JEE Main 31 January 2023 Shift 2 Question Paper

Question 1

The equation $e^{4x}+8e^{3x}+13e^{2x}-8e^{x}+1=0,\ x\in\mathbb{R}$ has:

Accepted Answer

(C) two solutions and both are negative

Answer

(A) four solutions two of which are negative

Answer

(B) two solutions and only one of them is negative

Answer

(D) no solution

Question 2

Among the relations $S=\left\{(a,b):a,b\in\mathbb{R}-\{0\},\,2+\dfrac{a}{b}>0\right\}$ and $T=\{(a,b):a,b\in\mathbb{R},\,a^2-b^2\in\mathbb{Z}\}$,

Accepted Answer

(C) $T$ is symmetric but $S$ is not

Answer

(A) neither $S$ nor $T$ is transitive

Answer

(B) $S$ is transitive but $T$ is not

Answer

(D) both $S$ and $T$ are symmetric

Question 3

Let $\alpha>0$. If $\displaystyle\int_{0}^{\alpha}\dfrac{x}{\sqrt{x+\alpha}-\sqrt{x}}dx=\dfrac{16+20\sqrt2}{15}$, then $\alpha$ is equal to:

Accepted Answer

(D) $2$

Answer

(A) $4$

Answer

(B) $2\sqrt2$

Answer

(C) $\sqrt2$

Question 4

The complex number $z=\dfrac{i-1}{\cos\frac{\pi}{3}+i\sin\frac{\pi}{3}}$ is equal to:

Accepted Answer

(C) $\sqrt2\left(\cos\frac{5\pi}{12}+i\sin\frac{5\pi}{12}\right)$

Answer

(A) $\sqrt2 i\left(\cos\frac{5\pi}{12}-i\sin\frac{5\pi}{12}\right)$

Answer

(B) $\sqrt2\left(\cos\frac{\pi}{12}+i\sin\frac{\pi}{12}\right)$

Answer

(D) $\cos\frac{\pi}{12}-i\sin\frac{\pi}{12}$

Question 5

Let $y=y(x)$ be the solution of the differential equation $(3y^2-5x^2)y\,dx+2x(x^2-y^2)dy=0$ such that $y(1)=1$. Then $\left|(y(2))^3-12y(2)\right|$ is equal to:

Accepted Answer

(B) $32\sqrt2$

Answer

(A) $16\sqrt2$

Answer

(C) $32$

Answer

(D) $64$

Question 6

$\displaystyle\lim_{x	o\infty}\dfrac{(\sqrt{3x+1}+\sqrt{3x-1})^6+(\sqrt{3x+1}-\sqrt{3x-1})^6}{(x+\sqrt{x^2-1})^6+(x-\sqrt{x^2-1})^6}x^3$

Accepted Answer

(B) is equal to $27$

Answer

(A) does not exist

Answer

(C) is equal to $\dfrac{27}{2}$

Answer

(D) is equal to $9$

Question 7

The foot of perpendicular from the origin $O$ to a plane $P$ which meets the co-ordinate axes at the points $A,B,C$ is $(2,a,4),\ a\in\mathbb{N}$. If the volume of the tetrahedron $OABC$ is $144$ unit$^3$, then which of the following points is NOT on $P$?

Accepted Answer

(D) $(3,0,4)$

Answer

(A) $(0,6,3)$

Answer

(B) $(0,4,4)$

Answer

(C) $(2,2,4)$

Question 8

Let $(a,b)\subset(0,2\pi)$ be the largest interval for which $\sin^{-1}(\sin	heta)-\cos^{-1}(\sin	heta)>0,\ 	heta\in(0,2\pi)$, holds. If $\alpha x^2+\beta x+\sin^{-1}(x^2-6x+10)+\cos^{-1}(x^2-6x+10)=0$ and $\alpha-\beta=b-a$, then $\alpha$ is equal to:

Accepted Answer

(C) $\dfrac{\pi}{12}$

Answer

(A) $\dfrac{\pi}{16}$

Answer

(B) $\dfrac{\pi}{48}$

Answer

(D) $\dfrac{\pi}{8}$

Question 9

Let the mean and standard deviation of marks of class A of 100 students be respectively 40 and $\alpha\,(>0)$, and the mean and standard deviation of marks of class B of $n$ students be respectively 55 and $30-\alpha$. If the mean and variance of the marks of the combined class of $100+n$ students are respectively 50 and 350, then the sum of variances of classes $A$ and $B$ is:

Accepted Answer

(D) $500$

Answer

(A) $650$

Answer

(B) $450$

Answer

(C) $900$

Question 10

The absolute minimum value, of the function $f(x)=|x^2-x+1|+[x^2-x+1]$, where $[t]$ denotes the greatest integer function, in the interval $[-1,2]$, is:

Accepted Answer

(D) $\dfrac34$

Answer

(A) $\dfrac14$

Answer

(B) $\dfrac32$

Answer

(C) $\dfrac54$

Question 11

Let H be the hyperbola, whose foci are $(1\pm\sqrt2,0)$ and eccentricity is $\sqrt2$. Then the length of its latus rectum is

Accepted Answer

(B) $2$

Answer

(A) $\dfrac32$

Answer

(C) $3$

Answer

(D) $\dfrac52$

Question 12

Let $a_1,a_2,a_3,\ldots$ be an A.P. If $a_7=3$, the product $a_1a_4$ is minimum and the sum of its first $n$ terms is zero, then $n!-4a_{n(n+2)}$ is equal to:

Accepted Answer

(D) $24$

Answer

(A) $9$

Answer

(B) $\dfrac{33}{4}$

Answer

(C) $\dfrac{381}{4}$

Question 13

If a point $P(\alpha,\beta,\gamma)$ satisfying $(\alpha\ \beta\ \gamma)\begin{pmatrix}2&10&8\9&3&8\8&4&8\end{pmatrix}=(0\ 0\ 0)$ lies on the plane $2x+4y+3z=5$, then $6\alpha+9\beta+7\gamma$ is equal to:

Accepted Answer

(D) $11$

Answer

(A) $-1$

Answer

(B) $\dfrac{11}{5}$

Answer

(C) $\dfrac54$

Question 14

Let $\vec a=\hat i+2\hat j+3\hat k,\ \vec b=\hat i-\hat j+2\hat k$ and $\vec c=5\hat i-3\hat j+3\hat k$ be three vectors. If $\vec r$ is a vector such that $\vec r	imes\vec b=\vec c	imes\vec b$ and $\vec r\cdot\vec a=0$, then $25|\vec r|^2$ is equal to

Accepted Answer

(C) $339$

Answer

(A) $560$

Answer

(B) $449$

Answer

(D) $336$

Question 15

Let the plane $P:8x+\alpha_1 y+\alpha_2 z+12=0$ be parallel to the line $L:\dfrac{x+2}{2}=\dfrac{y-3}{3}=\dfrac{z+4}{5}$. If the intercept of $P$ on the $y$-axis is 1, then the distance between $P$ and $L$ is:

Accepted Answer

(D) $\sqrt{14}$

Answer

(A) $\sqrt{\dfrac72}$

Answer

(B) $\sqrt{\dfrac27}$

Answer

(C) $\dfrac{6}{\sqrt{14}}$

Question 16

Let $P$ be the plane, passing through the point $(1,-1,-5)$ and perpendicular to the line joining the points $(4,1,-3)$ and $(2,4,3)$. Then the distance of $P$ from the point $(3,-2,2)$ is

Accepted Answer

(A) $5$

Answer

(B) $4$

Answer

(C) $7$

Answer

(D) $6$

Question 17

The number of values of $r\in\{p,q,\sim p,\sim q\}$ for which $((p\wedge q)\Rightarrow(r\vee q))\wedge((p\wedge r)\Rightarrow q)$ is a tautology, is:

Accepted Answer

(D) $2$

Answer

(A) $3$

Answer

(B) $4$

Answer

(C) $1$

Question 18

The set of all values of $a^2$ for which the line $x+y=0$ bisects two distinct chords drawn from a point $P\left(\dfrac{1+a}{2},\dfrac{1-a}{2}\right)$ on the circle $2x^2+2y^2-(1+a)x-(1-a)y=0$, is equal to:

Accepted Answer

(D) $(8,\infty)$

Answer

(A) $(0,4]$

Answer

(B) $(4,\infty)$

Answer

(C) $(2,12]$

Question 19

If $\phi(x)=\dfrac{1}{\sqrt{x}}\displaystyle\int_{\frac{\pi}{4}}^{x}\left(4\sqrt2\sin t-3\phi'(t)\right)dt,\ x>0$, then $\phi'\left(\dfrac{\pi}{4}\right)$ is equal to:

Accepted Answer

(A) $\dfrac{8}{6+\sqrt\pi}$

Answer

(B) $\dfrac{4}{6+\sqrt\pi}$

Answer

(C) $\dfrac{8}{\sqrt\pi}$

Answer

(D) $\dfrac{4}{6-\sqrt\pi}$

Question 20

Let $f:\mathbb{R}-\{2,6\}	o\mathbb{R}$ be real valued function defined as $f(x)=\dfrac{x^2+2x+1}{x^2-8x+12}$. Then range of $f$ is

Accepted Answer

(D) $\left(-\infty,-\dfrac{21}{4}\right]\cup[0,\infty)$

Answer

(A) $\left(-\infty,-\dfrac{21}{4}\right]\cup(0,\infty)$

Answer

(B) $\left(-\infty,-\dfrac{21}{4}\right]\cup[1,\infty)$

Answer

(C) $\left(-\infty,-\dfrac{21}{4}\right]\cup\left[\dfrac{21}{4},\infty\right)$

Question 21

Let $A=[a_{ij}],\ a_{ij}\in\mathbb{Z}\cap[0,4],\ 1\le i,j\le2$. The number of matrices $A$ such that the sum of all entries is a prime number $p\in(2,13)$ is

Accepted Answer

204

Question 22

Let $A$ be a $n	imes n$ matrix such that $|A|=2$. If the determinant of the matrix $\mathrm{Adj}\left(2\cdot\mathrm{Adj}(2A^{-1})ight)$ is $2^{84}$, then $n$ is equal to

Accepted Answer

84

Question 23

If the constant term in the binomial expansion of $\left(\dfrac{x^{5/2}}{2}-\dfrac{4}{x^{l}}\right)^{9}$ is $-84$ and the coefficient of $x^{-3l}$ is $2^{\alpha}\beta$, where $\beta<0$ is an odd number, then $|\alpha l-\beta|$ is equal to

Accepted Answer

98

Question 24

Let $S$ be the set of all $a\in\mathbb{N}$ such that the area of the triangle formed by the tangent at the point $P(b,c),\ b,c\in\mathbb{N}$, on the parabola $y^2=2ax$ and the lines $x=b,\ y=0$ is $16$ unit$^2$, then $\displaystyle\sum_{a\in S}a$ is equal to

Accepted Answer

146

Question 25

Let the area of the region $\{(x,y):|2x-1|\le y\le|x^2-x|,\ 0\le x\le1\}$ be $A$. Then $(6A+11)^2$ is equal to

Accepted Answer

125

Question 26

The coefficient of $x^{-6}$, in the expansion of $\left(\dfrac{4x}{5}+\dfrac{5}{2x^2}\right)^{9}$, is

Accepted Answer

5040

Question 27

Let $A$ be the event that the absolute difference between two randomly chosen real numbers in the sample space $[0,60]$ is less than or equal to $a$. If $P(A)=\dfrac{11}{36}$, then $a$ is equal to

Accepted Answer

10

Question 28

If $^{2n+1}P_{n-1}:{}^{2n-1}P_{n}=11:21$, then $n^2+n+15$ is equal to:

Accepted Answer

45

Question 29

Let $\vec a,\vec b,\vec c$ be three vectors such that $|\vec a|=\sqrt{31},\ 4|\vec b|=|\vec c|=2$ and $2(\vec a	imes\vec b)=3(\vec c	imes\vec a)$. If the angle between $\vec b$ and $\vec c$ is $\dfrac{2\pi}{3}$, then $\left(\dfrac{\vec a	imes\vec c}{\vec a\cdot\vec b}ight)^2$ is equal to

Accepted Answer

3

Question 30

The sum $1^2-2\cdot3^2+3\cdot5^2-4\cdot7^2+5\cdot9^2-\cdots+15\cdot29^2$ is

Accepted Answer

6952

Question 31

Given below are two statements:
Statement I: In a typical transistor, all three regions emitter, base and collector have same doping level.
Statement II: In a transistor, collector is the thickest and base is the thinnest segment.
In the light of the above statements, choose the most appropriate answer from the options given below.

Accepted Answer

(B) Statement I is incorrect but Statement II is correct

Answer

(A) Both Statement I and Statement II are correct

Answer

(C) Statement I is correct but Statement II is incorrect

Answer

(D) Both Statement I and Statement II are incorrect

Question 32

If the two metals $A$ and $B$ are exposed to radiation of wavelength $350$ nm. The work functions of metals $A$ and $B$ are $4.8$ eV and $2.2$ eV. Then choose the correct option.

