}+\mathrm{p}_{2}\right)$$ is equal to :

14

$$\tan \left(2 \tan ^{-1} \frac{1}{5}+\sec ^{-1} \frac{\sqrt{5}}{2}+2 \tan ^{-1} \frac{1}{8}\right)$$ is equal to :

15

If for some $$\mathrm{p}, \mathrm{q}, \mathrm{r} \in \mathbf{R}$$, not all have same sign, one of the roots of the equation $$\left(\mathrm{p}^{2}+\mathrm{q}^{2}\right) x^{2}-2 \mathrm{q}(\mathrm{p}+\mathrm{r}) x+\mathrm{q}^{2}+\mathrm{r}^{2}=0$$ is also a root of the equation $$x^{2}+2 x-8=0$$, then $$\frac{\mathrm{q}^{2}+\mathrm{r}^{2}}{\mathrm{p}^{2}}$$ is equal to ____________,

16

The number of 5-digit natural numbers, such that the product of their digits is 36 , is __________.

17

The number of distinct real roots of the equation $$x^{5}\left(x^{3}-x^{2}-x+1\right)+x\left(3 x^{3}-4 x^{2}-2 x+4\right)-1=0$$ is ______________.

18

If $$\mathrm{n}(2 \mathrm{n}+1) \int_{0}^{1}\left(1-x^{\mathrm{n}}\right)^{2 \mathrm{n}} \mathrm{d} x=1177 \int_{0}^{1}\left(1-x^{\mathrm{n}}\right)^{2 \mathrm{n}+1} \mathrm{~d} x$$, then $$\mathrm{n} \in \mathbf{N}$$ is equal to ______________.

19

The equations of the sides $$\mathrm{AB}, \mathrm{BC}$$ and $$\mathrm{CA}$$ of a triangle $$\mathrm{ABC}$$ are $$2 x+y=0, x+\mathrm{p} y=15 \mathrm{a}$$ and $$x-y=3$$ respectively. If its orthocentre is $$(2, a),-\frac{1}{2}<\mathrm{a}<2$$, then $$\mathrm{p}$$ is equal to ______________.

20

Let the function $$f(x)=2 x^{2}-\log _{\mathrm{e}} x, x>0$$, be decreasing in $$(0, \mathrm{a})$$ and increasing in $$(\mathrm{a}, 4)$$. A tangent to the parabola $$y^{2}=4 a x$$ at a point $$\mathrm{P}$$ on it passes through the point $$(8 \mathrm{a}, 8 \mathrm{a}-1)$$ but does not pass through the point $$\left(-\frac{1}{a}, 0\right)$$. If the equation of the normal at $$P$$ is : $$\frac{x}{\alpha}+\frac{y}{\beta}=1$$, then $$\alpha+\beta$$ is equal to ________________.

21

Let $$\mathrm{Q}$$ and $$\mathrm{R}$$ be two points on the line $$\frac{x+1}{2}=\frac{y+2}{3}=\frac{z-1}{2}$$ at a distance $$\sqrt{26}$$ from the point $$P(4,2,7)$$. Then the square of the area of the triangle $$P Q R$$ is ___________.

Physics
1

Three masses $$M=100 \mathrm{~kg}, \mathrm{~m}_{1}=10 \mathrm{~kg}$$ and $$\mathrm{m}_{2}=20 \mathrm{~kg}$$ are arranged in a system as shown in figure. All the surfaces are frictionless and strings are inextensible and weightless. The pulleys are also weightless and frictionless. A force $$\mathrm{F}$$ is applied on the system so that the mass $$\mathrm{m}_{2}$$ moves upward with an acceleration of $$2 \mathrm{~ms}^{-2}$$. The value of $$\mathrm{F}$$ is :

( Take $$\mathrm{g}=10 \mathrm{~ms}^{-2}$$ )

JEE Main 2022 (Online) 26th July Morning Shift Physics - Laws of Motion Question 56 English

