JEE Main 30 January 2023 Shift 1 Question Paper

Question 1

A straight line cuts off the intercepts $OA=a$ and $OB=b$ on the positive directions of x-axis and y-axis respectively. If the perpendicular from origin O to this line makes an angle of $\dfrac{\pi}{6}$ with positive direction of y-axis and the area of $	riangle OAB$ is $\dfrac{98}{3}\sqrt3$, then $a^2-b^2$ is equal to:

Accepted Answer

(A) $\dfrac{392}{3}$

Answer

(B) $\dfrac{196}{3}$

Answer

(C) $98$

Answer

(D) $196$

Question 2

The minimum number of elements that must be added to the relation $R=\{(a,b),(b,c)\}$ on the set $\{a,b,c\}$ so that it becomes symmetric and transitive is:

Accepted Answer

(D) $7$

Answer

(A) $3$

Answer

(B) $4$

Answer

(C) $5$

Question 3

If an unbiased die, marked with $-2,-1,0,1,2,3$ on its faces, is thrown five times, then the probability that the product of the outcomes is positive, is:

Accepted Answer

(D) $\dfrac{521}{2592}$

Answer

(A) $\dfrac{881}{2592}$

Answer

(B) $\dfrac{27}{288}$

Answer

(C) $\dfrac{440}{2592}$

Question 4

If $\vec a,\vec b,\vec c$ are three non-zero vectors and $\hat n$ is a unit vector perpendicular to $\vec c$ such that $\vec a=\alpha\vec b-\hat n$, $(\alpha
eq0)$ and $\vec b\cdot\vec c=12$, then $|\vec c	imes(\vec a	imes\vec b)|$ is equal to:

Accepted Answer

(D) $12$

Answer

(A) $9$

Answer

(B) $15$

Answer

(C) $6$

Question 5

Among the statements: (S1) $((p\vee q)\Rightarrow r)\Leftrightarrow(p\Rightarrow r)$ and (S2) $((p\vee q)\Rightarrow r)\Leftrightarrow((p\Rightarrow r)\vee(q\Rightarrow r))$

Accepted Answer

(C) neither (S1) nor (S2) is a tautology

Answer

(A) only (S2) is a tautology

Answer

(B) only (S1) is a tautology

Answer

(D) both (S1) and (S2) are tautologies

Question 6

If $P(h,k)$ be a point on the parabola $x=4y^2$, which is nearest to the point $Q(0,33)$, then the distance of $P$ from the directrix of the parabola $y^2=4(x+y)$ is equal to:

Accepted Answer

(B) $6$

Answer

(A) $2$

Answer

(C) $8$

Answer

(D) $4$

Question 7

Let $y=x+2$, $4y=3x+6$ and $3y=4x+1$ be three tangent lines to the circle $(x-h)^2+(y-k)^2=r^2$. Then $h+k$ is equal to:

Accepted Answer

(D) $5$

Answer

(A) $5(1+\sqrt2)$

Answer

(B) $5\sqrt2$

Answer

(C) $6$

Question 8

The number of points on the curve $y=54x^5-135x^4-70x^3+180x^2+210x$ at which the normal lines are parallel to $x+90y+2=0$ is:

Accepted Answer

(A) $4$

Answer

(B) $2$

Answer

(C) $0$

Answer

(D) $3$

Question 9

If $a_n=\dfrac{-2}{4n^2-16n+15}$, then $a_1+a_2+\cdots+a_{25}$ is equal to:

Accepted Answer

(C) $\dfrac{50}{141}$

Answer

(A) $\dfrac{52}{147}$

Answer

(B) $\dfrac{49}{138}$

Answer

(D) $\dfrac{51}{144}$

Question 10

If $	an15°+\dfrac{1}{	an75°}+\dfrac{1}{	an105°}+	an195°=2a$, then the value of $\left(a+\dfrac1aight)$ is:

Accepted Answer

(D) $4$

Answer

(A) $2$

Answer

(B) $4-2\sqrt3$

Answer

(C) $5-\dfrac32\sqrt3$

Question 11

If the solution of the equation $\log_{\cos x}\cot x+4\log_{\sin x}	an x=1$, $x\in\left(0,\dfrac{\pi}{2}ight)$, is $\sin^{-1}\left(\dfrac{\alpha+\sqrt\beta}{2}ight)$, where $\alpha$ and $\beta$ are integers, then $\alpha+\beta$ is equal to:

Accepted Answer

(C) $4$

Answer

(A) $5$

Answer

(B) $6$

Answer

(D) $3$

Question 12

Let the system of linear equations $x+y+kz=2$, $2x+3y-z=1$, $3x+4y+2z=k$ have infinitely many solutions. Then the system $(k+1)x+(2k-1)y=7$, $(2k+1)x+(k+5)y=10$ has:

Accepted Answer

(C) unique solution satisfying $x+y=1$

Answer

(A) infinitely many solutions

Answer

(B) unique solution satisfying $x-y=1$

Answer

(D) no solution

Question 13

The line $l_1$ passes through the point $(2,6,2)$ and is perpendicular to the plane $2x+y-2z=10$. Then the shortest distance between the line $l_1$ and the line $\dfrac{x+1}{2}=\dfrac{y+4}{-3}=\dfrac{z}{2}$ is:

Accepted Answer

(D) $9$

Answer

(A) $\dfrac{11}{3}$

Answer

(B) $\dfrac{19}{3}$

Answer

(C) $7$

Question 14

Let $A=\begin{pmatrix}m&n\p&q\end{pmatrix}$, $d=|A|
eq0$ and $|A-d(\mathrm{Adj}\,A)|=0$. Then

Accepted Answer

(D) $(1+d)^2=(m+q)^2$

Answer

(A) $1+d^2=m^2+q^2$

Answer

(B) $1+d^2=(m+q)^2$

Answer

(C) $(1+d)^2=m^2+q^2$

Question 15

If $[t]$ denotes the greatest integer $\leq t$, then the value of $\dfrac{3(e-1)}{e}\int_1^2 x^2 e^{[x^3]+[x^4]}\,dx$ is:

Accepted Answer

(C) $e^8-e$

Answer

(A) $e^8-1$

Answer

(B) $e^7-1$

Answer

(D) $e^9-e$

Question 16

Let a unit vector $\overrightarrow{OP}$ make angles $\alpha,\beta,\gamma$ with the positive directions of the co-ordinate axes OX, OY, OZ respectively, where $\beta\in\left(0,\dfrac{\pi}{2}\right)$. If $\overrightarrow{OP}$ is perpendicular to the plane through points $(1,2,3),(2,3,4)$ and $(1,5,7)$, then which one of the following is true?

Accepted Answer

(C) $\alpha\in\left(\dfrac{\pi}{2},\pi\right)$ and $\gamma\in\left(\dfrac{\pi}{2},\pi\right)$

Answer

(A) $\alpha\in\left(0,\dfrac{\pi}{2}\right)$ and $\gamma\in\left(0,\dfrac{\pi}{2}\right)$

Answer

(B) $\alpha\in\left(0,\dfrac{\pi}{2}\right)$ and $\gamma\in\left(\dfrac{\pi}{2},\pi\right)$

Answer

(D) $\alpha\in\left(\dfrac{\pi}{2},\pi\right)$ and $\gamma\in\left(0,\dfrac{\pi}{2}\right)$

Question 17

The coefficient of $x^{301}$ in $(1+x)^{500}+x(1+x)^{499}+x^2(1+x)^{498}+\cdots+x^{500}$ is:

Accepted Answer

(B) $^{501}C_{200}$

Answer

(A) $^{500}C_{300}$

Answer

(C) $^{501}C_{302}$

Answer

(D) $^{500}C_{301}$

Question 18

Let the solution curve $y=y(x)$ of the differential equation $\dfrac{dy}{dx}-\dfrac{3x^5	an^{-1}(x^3)}{(1+x^6)^{3/2}}y=2x\exp\left\{\dfrac{x^3-	an^{-1}x^3}{\sqrt{1+x^6}}ight\}$ pass through the origin. Then $y(1)$ is equal to:

Accepted Answer

(D) $\exp\left(\dfrac{4-\pi}{4\sqrt2}\right)$

Answer

(A) $\exp\left(\dfrac{4+\pi}{4\sqrt2}\right)$

Answer

(B) $\exp\left(\dfrac{1-\pi}{4\sqrt2}\right)$

Answer

(C) $\exp\left(\dfrac{\pi-4}{4\sqrt2}\right)$

Question 19

If the coefficient of $x^{15}$ in the expansion of $\left(ax^3+\dfrac{1}{bx^{1/3}}\right)^{15}$ is equal to the coefficient of $x^{-15}$ in the expansion of $\left(ax^{1/3}-\dfrac{1}{bx^3}\right)^{15}$, where $a$ and $b$ are positive real numbers, then for each such ordered pair $(a,b)$:

Accepted Answer

(B) $ab=1$

Answer

(A) $a=3$

Answer

(C) $a=b$

Answer

(D) $a=3b$

Question 20

Suppose $f:\mathbb{R}	o(0,\infty)$ be a differentiable function such that $5f(x+y)=f(x)\cdot f(y)$, $\forall x,y\in\mathbb{R}$. If $f(3)=320$, then $\sum_{n=0}^{5}f(n)$ is equal to:

Accepted Answer

(C) $6825$

Answer

(A) $6875$

Answer

(B) $6525$

Answer

(D) $6575$

Question 21

Let $z=1+i$ and $z_1=\dfrac{1+i\bar z}{\bar z(1-z)+\dfrac1z}$. Then $\dfrac{12}{\pi}\arg(z_1)$ is equal to

Accepted Answer

9

Question 22

If $\lambda_1<\lambda_2$ are two values of $\lambda$ such that the angle between the planes $P_1:\vec r\cdot(3\hat i-5\hat j+\hat k)=7$ and $P_2:\vec r\cdot(\lambda\hat i+\hat j-3\hat k)=9$ is $\sin^{-1}\left(\dfrac{2\sqrt6}{5}\right)$, then the square of the length of perpendicular from the point $(38\lambda_1,10\lambda_2,2)$ to the plane $P_1$ is

Accepted Answer

315

Question 23

Let $\alpha$ be the area of the larger region bounded by the curve $y^2=8x$ and the lines $y=x$ and $x=2$, which lies in the first quadrant. Then the value of $3\alpha$ is equal to

Accepted Answer

22

Question 24

Let $\sum_{n=0}^{\infty}\dfrac{n^3((2n)!)+(2n-1)(n!)}{(n!)((2n)!)}=ae+\dfrac{b}{e}+c$, where $a,b,c\in\mathbb{Z}$ and $e=\sum_{n=0}^{\infty}\dfrac{1}{n!}$. Then $a^2-b+c$ is equal to

Accepted Answer

26

Question 25

If the equation of the plane passing through the point $(1,1,2)$ and perpendicular to the line $x-3y+2z-1=0=4x-y+z$ is $Ax+By+Cz=1$, then $140(C-B+A)$ is equal to

Accepted Answer

15

Question 26

Number of 4-digit numbers (the repetition of digits is allowed) which are made using the digits $1,2,3$ and $5$, and are divisible by $15$, is equal to

Accepted Answer

21

Question 27

Let $f^1(x)=\dfrac{3x+2}{2x+3}$, $x\in\mathbb{R}-\left\{\dfrac{-3}{2}ight\}$. For $n\geq2$, define $f^n(x)=f^1	ext{ of }f^{n-1}(x)$. If $f^5(x)=\dfrac{ax+b}{bx+a}$, $\gcd(a,b)=1$, then $a+b$ is equal to

Accepted Answer

3125

Question 28

The mean and variance of $7$ observations are $8$ and $16$ respectively. If one observation $14$ is omitted and $a$ and $b$ are respectively mean and variance of remaining $6$ observation, then $a+3b-5$ is equal to

Accepted Answer

37

Question 29

Let $S=\{1,2,3,4,5,6\}$. Then the number of one-one functions $f:S	o P(S)$, where $P(S)$ denote the power set of S, such that $f(n)\subset f(m)$ where $n<m$ is

Accepted Answer

3240

Question 30

$\lim_{x	o0}\dfrac{48}{x^4}\int_0^x\dfrac{t^3}{t^4+1}\,dt$ is equal to

Accepted Answer

12

Question 31

The magnetic moments associated with two closely wound circular coils A and B of radius $r_A=10$ cm and $r_B=20$ cm respectively are equal if: (Where $N_A,I_A$ and $N_B,I_B$ are number of turn and current of A and B respectively)

Accepted Answer

(C) $N_A I_A=4N_B I_B$

Answer

(A) $4N_A I_A=N_B I_B$

Answer

(B) $N_A=2N_B$

Answer

(D) $2N_A I_A=N_B I_B$

Question 32

The figure represents the momentum time (p-t) curve for a particle moving along an axis under the influence of the force. Identify the regions on the graph where the magnitude of the force is maximum and minimum respectively? If $(t_3-t_2)<t_1$