Accepted Answer

(B) Metal A will not emit photo-electrons

Answer

(A) Both metals A and B will emit photo-electrons

Answer

(C) Metal B will not emit photo-electrons

Answer

(D) Both metals A and B will not emit photo-electrons

Question 33

Heat energy of $735$ J is given to a diatomic gas allowing the gas to expand at constant pressure. Each gas molecule rotates around an internal axis but do not oscillate. The increase in the internal energy of the gas will be:

Accepted Answer

(A) $525$ J

Answer

(B) $441$ J

Answer

(C) $572$ J

Answer

(D) $735$ J

Question 34

Match List I (physical quantities) with List II (dimensional formulae). Choose the correct answer from the options given below:

Accepted Answer

(A) A-III, B-I, C-IV, D-II

Answer

(B) A-III, B-II, C-IV, D-I

Answer

(C) A-IV, B-II, C-I, D-III

Answer

(D) A-I, B-IV, C-III, D-II

Question 35

A microscope is focused on an object at the bottom of a bucket. If liquid with refractive index $\dfrac53$ is poured inside the bucket, then microscope have to be raised by $30$ cm to focus the object again. The height of the liquid in the bucket is:

Accepted Answer

(D) $75$ cm

Answer

(A) $12$ cm

Answer

(B) $50$ cm

Answer

(C) $18$ cm

Question 36

The number of turns of the coil of a moving coil galvanometer is increased in order to increase current sensitivity by $50\%$. The percentage change in voltage sensitivity of the galvanometer will be:

Accepted Answer

(A) $0\%$

Answer

(B) $75\%$

Answer

(C) $50\%$

Answer

(D) $100\%$

Question 37

A body is moving with constant speed, in a circle of radius $10$ m. The body completes one revolution in $4$ s. At the end of $3^{rd}$ second, the displacement of body (in m) from its starting point is:

Accepted Answer

(B) $10\sqrt2$

Answer

(A) $15\pi$

Answer

(C) $30$

Answer

(D) $5\pi$

Question 38

The H amount of thermal energy is developed by a resistor in $10$ s when a current of $4$ A is passed through it. If the current is increased to $16$ A, the thermal energy developed by the resistor in $10$ s will be:

Accepted Answer

(B) $16H$

Answer

(A) $\dfrac{H}{4}$

Answer

(C) $4H$

Answer

(D) $H$

Question 39

A long conducting wire having a current I flowing through it, is bent into a circular coil of N turns. Then it is bent into a circular coil of n turns. The magnetic field is calculated at the centre of coils in both the cases. The ratio of the magnetic field in first case to that of second case is:

Accepted Answer

(C) $N^2:n^2$

Answer

(A) $n:N$

Answer

(B) $n^2:N^2$

Answer

(D) $N:n$

Question 40

A body weight W, is projected vertically upwards from earth's surface to reach a height above the earth which is equal to nine times the radius of earth. The weight of the body at that height will be:

Accepted Answer

(A) $\dfrac{w}{100}$

Answer

(B) $\dfrac{w}{91}$

Answer

(C) $\dfrac{w}{3}$

Answer

(D) $\dfrac{w}{9}$

Question 41

The radius of electron's second stationary orbit in Bohr's atom is R. The radius of 3rd orbit will be

Accepted Answer

(C) $2.25R$

Answer

(A) $\dfrac{R}{3}$

Answer

(B) $3R$

Answer

(D) $9R$

Question 42

A hypothetical gas expands adiabatically such that its volume changes from $8$ litres to $27$ litres. If the ratio of final pressure of the gas to initial pressure of the gas is $\dfrac{16}{81}$, then the ratio of $\dfrac{C_p}{C_v}$ will be:

Accepted Answer

(B) $\dfrac45$

Answer

(A) $\dfrac12$

Answer

(C) $\dfrac32$

Answer

(D) $\dfrac34$

Question 43

For a solid rod, the Young's modulus of elasticity is $3.2	imes10^{11}\,Nm^{-2}$ and density is $8	imes10^3$ kg m$^{-3}$. The velocity of longitudinal wave in the rod will be.