2

A parallel beam of light of wavelength $$900 \mathrm{~nm}$$ and intensity $$100 \,\mathrm{Wm}^{-2}$$ is incident on a surface perpendicular to the beam. The number of photons crossing $$1 \mathrm{~cm}^{2}$$ area perpendicular to the beam in one second is :

3

In Young's double slit experiment, the fringe width is $$12 \mathrm{~mm}$$. If the entire arrangement is placed in water of refractive index $$\frac{4}{3}$$, then the fringe width becomes (in mm):

4

The magnetic field of a plane electromagnetic wave is given by :

$$ \overrightarrow{\mathrm{B}}=2 \times 10^{-8} \sin \left(0.5 \times 10^{3} x+1.5 \times 10^{11} \mathrm{t}\right) \,\hat{j} \mathrm{~T}$$.

The amplitude of the electric field would be :

5

In a series $$L R$$ circuit $$X_{L}=R$$ and power factor of the circuit is $$P_{1}$$. When capacitor with capacitance $$C$$ such that $$X_{L}=X_{C}$$ is put in series, the power factor becomes $$P_{2}$$. The ratio $$\frac{P_{1}}{P_{2}}$$ is:

6

A charge particle is moving in a uniform magnetic field $$(2 \hat{i}+3 \hat{j}) \,\mathrm{T}$$. If it has an acceleration of $$(\alpha \hat{i}-4 \hat{j})\, \mathrm{m} / \mathrm{s}^{2}$$, then the value of $$\alpha$$ will be :

7

$$\mathrm{B}_{X}$$ and $$\mathrm{B}_{\mathrm{Y}}$$ are the magnetic fields at the centre of two coils $$\mathrm{X}$$ and $$\mathrm{Y}$$ respectively each carrying equal current. If coil $$X$$ has 200 turns and $$20 \mathrm{~cm}$$ radius and coil $$Y$$ has 400 turns and $$20 \mathrm{~cm}$$ radius, the ratio of $$B_{X}$$ and $$B_{Y}$$ is :

8

The current I in the given circuit will be :

JEE Main 2022 (Online) 26th July Morning Shift Physics - Current Electricity Question 134 English

9

The total charge on the system of capacitors $$C_{1}=1 \mu \mathrm{F}, C_{2}=2 \mu \mathrm{F}, \mathrm{C}_{3}=4 \mu \mathrm{F}$$ and $$\mathrm{C}_{4}=3 \mu \mathrm{F}$$ connected in parallel is :

(Assume a battery of $$20 \mathrm{~V}$$ is connected to the combination)

10

When a particle executes Simple Hormonic Motion, the nature of graph of velocity as a function of displacement will be :

11

7 mol of a certain monoatomic ideal gas undergoes a temperature increase of $$40 \mathrm{~K}$$ at constant pressure. The increase in the internal energy of the gas in this process is :

(Given $$\mathrm{R}=8.3 \,\mathrm{JK}^{-1} \mathrm{~mol}^{-1}$$ )

12

A monoatomic gas at pressure $$\mathrm{P}$$ and volume $$\mathrm{V}$$ is suddenly compressed to one eighth of its original volume. The final pressure at constant entropy will be :

13

A water drop of radius $$1 \mathrm{~cm}$$ is broken into 729 equal droplets. If surface tension of water is 75 dyne/ $$\mathrm{cm}$$, then the gain in surface energy upto first decimal place will be :

(Given $$\pi=3.14$$ )

14

The percentage decrease in the weight of a rocket, when taken to a height of $$32 \mathrm{~km}$$ above the surface of earth will, be :

$$($$ Radius of earth $$=6400 \mathrm{~km})$$

15

As per the given figure, two blocks each of mass $$250 \mathrm{~g}$$ are connected to a spring of spring constant $$2 \,\mathrm{Nm}^{-1}$$. If both are given velocity $$v$$ in opposite directions, then maximum elongation of the spring is :