Accepted Answer

(A) c and b

Answer

(B) b and c

Answer

(C) $a$ and $b$

Answer

(D) c and a

Question 33

Two isolated metallic solid spheres of radii $R$ and $2R$ are charged such that both have same charge density $\sigma$. The spheres are then connected by a thin conducting wire. If the new charge density of the bigger sphere is $\sigma'$, the ratio $\dfrac{\sigma'}{\sigma}$ is:

Accepted Answer

(C) $\dfrac56$

Answer

(A) $\dfrac43$

Answer

(B) $\dfrac53$

Answer

(D) $\dfrac94$

Question 34

A person has been using spectacles of power $-1.0$ dioptre for distant vision and a separate reading glass of power $2.0$ dioptres. What is the least distance of distinct vision for this person:

Accepted Answer

(D) $50$ cm

Answer

(A) $40$ cm

Answer

(B) $30$ cm

Answer

(C) $10$ cm

Question 35

A small object at rest, absorbs a light pulse of power $20$ mW and duration $300$ ns. Assuming speed of light as $3	imes10^8$ m/s, the momentum of the object becomes equal to:

Accepted Answer

(B) $2	imes10^{-17}$ kg m/s

Answer

(A) $3	imes10^{-17}$ kg m/s

Answer

(C) $1	imes10^{-17}$ kg m/s

Answer

(D) $0.5	imes10^{-17}$ kg m/s

Question 36

Match Column-I (x-t graphs) with Column-II (v-t graphs). Choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 37

The pressure (P) and temperature (T) relationship of an ideal gas obeys the equation $PT^2=$ constant. The volume expansion coefficient of the gas will be:

Accepted Answer

(D) $\dfrac{3}{T}$

Answer

(A) $\dfrac{3}{T^2}$

Answer

(B) $\dfrac{3}{T^3}$

Answer

(C) $3T^2$

Question 38

Heat is given to an ideal gas in an isothermal process. A. Internal energy of the gas will decrease. B. Internal energy of the gas will increase. C. Internal energy of the gas will not change. D. The gas will do positive work. E. The gas will do negative work. Choose the correct answer from the options given below:

Accepted Answer

(A) C and D only

Answer

(B) C and E only

Answer

(C) A and E only

Answer

(D) B and D only

Question 39

If the gravitational field in the space is given as $\left(-\dfrac{K}{r^2}\right)$. Taking the reference point to be at $r=2$ cm with gravitational potential $V=10$ J/kg. Find the gravitational potential at $r=3$ cm in SI unit (Given that $K=6$ J cm/kg):

Accepted Answer

(C) $11$

Answer

(A) $9$

Answer

(B) $10$

Answer

(D) $12$

Question 40

In a series LR circuit with $X_L=R$, power factor is $P_1$. If a capacitor of capacitance C with $X_C=X_L$ is added to the circuit the power factor becomes $P_2$. The ratio of $P_1$ to $P_2$ will be:

Accepted Answer

(C) $1:\sqrt2$

Answer

(A) $1:3$

Answer

(B) $1:2$

Answer

(D) $1:1$

Question 41

As per the given figure, a small ball P slides down the quadrant of a circle and hits the other ball Q of equal mass which is initially at rest. Neglecting the effect of friction and assume the collision to be elastic, the velocity of ball Q after collision will be: $(g=10\,m/s^2)$

Accepted Answer

(C) $2$ m/s

Answer

(A) $0$

Answer

(B) $4$ m/s

Answer

(D) $0.25$ m/s

Question 42

A ball of mass $200$ g rests on a vertical post of height $20$ m. A bullet of mass $10$ g, travelling in horizontal direction, hits the centre of the ball. After collision both travels independently. The ball hits the ground at a distance $30$ m and the bullet at a distance of $120$ m from the foot of the post. The value of initial velocity of the bullet will be (if $g=10\,m/s^2$):

Accepted Answer

(A) $360$ m/s

Answer

(B) $400$ m/s

Answer

(C) $60$ m/s

Answer

(D) $120$ m/s

Question 43

The output waveform of the given logical circuit for the following inputs A and B as shown below, is

Accepted Answer

(C) (3)

Answer

(A) (1)

Answer

(B) (2)

Answer

(D) (4)