Accepted Answer

(D) $6.32	imes10^3~ms^{-1}$

Answer

(A) $145.75	imes10^3~ms^{-1}$

Answer

(B) $18.96	imes10^3~ms^{-1}$

Answer

(C) $3.65	imes10^3~ms^{-1}$

Question 44

A body of mass $10$ kg is moving with an initial speed of $20$ m/s. The body stops after $5$ s due to friction between body and the floor. The value of the coefficient of friction is: (Take acceleration due to gravity $g=10~ms^{-2}$)

Accepted Answer

(D) $0.4$

Answer

(A) $0.3$

Answer

(B) $0.5$

Answer

(C) $0.2$

Question 45

Given below are two statements:
Statement I: For transmitting a signal, size of antenna $(l)$ should be comparable to wavelength of signal (at least $l=\dfrac{\lambda}{4}$ in dimension).
Statement II: In amplitude modulation, amplitude of carrier wave remains constant (unchanged).
In the light of the above statements, choose the most appropriate answer from the options given below.

Accepted Answer

(A) Statement I is correct but Statement II is incorrect

Answer

(B) Both Statement I and Statement II are correct

Answer

(C) Statement I is incorrect but Statement II is correct

Answer

(D) Both Statement I and Statement II are incorrect

Question 46

An alternating voltage source $V=260\sin(628t)$ is connected across a pure inductor of $5$ mH. Inductive reactance in the circuit is:

Accepted Answer

(C) $3.14\,\Omega$

Answer

(A) $0.318\,\Omega$

Answer

(B) $6.28\,\Omega$

Answer

(D) $0.5\,\Omega$

Question 47

Under the same load, wire A having length $5.0$ m and cross section $2.5	imes10^{-5}~m^2$ stretches uniformly by the same amount as another wire B of length $6.0$ m and a cross section of $3.0	imes10^{-5}~m^2$ stretches. The ratio of the Young's modulus of wire A to that of wire B will be:

Accepted Answer

(A) $1:1$

Answer

(B) $1:10$

Answer

(C) $1:2$

Answer

(D) $1:4$

Question 48

Match List I (electromagnetic radiations) with List II (applications). Choose the correct answer from the options given below:

Accepted Answer

(A) A-IV, B-III, C-I, D-II

Answer

(B) A-IV, B-I, C-III, D-II

Answer

(C) A-III, B-II, C-I, D-IV

Answer

(D) A-II, B-IV, C-III, D-I

Question 49

Considering a group of positive charges, which of the following statements is correct?

Accepted Answer

(C) net potential of the system cannot be zero at a point but net electric field can be zero at that point.

Answer

(A) both the net potential and the net electric field cannot be zero at a point.

Answer

(B) net potential of the system at a point can be zero but net electric field can't be zero at that point.

Answer

(D) Both the net potential and the net field can be zero at a point.

Question 50

A series LCR circuit consists of $R=80\,\Omega$, $X_L=100\,\Omega$ and $X_C=40\,\Omega$. The input voltage is $2500\cos(100\pi t)$ V. The amplitude of current, in the circuit, is _________ A.

Accepted Answer

25

Question 51

Two bodies are projected from ground with same speeds $40~ms^{-1}$ at two different angles with respect to horizontal. The bodies were found to have same range. If one of the body was projected at an angle of $60°$ with horizontal then sum of the maximum heights, attained by the two projectiles, is _________ m. (Given $g=10~ms^{-2}$)

Accepted Answer

80

Question 52

For the given circuit, in the steady state, $|V_B-V_D|=$ _________ V.

Accepted Answer

1

Question 53

Two parallel plate capacitors $C_1$ and $C_2$ each having capacitance of $10\,\mu F$ are individually charged by a $100$ V D.C. source. Capacitor $C_1$ is kept connected to the source and a dielectric slab is inserted between it plates. Capacitor $C_2$ is disconnected from the source and then a dielectric slab is inserted in it. Afterwards the capacitor $C_1$ is also disconnected from the source and the two capacitors are finally connected in parallel combination. The common potential of the combination will be _________ V. (Assuming Dielectric constant $=10$)

Accepted Answer

55

Question 54

Two light waves of wavelengths $800$ and $600$ nm are used in Young's double slit experiment to obtain interference fringes on a screen placed $7$ m away from plane of slits. If the two slits are separated by $0.35$ mm, then shortest distance from the central bright maximum to the point where the bright fringes of the two wavelength coincide will be _________ mm.

Accepted Answer

48

Question 55

A ball is dropped from a height of $20$ m. If the coefficient of restitution for the collision between ball and floor is $0.5$, after hitting the floor, the ball rebounds to a height of _________ m.

Accepted Answer

5

Question 56

If the binding energy of ground state electron in a hydrogen atom is $13.6$ eV, then, the energy required to remove the electron from the second excited state of $Li^{2+}$ will be $x	imes10^{-1}$ eV. The value of $x$ is _________.