JEE Main 2022 (Online) 26th July Morning Shift Physics - Work Power & Energy Question 62 English

16

A monkey of mass $$50 \mathrm{~kg}$$ climbs on a rope which can withstand the tension (T) of $$350 \mathrm{~N}$$. If monkey initially climbs down with an acceleration of $$4 \mathrm{~m} / \mathrm{s}^{2}$$ and then climbs up with an acceleration of $$5 \mathrm{~m} / \mathrm{s}^{2}$$. Choose the correct option $$\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)$$.

17

Two projectiles thrown at $$30^{\circ}$$ and $$45^{\circ}$$ with the horizontal respectively, reach the maximum height in same time. The ratio of their initial velocities is :

18

A screw gauge of pitch $$0.5 \mathrm{~mm}$$ is used to measure the diameter of uniform wire of length $$6.8 \mathrm{~cm}$$, the main scale reading is $$1.5 \mathrm{~mm}$$ and circular scale reading is 7 . The calculated curved surface area of wire to appropriate significant figures is :

[Screw gauge has 50 divisions on its circular scale]

19

If the initial velocity in horizontal direction of a projectile is unit vector $$\hat{i}$$ and the equation of trajectory is $$y=5 x(1-x)$$. The $$y$$ component vector of the initial velocity is ______________ $$\hat{j}$$. ($$\mathrm{Take}$$ $$\left.\mathrm{g}=10 \mathrm{~m} / \mathrm{s}^{2}\right)$$

20

A disc of mass $$1 \mathrm{~kg}$$ and radius $$\mathrm{R}$$ is free to rotate about a horizontal axis passing through its centre and perpendicular to the plane of disc. A body of same mass as that of disc is fixed at the highest point of the disc. Now the system is released, when the body comes to the lowest position, its angular speed will be $$4 \sqrt{\frac{x}{3 R}} \,\operatorname{rad}{s}^{-1}$$ where $$x=$$ ____________. $$\left(g=10 \mathrm{~ms}^{-2}\right)$$

21

In an experiment to determine the Young's modulus of wire of a length exactly $$1 \mathrm{~m}$$, the extension in the length of the wire is measured as $$0.4 \mathrm{~mm}$$ with an uncertainty of $$\pm\, 0.02 \mathrm{~mm}$$ when a load of $$1 \mathrm{~kg}$$ is applied. The diameter of the wire is measured as $$0.4 \mathrm{~mm}$$ with an uncertainty of $$\pm \,0.01 \mathrm{~mm}$$. The error in the measurement of Young's modulus $$(\Delta \mathrm{Y})$$ is found to be $$x \times 10^{10}\, \mathrm{Nm}^{-2}$$. The value of $$x$$ is _________________. $$\left(\right.$$take $$\mathrm{g}=10 \mathrm{~ms}^{-2}$$ )

22

A composite parallel plate capacitor is made up of two different dielectric materials with different thickness $$\left(t_{1}\right.$$ and $$\left.t_{2}\right)$$ as shown in figure. The two different dielectric materials are separated by a conducting foil $$\mathrm{F}$$. The voltage of the conducting foil is V.

JEE Main 2022 (Online) 26th July Morning Shift Physics - Capacitor Question 56 English

23

Resistances are connected in a meter bridge circuit as shown in the figure. The balancing length $$l_{1}$$ is $$40 \mathrm{~cm}$$. Now an unknown resistance $$x$$ is connected in series with $$\mathrm{P}$$ and new balancing length is found to be $$80 \mathrm{~cm}$$ measured from the same end. Then the value of $$x$$ will be ____________ $$\Omega$$.

JEE Main 2022 (Online) 26th July Morning Shift Physics - Current Electricity Question 135 English

24

The effective current I in the given circuit at very high frequencies will be ___________ A.