Question 44

The charge flowing in a conductor changes with time as $Q(t)=\alpha t-\beta t^2+\gamma t^3$, where $\alpha,\beta$ and $\gamma$ are constants. Minimum value of current is:

Accepted Answer

(C) $\alpha-\dfrac{\beta^2}{3\gamma}$

Answer

(A) $\alpha-\dfrac{3\beta^2}{\gamma}$

Answer

(B) $\alpha-\dfrac{\gamma^2}{3\beta}$

Answer

(D) $\beta-\dfrac{\alpha^2}{3\gamma}$

Question 45

Choose the correct relationship between Poisson ratio $(\sigma)$, bulk modulus (K) and modulus of rigidity $(\eta)$ of a given solid object:

Accepted Answer

(B) $\sigma=\dfrac{3K-2\eta}{6K+2\eta}$

Answer

(A) $\sigma=\dfrac{3K+2\eta}{6K+2\eta}$

Answer

(C) $\sigma=\dfrac{6K+2\eta}{3K-2\eta}$

Answer

(D) $\sigma=\dfrac{6K-2\eta}{3K-2\eta}$

Question 46

Speed of an electron in Bohr's $7^{th}$ orbit for Hydrogen atom is $3.6	imes10^6$ m/s. The corresponding speed of the electron in $3^{rd}$ orbit, in m/s is:

Accepted Answer

(D) $8.4	imes10^6$

Answer

(A) $1.8	imes10^6$

Answer

(B) $3.6	imes10^6$

Answer

(C) $7.5	imes10^6$

Question 47

A massless square loop, of wire of resistance $10\,\Omega$, supporting a mass of $1$ g, hangs vertically with one of its sides in a uniform magnetic field of $10^3$ G, directed outwards in the shaded region. A dc voltage V is applied to the loop. For what value of V, the magnetic force will exactly balance the weight of the supporting mass of $1$ g? (If sides of the loop $=10$ cm, $g=10\,ms^{-2}$)

Accepted Answer

(C) $10$ V

Answer

(A) $\dfrac{1}{10}$ V

Answer

(B) $100$ V

Answer

(D) $1$ V

Question 48

Electric field in a certain region is given by $\vec E=\left(\dfrac{A}{x^2}\hat i+\dfrac{B}{y^3}\hat j\right)$. The SI unit of A and B are:

Accepted Answer

(B) $Nm^2C^{-1};\ Nm^3C^{-1}$

Answer

(A) $Nm^3C^{-1};\ Nm^2C^{-1}$

Answer

(C) $Nm^3C;\ Nm^2C$

Answer

(D) $Nm^2C;\ Nm^3C$

Question 49

The height of liquid column raised in a capillary tube of certain radius when dipped in liquid A vertically is $5$ cm. If the tube is dipped in a similar manner in another liquid B of surface tension and density double the values of liquid A, the height of liquid column raised in liquid B would be _________ m

Accepted Answer

(A) $0.05$

Answer

(B) $0.10$

Answer

(C) $0.20$

Answer

(D) $0.5$

Question 50

A sinusoidal carrier voltage is amplitude modulated. The resultant amplitude modulated wave has maximum and minimum amplitude of $120$ V and $80$ V respectively. The amplitude of each sideband is:

Accepted Answer

(C) $10$ V

Answer

(A) $20$ V

Answer

(B) $15$ V

Answer

(D) $5$ V

Question 51

The general displacement of a simple harmonic oscillator is $x=A\sin\omega t$. Let T be its time period. The slope of its potential energy (U) - time (t) curve will be maximum when $t=\dfrac{T}{\beta}$. The value of $\beta$ is

Accepted Answer

8

Question 52

A thin uniform rod of length $2$ m, cross sectional area '$A$' and density '$d$' is rotated about an axis passing through the centre and perpendicular to its length with angular velocity $\omega$. If value of $\omega$ in terms of its rotational kinetic energy $E$ is $\sqrt{\dfrac{\alpha E}{Ad}}$ then value of $\alpha$ is

Accepted Answer

3

Question 53

A horse rider covers half the distance with $5$ m/s speed. The remaining part of the distance was travelled with speed $10$ m/s for half the time and with speed $15$ m/s for other half of the time. The mean speed of the rider averaged over the whole time of motion is $\dfrac{x}{7}$ m/s. The value of $x$ is

Accepted Answer

50

Question 54

As per the given figure, if $\dfrac{dI}{dt}=-1$ A/s then the value of $V_{AB}$ at this instant will be _________ V.