Accepted Answer

136

Question 57

A water heater of power $2000$ W is used to heat water. The specific heat capacity of water is $4200$ J kg$^{-1}$ K$^{-1}$. The efficiency of heater is $70\%$. Time required to heat $2$ kg of water from $10°C$ to $60°C$ is _________ s. (Assume that the specific heat capacity of water remains constant over the temperature range of the water).

Accepted Answer

300

Question 58

Two discs of same mass and different radii are made of different materials such that their thicknesses are $1$ cm and $0.5$ cm respectively. The densities of materials are in the ratio $3:5$. The moment of inertia of these discs respectively about their diameters will be in the ratio of $\dfrac{x}{6}$. The value of $x$ is _________.

Accepted Answer

5

Question 59

The displacement equations of two interfering waves are given by $y_1=10\sin\left(\omega t+\dfrac{\pi}{3}\right)$ cm, $y_2=5[\sin\omega t+\sqrt3\cos\omega t]$ cm respectively. The amplitude of the resultant wave is _________ cm.

Accepted Answer

20

Question 60

Which one of the following statements is incorrect?

Accepted Answer

(A) van Arkel method is used to purify tungsten.

Answer

(B) The malleable iron is prepared from cast iron by oxidising impurities in a reverberatory furnace.

Answer

(C) Cast iron is obtained by melting pig iron with scrap iron and coke using hot air blast.

Answer

(D) Boron and Indium can be purified by zone refining method.

Question 61

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): The first ionization enthalpy of 3d series elements is more than that of group 2 metals.
Reason (R): In 3d series of elements successive filling of d-orbitals takes place.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

(B) Both (A) and (R) are true and (R) is the correct explanation of (A)

Answer

(A) Both (A) and (R) are true but (R) is not the correct explanation of (A)

Answer

(C) (A) is true but (R) is false

Answer

(D) (A) is false but (R) is true

Question 62

Given below are two statements:
Statement I: $H_2O_2$ is used in the synthesis of Cephalosporin.
Statement II: $H_2O_2$ is used for the restoration of aerobic conditions to sewage wastes.
In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(D) Both Statement I and Statement II are incorrect

Answer

(A) Both Statement I and Statement II are correct

Answer

(B) Statement I is incorrect but Statement II is correct

Answer

(C) Statement I is correct but Statement II is incorrect

Question 63

A hydrocarbon 'X' with formula $C_6H_8$ uses two moles $H_2$ on catalytic hydrogenation of its one mole. On ozonolysis, 'X' yields two moles of methane dicarbaldehyde. The hydrocarbon 'X' is:

Accepted Answer

(A) cyclohexa-1,4-diene

Answer

(B) cyclohexa-1,3-diene

Answer

(C) 1-methylcyclopenta-1,4-diene

Answer

(D) hexa-1,3,5-triene

Question 64

Evaluate the following statements for their correctness. A. The elevation in boiling point temperature of water will be same for 0.1M NaCl and 0.1M urea. B. Azeotropic mixtures boil without change in their composition. C. Osmosis always takes place from hypertonic to hypotonic. D. The density of $32\%\,H_2SO_4$ solution having molarity 4.09M is approximately 1.26 g mL$^{-1}$. E. A negatively charged sol is obtained when KI solution is added to silver nitrate solution. Choose the correct answer from the options given below:

Accepted Answer

(B) B and D only

Answer

(A) A, B and D only

Answer

(C) B, D and E only

Answer

(D) A and C only

List I	List II
A.Angular momentum	I. $[ML^2T^{-2}]$
B.Torque	II. $[ML^{-2}T^{-2}]$
C.Stress	III. $[ML^2T^{-1}]$
D.Pressure gradient	IV. $[ML^{-1}T^{-2}]$

List I	List II
A.Microwaves	I.Physiotherapy
B.UV rays	II.Treatment of cancer
C.Infra-red light	III.Lasik eye surgery
D.X-ray	IV.Aircraft navigation

List I	List II
A.Physisorption	I.Single Layer Adsorption
B.Chemisorption	II.20–40 kJ mol $^{-1}$
C. $N_2(g)+3H_2(g)\xrightarrow{Fe(s)}2NH_3(g)$	III.Chromatography
D.Analytical Application of Adsorption	IV.Heterogeneous catalysis

JEE Main 31 January 2023 Shift 2 Question Paper with Answers

Physics — JEE Main 31 January 2023 Shift 2

Chemistry — JEE Main 31 January 2023 Shift 2

Mathematics — JEE Main 31 January 2023 Shift 2

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