JEE Main 2022 (Online) 26th July Morning Shift Physics - Alternating Current Question 73 English

25

The graph between $$\frac{1}{u}$$ and $$\frac{1}{v}$$ for a thin convex lens in order to determine its focal length is plotted as shown in the figure. The refractive index of lens is $$1.5$$ and its both the surfaces have same radius of curvature $$R$$. The value of $$R$$ will be ____________ $$\mathrm{cm} .$$ (where $$u=$$ object distance, $$v=$$ image distance)

JEE Main 2022 (Online) 26th July Morning Shift Physics - Geometrical Optics Question 107 English

26

In the hydrogen spectrum, $$\lambda$$ be the wavelength of first transition line of Lyman series. The wavelength difference will be "a$$\lambda$$'' between the wavelength of $$3^{\text {rd }}$$ transition line of Paschen series and that of $$2^{\text {nd }}$$ transition line of Balmer series where $$\mathrm{a}=$$ ___________.

27

In the circuit shown below, maximum zener diode current will be _________ $$\mathrm{mA}$$.

JEE Main 2022 (Online) 26th July Morning Shift Physics - Semiconductor Question 74 English

1
JEE Main 2022 (Online) 26th July Morning Shift
Numerical
+4
-1

$$2.4 \mathrm{~g}$$ coal is burnt in a bomb calorimeter in excess of oxygen at $$298 \mathrm{~K}$$ and $$1 \mathrm{~atm}$$ pressure. The temperature of the calorimeter rises from $$298 \mathrm{~K}$$ to $$300 \mathrm{~K}$$. The enthalpy change during the combustion of coal is $$-x \mathrm{~kJ} \mathrm{~mol}^{-1}$$. The value of $$x$$ is ___________. (Nearest Integer)

(Given : Heat capacity of bomb calorimeter $$20.0 \mathrm{~kJ} \mathrm{~K}^{-1}$$. Assume coal to be pure carbon)

Your input ____
2
JEE Main 2022 (Online) 26th July Morning Shift
Numerical
+4
-1

When 800 mL of 0.5 M nitric acid is heated in a beaker, its volume is reduced to half and 11.5 g of nitric acid is evaporated. The molarity of the remaining nitric acid solution is x $$\times$$ 10$$-$$2 M. (Nearest integer)

(Molar mass of nitric acid is 63 g mol$$-$$1)

Your input ____
3
JEE Main 2022 (Online) 26th July Morning Shift
Numerical
+4
-1

At $$298 \mathrm{~K}$$, the equilibrium constant is $$2 \times 10^{15}$$ for the reaction :

$$\mathrm{Cu}(\mathrm{s})+2 \mathrm{Ag}^{+}(\mathrm{aq}) \rightleftharpoons \mathrm{Cu}^{2+}(\mathrm{aq})+2 \mathrm{Ag}(\mathrm{s})$$

The equilibrium constant for the reaction

$$ \frac{1}{2} \mathrm{Cu}^{2+}(\mathrm{aq})+\mathrm{Ag}(\mathrm{s}) \rightleftharpoons \frac{1}{2} \mathrm{Cu}(\mathrm{s})+\mathrm{Ag}^{+}(\mathrm{aq}) $$

is $$x \times 10^{-8}$$. The value of $$x$$ is _____________. (Nearest Integer)

Your input ____
4
JEE Main 2022 (Online) 26th July Morning Shift
Numerical
+4
-1

The amount of charge in $$\mathrm{F}$$ (Faraday) required to obtain one mole of iron from $$\mathrm{Fe}_{3} \mathrm{O}_{4}$$ is ___________. (Nearest Integer)