Accepted Answer

30

Question 55

A point source of light is placed at the centre of curvature of a hemispherical surface. The source emits a power of $24$ W. The radius of curvature of hemisphere is $10$ cm and the inner surface is completely reflecting. The force on the hemisphere due to the light falling on it is _________ $	imes10^{-8}$ N

Accepted Answer

4

Question 56

In the following circuit, the magnitude of current $I_1$ is _________ A.

Accepted Answer

1.5

Question 57

In a screw gauge, there are $100$ divisions on the circular scale and the main scale moves by $0.5$ mm on a complete rotation of the circular scale. The zero of circular scale lies $6$ divisions below the line of graduation when two studs are brought in contact with each other. When a wire is placed between the studs, $4$ linear scale divisions are clearly visible while $46^{th}$ division the circular scale coincide with the reference line. The diameter of the wire is _________ $	imes10^{-2}$ mm

Accepted Answer

220

Question 58

In Young's double slit experiment, two slits $S_1$ and $S_2$ are '$d$' distance apart and the separation from slits to screen is D (as shown in figure). Now if two transparent slabs of equal thickness $0.1$ mm but refractive index $1.51$ and $1.55$ are introduced in the path of beam ($\lambda=4000$ Å) from $S_1$ and $S_2$ respectively. The central bright fringe spot will shift by _________ number of fringes.

Accepted Answer

10

Question 59

A capacitor of capacitance $900\,\mu F$ is charged by a $100$ V battery. The capacitor is disconnected from the battery and connected to another uncharged identical capacitor such that one plate of uncharged capacitor connected to positive plate and another plate of uncharged capacitor connected to negative plate of the charged capacitor. The loss of energy in this process is measured as $x	imes10^{-2}$ J. The value of $x$ is

Accepted Answer

225

Question 60

In an experiment for estimating the value of focal length of converging mirror, image of an object placed at $40$ cm from the pole of the mirror is formed at distance $120$ cm from the pole of the mirror. These distances are measured with a modified scale in which there are $20$ small divisions in $1$ cm. The value of error in measurement of focal length of the mirror is $\dfrac{1}{K}$ cm. The value of K is

Accepted Answer

32

Question 61

Lithium aluminium hydride can be prepared from the reaction of

Accepted Answer

(B) LiH and Al$_2$Cl$_6$

Answer

(A) LiH and Al(OH)$_3$

Answer

(C) LiCl and Al$_2$H$_6$

Answer

(D) LiCl, Al and H$_2$

Question 62

Amongst the following compounds, which one is an antacid?

Accepted Answer

(D) Ranitidine

Answer

(A) Terfenadine

Answer

(B) Meprobamate

Answer

(C) Brompheniramine

Question 63

Given below are two statements: one is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): In expensive scientific instruments, silica gel is kept in watch-glasses or in semipermeable membrane bags.
Reason (R): Silica gel adsorbs moisture from air via adsorption, thus protects the instrument from water corrosion (rusting) and/or prevents malfunctioning.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

(C) 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

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

Answer

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

Question 64

Match List I (atomic number) with List II (block of periodic table). Choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Column-I (x-t graphs)	Column-II (v-t graphs)
A.see figure	I.see figure
B.see figure	II.see figure
C.see figure	III.see figure
D.see figure	IV.see figure

List I (Atomic number)	List II (Block of periodic table)
A.37	I.p-block
B.78	II.d-block
C.52	III.f-block
D.65	IV.s-block

List I (molecules/ions)	List II (No. of lone pairs of e⁻ on central atom)
A.IF $_7$	I.Three
B.ICl $_4^-$	II.One
C.XeF $_6$	III.Two
D.XeF $_2$	IV.Zero

List I (Reactions)	List II (Name of reaction)
A.see figure	I.Fittig reaction
B.see figure	II.Wurtz Fittig reaction
C.see figure	III.Finkelstein reaction
D.see figure	IV.Sandmeyer reaction

JEE Main 30 January 2023 Shift 1 Question Paper with Answers

Physics — JEE Main 30 January 2023 Shift 1

Chemistry — JEE Main 30 January 2023 Shift 1

Mathematics — JEE Main 30 January 2023 Shift 1

Chapters tested in this paper

Attempt this paper under exam timing.