Your input ____
Subject
Chemistry
24
Mathematics
21
Physics
27
More Papers of JEE Main
2025
JEE Main 2025 (Online) 8th April Evening ShiftJEE Main 2025 (Online) 7th April Evening ShiftJEE Main 2025 (Online) 7th April Morning ShiftJEE Main 2025 (Online) 4th April Evening ShiftJEE Main 2025 (Online) 4th April Morning ShiftJEE Main 2025 (Online) 3rd April Evening ShiftJEE Main 2025 (Online) 3rd April Morning ShiftJEE Main 2025 (Online) 2nd April Evening ShiftJEE Main 2025 (Online) 2nd April Morning ShiftJEE Main 2025 (Online) 29th January Evening ShiftJEE Main 2025 (Online) 29th January Morning ShiftJEE Main 2025 (Online) 28th January Evening ShiftJEE Main 2025 (Online) 28th January Morning ShiftJEE Main 2025 (Online) 24th January Evening ShiftJEE Main 2025 (Online) 24th January Morning ShiftJEE Main 2025 (Online) 23rd January Evening ShiftJEE Main 2025 (Online) 23rd January Morning ShiftJEE Main 2025 (Online) 22nd January Evening ShiftJEE Main 2025 (Online) 22nd January Morning Shift
2024
JEE Main 2024 (Online) 9th April Evening ShiftJEE Main 2024 (Online) 9th April Morning ShiftJEE Main 2024 (Online) 8th April Evening ShiftJEE Main 2024 (Online) 8th April Morning ShiftJEE Main 2024 (Online) 6th April Evening ShiftJEE Main 2024 (Online) 6th April Morning ShiftJEE Main 2024 (Online) 5th April Evening ShiftJEE Main 2024 (Online) 5th April Morning ShiftJEE Main 2024 (Online) 4th April Evening ShiftJEE Main 2024 (Online) 4th April Morning ShiftJEE Main 2024 (Online) 1st February Evening ShiftJEE Main 2024 (Online) 1st February Morning ShiftJEE Main 2024 (Online) 31st January Evening ShiftJEE Main 2024 (Online) 31st January Morning ShiftJEE Main 2024 (Online) 30th January Evening ShiftJEE Main 2024 (Online) 30th January Morning ShiftJEE Main 2024 (Online) 29th January Evening ShiftJEE Main 2024 (Online) 29th January Morning ShiftJEE Main 2024 (Online) 27th January Evening ShiftJEE Main 2024 (Online) 27th January Morning Shift
2023
JEE Main 2023 (Online) 15th April Morning ShiftJEE Main 2023 (Online) 13th April Evening ShiftJEE Main 2023 (Online) 13th April Morning ShiftJEE Main 2023 (Online) 12th April Morning ShiftJEE Main 2023 (Online) 11th April Evening ShiftJEE Main 2023 (Online) 11th April Morning ShiftJEE Main 2023 (Online) 10th April Evening ShiftJEE Main 2023 (Online) 10th April Morning ShiftJEE Main 2023 (Online) 8th April Evening ShiftJEE Main 2023 (Online) 8th April Morning ShiftJEE Main 2023 (Online) 6th April Evening ShiftJEE Main 2023 (Online) 6th April Morning ShiftJEE Main 2023 (Online) 1st February Evening ShiftJEE Main 2023 (Online) 1st February Morning ShiftJEE Main 2023 (Online) 31st January Evening ShiftJEE Main 2023 (Online) 31st January Morning ShiftJEE Main 2023 (Online) 30th January Evening ShiftJEE Main 2023 (Online) 30th January Morning ShiftJEE Main 2023 (Online) 29th January Evening ShiftJEE Main 2023 (Online) 29th January Morning ShiftJEE Main 2023 (Online) 25th January Evening ShiftJEE Main 2023 (Online) 25th January Morning ShiftJEE Main 2023 (Online) 24th January Evening ShiftJEE Main 2023 (Online) 24th January Morning Shift
2022
JEE Main 2022 (Online) 29th July Evening ShiftJEE Main 2022 (Online) 29th July Morning ShiftJEE Main 2022 (Online) 28th July Evening ShiftJEE Main 2022 (Online) 28th July Morning ShiftJEE Main 2022 (Online) 27th July Evening ShiftJEE Main 2022 (Online) 27th July Morning ShiftJEE Main 2022 (Online) 26th July Evening ShiftJEE Main 2022 (Online) 26th July Morning ShiftJEE Main 2022 (Online) 25th July Evening ShiftJEE Main 2022 (Online) 25th July Morning ShiftJEE Main 2022 (Online) 30th June Morning ShiftJEE Main 2022 (Online) 29th June Evening ShiftJEE Main 2022 (Online) 29th June Morning ShiftJEE Main 2022 (Online) 28th June Evening ShiftJEE Main 2022 (Online) 28th June Morning ShiftJEE Main 2022 (Online) 27th June Evening ShiftJEE Main 2022 (Online) 27th June Morning ShiftJEE Main 2022 (Online) 26th June Evening ShiftJEE Main 2022 (Online) 26th June Morning ShiftJEE Main 2022 (Online) 25th June Evening ShiftJEE Main 2022 (Online) 25th June Morning ShiftJEE Main 2022 (Online) 24th June Evening ShiftJEE Main 2022 (Online) 24th June Morning Shift
2021
JEE Main 2021 (Online) 1st September Evening ShiftJEE Main 2021 (Online) 31st August Evening ShiftJEE Main 2021 (Online) 31st August Morning ShiftJEE Main 2021 (Online) 27th August Evening ShiftJEE Main 2021 (Online) 27th August Morning ShiftJEE Main 2021 (Online) 26th August Evening ShiftJEE Main 2021 (Online) 26th August Morning ShiftJEE Main 2021 (Online) 27th July Evening ShiftJEE Main 2021 (Online) 27th July Morning ShiftJEE Main 2021 (Online) 25th July Evening ShiftJEE Main 2021 (Online) 25th July Morning ShiftJEE Main 2021 (Online) 22th July Evening ShiftJEE Main 2021 (Online) 20th July Evening ShiftJEE Main 2021 (Online) 20th July Morning ShiftJEE Main 2021 (Online) 18th March Evening ShiftJEE Main 2021 (Online) 18th March Morning ShiftJEE Main 2021 (Online) 17th March Evening ShiftJEE Main 2021 (Online) 17th March Morning ShiftJEE Main 2021 (Online) 16th March Evening ShiftJEE Main 2021 (Online) 16th March Morning ShiftJEE Main 2021 (Online) 26th February Evening ShiftJEE Main 2021 (Online) 26th February Morning ShiftJEE Main 2021 (Online) 25th February Evening ShiftJEE Main 2021 (Online) 25th February Morning ShiftJEE Main 2021 (Online) 24th February Evening ShiftJEE Main 2021 (Online) 24th February Morning Shift
2020
JEE Main 2020 (Online) 6th September Evening SlotJEE Main 2020 (Online) 6th September Morning SlotJEE Main 2020 (Online) 5th September Evening SlotJEE Main 2020 (Online) 5th September Morning SlotJEE Main 2020 (Online) 4th September Evening SlotJEE Main 2020 (Online) 4th September Morning SlotJEE Main 2020 (Online) 3rd September Evening SlotJEE Main 2020 (Online) 3rd September Morning SlotJEE Main 2020 (Online) 2nd September Evening SlotJEE Main 2020 (Online) 2nd September Morning SlotJEE Main 2020 (Online) 9th January Evening SlotJEE Main 2020 (Online) 9th January Morning SlotJEE Main 2020 (Online) 8th January Evening SlotJEE Main 2020 (Online) 8th January Morning SlotJEE Main 2020 (Online) 7th January Evening SlotJEE Main 2020 (Online) 7th January Morning Slot
2019
JEE Main 2019 (Online) 12th April Evening SlotJEE Main 2019 (Online) 12th April Morning SlotJEE Main 2019 (Online) 10th April Evening SlotJEE Main 2019 (Online) 10th April Morning SlotJEE Main 2019 (Online) 9th April Evening SlotJEE Main 2019 (Online) 9th April Morning SlotJEE Main 2019 (Online) 8th April Evening SlotJEE Main 2019 (Online) 8th April Morning SlotJEE Main 2019 (Online) 12th January Evening SlotJEE Main 2019 (Online) 12th January Morning SlotJEE Main 2019 (Online) 11th January Evening SlotJEE Main 2019 (Online) 11th January Morning SlotJEE Main 2019 (Online) 10th January Evening SlotJEE Main 2019 (Online) 10th January Morning SlotJEE Main 2019 (Online) 9th January Evening SlotJEE Main 2019 (Online) 9th January Morning Slot
2018
JEE Main 2018 (Online) 16th April Morning SlotJEE Main 2018 (Offline)JEE Main 2018 (Online) 15th April Evening SlotJEE Main 2018 (Online) 15th April Morning Slot
2017
JEE Main 2017 (Online) 9th April Morning SlotJEE Main 2017 (Online) 8th April Morning SlotJEE Main 2017 (Offline)
2016
JEE Main 2016 (Online) 10th April Morning SlotJEE Main 2016 (Online) 9th April Morning SlotJEE Main 2016 (Offline)
2015
JEE Main 2015 (Offline)
2014
JEE Main 2014 (Offline)
2013
JEE Main 2013 (Offline)
2012
AIEEE 2012
2011
AIEEE 2011
2010
AIEEE 2010
2009
AIEEE 2009
2008
AIEEE 2008
2007
AIEEE 2007
2006
AIEEE 2006
2005
AIEEE 2005
2004
AIEEE 2004
2003
AIEEE 2003
2002
AIEEE 2002
JEE Main Papers
2021
JEE Main 2021 (Online) 1st September Evening Shift
English
Hindi
JEE Main 2021 (Online) 31st August Evening Shift
English
Hindi
JEE Main 2021 (Online) 31st August Morning Shift
English
Hindi
JEE Main 2021 (Online) 27th August Evening Shift
English
Hindi
JEE Main 2021 (Online) 27th August Morning Shift
English
Hindi
JEE Main 2021 (Online) 26th August Evening Shift
English
Hindi
JEE Main 2021 (Online) 26th August Morning Shift
English
Hindi
JEE Main 2021 (Online) 27th July Evening Shift
English
Hindi
JEE Main 2021 (Online) 27th July Morning Shift
English
Hindi
JEE Main 2021 (Online) 25th July Evening Shift
English
Hindi
JEE Main 2021 (Online) 25th July Morning Shift
English
Hindi
JEE Main 2021 (Online) 22th July Evening Shift
English
Hindi
JEE Main 2021 (Online) 20th July Evening Shift
English
Hindi
JEE Main 2021 (Online) 20th July Morning Shift
English
Hindi
JEE Main 2021 (Online) 18th March Evening Shift
English
Hindi
JEE Main 2021 (Online) 18th March Morning Shift
English
Hindi
JEE Main 2021 (Online) 17th March Evening Shift
English
Hindi
JEE Main 2021 (Online) 17th March Morning Shift
English
Hindi
JEE Main 2021 (Online) 16th March Evening Shift
English
Hindi
JEE Main 2021 (Online) 16th March Morning Shift
English
Hindi
JEE Main 2021 (Online) 26th February Evening Shift
English
Hindi
JEE Main 2021 (Online) 26th February Morning Shift
English
Hindi
JEE Main 2021 (Online) 25th February Evening Shift
English
Hindi
JEE Main 2021 (Online) 25th February Morning Shift
English
Hindi
JEE Main 2021 (Online) 24th February Evening Shift
English
Hindi
JEE Main 2021 (Online) 24th February Morning Shift
English
Hindi