JEE Main 6 April 2023 Shift 1 Question Paper

Question 1

Let $5f(x)+4f\left(\dfrac{1}{x}\right)=\dfrac{1}{x}+3,\,x>0$. Then $18\displaystyle\int_{1}^{2}f(x)\,dx$ is equal to:

Accepted Answer

(A) $10\log_e 2-6$

Answer

(B) $10\log_e 2+6$

Answer

(C) $6\log_e 2+3$

Answer

(D) $6\log_e 2-3$

Question 2

A pair of dice are thrown $5$ times. For each throw, a total of $5$ is considered a success. If the probability of at least $4$ successes is $\dfrac{k}{3^{11}}$, then $k$ is equal to:

Accepted Answer

(B) $123$

Answer

(A) $82$

Answer

(C) $164$

Answer

(D) $75$

Question 3

If $^{2n}C_3:^nC_3=10:1$, then the ratio $(n^2+3n):(n^2-3n+4)$ is:

Accepted Answer

(D) $2:1$

Answer

(A) $35:16$

Answer

(B) $65:37$

Answer

(C) $27:11$

Question 4

If the ratio of the fifth term from the beginning to the fifth term from the end in the expansion of $\left(\sqrt[4]{2}+\dfrac{1}{\sqrt[4]{3}}\right)^{n}$ is $\sqrt6:1$, then the third term from the beginning is:

Accepted Answer

(B) $60\sqrt3$

Answer

(A) $60\sqrt2$

Answer

(C) $30\sqrt2$

Answer

(D) $30\sqrt3$

Question 5

Let $\vec a=2\hat i+3\hat j+4\hat k,\,\vec b=2\hat i-2\hat j-2\hat k$ and $\vec c=-\hat i+4\hat j+3\hat k$. If $\vec d$ is a vector perpendicular to both $\vec b$ and $\vec c$ and $\vec a\cdot\vec d=18$, then $|\vec a	imes\vec d|^2$ is equal to:

Accepted Answer

(D) $720$

Answer

(A) $640$

Answer

(B) $760$

Answer

(C) $680$

Question 6

The straight lines $l_1$ and $l_2$ pass through the origin and trisect the line segment of the line $L:9x+5y=45$ between the axes. If $m_1$ and $m_2$ are the slopes of the lines $l_1$ and $l_2$, then the point of intersection of the line $y=(m_1+m_2)x$ with $L$ lies on:

Accepted Answer

(D) $2y-x=5$

Answer

(A) $y-x=5$

Answer

(B) $y-2x=5$

Answer

(C) $6x+y=10$

Question 7

From the top $A$ of a vertical wall $AB$ of height $30\,m$, the angles of depression of the top $P$ and bottom $Q$ of a vertical tower $CP$ of height $h$ are $15^\circ$ and $60^\circ$ respectively. $B$ and $Q$ are on the same horizontal level. If $C$ is a point on $AB$ such that $CB=PQ$, then the area (in $m^2$) of the quadrilateral $BCPQ$ is equal to:

Accepted Answer

(A) $600(\sqrt3-1)$

Answer

(B) $300(\sqrt3+1)$

Answer

(C) $200(3-\sqrt3)$

Answer

(D) $300(\sqrt3-1)$

Question 8

The sum of the first $20$ terms of the series $5+11+19+29+41+\dots$ is:

Accepted Answer

(D) 3520

Answer

(A) 3450

Answer

(B) 3250

Answer

(C) 3420

Question 9

The mean and variance of a set of $15$ numbers are $12$ and $14$ respectively. The mean and variance of another set of $15$ numbers are $14$ and $\sigma^2$ respectively. If the variance of all the $30$ numbers in the two sets is $13$, then $\sigma^2$ is equal to:

Accepted Answer

(D) $10$

Answer

(A) $9$

Answer

(B) $12$

Answer

(C) $11$

Question 10

Let $A=\begin{bmatrix} p & q \ r & s \end{bmatrix}$ be such that $A^{2}=bI$, where $b\in\mathbb{R}\setminus\{0\},\,I$ is the identity matrix and all entries $a_{ij}$ of $A$ are non-zero. If $|A|=a,\,a
e 0$ then $3a^{2}+4b^{2}$ equals:

Accepted Answer

(D) $4$

Answer

(A) $7$

Answer

(B) $5$

Answer

(C) $8$

Question 11

Let $I(x)=\displaystyle\int\dfrac{x\,\sec^{2}x+	an x}{(x	an x+1)^{2}}dx$. If $I(0)=0$, then $I\left(\dfrac{\pi}{4}ight)$ is equal to:

Accepted Answer

(C) $\log_e\dfrac{(\pi+4)^{2}}{32}-\dfrac{\pi^{2}}{4(\pi+4)}$

Answer

(A) $\log_e\dfrac{(\pi+4)^{2}}{16}-\dfrac{\pi^{2}}{4(\pi+4)}$

Answer

(B) $\log_e\dfrac{(\pi+4)^{2}}{16}+\dfrac{\pi^{2}}{4(\pi+4)}$

Answer

(D) $\log_e\dfrac{(\pi+4)^{2}}{32}+\dfrac{\pi^{2}}{4(\pi+4)}$

Question 12

If the equation of the plane passing through the line of intersection of the planes $2x-y+z=3$ and $4x-3y+5z+9=0$ and parallel to the line $\dfrac{x+1}{-2}=\dfrac{y+3}{4}=\dfrac{z-2}{5}$ is $ax+by+cz+6=0$, then $a+b+c$ is equal to:

Accepted Answer

(A) 14

Answer

(B) 12

Answer

(C) 13

Answer

(D) 15

Question 13

The statement $(P\Rightarrow Q)\wedge(R\Rightarrow Q)$ is logically equivalent to:

Accepted Answer

(A) $(P\vee R)\Rightarrow Q$

Answer

(B) $(P\Rightarrow R)\wedge(Q\Rightarrow R)$

Answer

(C) $(P\Rightarrow R)\vee(Q\Rightarrow R)$

Answer

(D) $(P\wedge R)\Rightarrow Q$

Question 14

The sum of all the roots of the equation $|x^{2}-8x+15|-2x+7=0$ is:

Accepted Answer

(A) $9+\sqrt3$

Answer

(B) $11+\sqrt3$

Answer

(C) $9-\sqrt3$

Answer

(D) $11-\sqrt3$

Question 15

Let $a_1,a_2,\dots,a_n$ be $n$ positive consecutive terms of an arithmetic progression. If $d>0$ is its common difference, then $\displaystyle\lim_{n	o\infty}\sqrt{\dfrac{d}{n}}\left(\dfrac{1}{\sqrt{a_1}+\sqrt{a_2}}+\dfrac{1}{\sqrt{a_2}+\sqrt{a_3}}+\dots+\dfrac{1}{\sqrt{a_{n-1}}+\sqrt{a_n}}ight)$ is:

Accepted Answer

(A) $\sqrt d$

Answer

(B) $0$

Answer

(C) $\dfrac{1}{\sqrt d}$

Answer

(D) $\infty$

Question 16

If the system of equations $x+y+az=b,\,2x+5y+2z=6,\,x+2y+3z=3$ has infinitely many solutions, then $2a+3b$ is equal to:

Accepted Answer

(A) 23

Answer

(B) 28

Answer

(C) 25

Answer

(D) 20

Question 17

If $2^{xy}+3^{yx}=20$, then $\dfrac{dy}{dx}$ at $(2,2)$ is equal to:

Accepted Answer

(B) $-\left(\dfrac{2+\log_e 8}{3+\log_e 4}\right)$

Answer

(A) $-\left(\dfrac{3+\log_e 8}{2+\log_e 4}\right)$

Answer

(C) $-\left(\dfrac{3+\log_e 16}{4+\log_e 8}\right)$

Answer

(D) $-\left(\dfrac{3+\log_e 4}{2+\log_e 8}\right)$

Question 18

One vertex of a rectangular parallelopiped is at the origin $O$ and the lengths of its edges along $x,\,y$ and $z$ axes are $3,\,4$ and $5$ units respectively. Let $P$ be the vertex $(3,4,5)$. Then the shortest distance between the diagonal $OP$ and an edge parallel to the $z$ axis, not passing through $O$ or $P$, is:

Accepted Answer

(D) $\dfrac{12}{5}$

Answer

(A) $\dfrac{12}{\sqrt5}$

Answer

(B) $\dfrac{12}{5\sqrt5}$

Answer

(C) $12\sqrt5$

Question 19

Let the position vectors of the points $A,\,B,\,C$ and $D$ be $5\hat i+5\hat j+2\lambda\hat k,\,\hat i+2\hat j+3\hat k,\,-2\hat i+\lambda\hat j+4\hat k$ and $-\hat i+5\hat j+6\hat k$. Let the set $S=\{\lambda\in\mathbb{R}: A,B,C	ext{ and }D	ext{ are coplanar}\}$. Then $\displaystyle\sum_{\lambda\in S}(\lambda+2)^{2}$ is equal to:

Accepted Answer

(A) $41$

Answer

(B) $25$

Answer

(C) $13$

Answer

(D) $\dfrac{37}{2}$

Question 20

Let $A=\{x\in\mathbb{R}:[x+3]+[x+4]\le 3\}$, $B=\left\{x\in\mathbb{R}:3^{x}\left(\displaystyle\sum_{r=1}^{\infty}\dfrac{3}{10^{r}}\right)^{x}<3^{-x}\right\}$, where $[t]$ denotes greatest integer function. Then:

Accepted Answer

(B) $A=B$

Answer

(A) $A=\varnothing,\,B
e\varnothing$

Answer

(C) $B\subset A,\,A
e B$

Answer

(D) $A\subset B,\,A
e B$

Question 21

Let $a\in\mathbb{Z}$ and $[t]$ be the greatest integer $\le t$. Then the number of points, where the function $f(x)=[a+13\sin x],\,x\in(0,\pi)$ is not differentiable, is _____.

Accepted Answer

25

Question 22

A circle passing through the point $P(\alpha,\beta)$ in the first quadrant touches the two coordinate axes at the points $A$ and $B$. The point $P$ is above the line $AB$. The point $Q$ on the line segment $AB$ is the foot of perpendicular from $P$ on $AB$. If $PQ$ is equal to $11$ units, then the value of $\alpha\beta$ is _____.

Accepted Answer

121

Question 23

The number of ways of giving $20$ distinct oranges to $3$ children such that each child gets at least one orange is _____.

Accepted Answer

171

Question 24

If the area of the region $S=\{(x,y):2y-y^{2}\le x^{2}\le 2y,\,x\ge y\}$ is equal to $\dfrac{n+2}{n+1}-\dfrac{\pi}{n-1}$, then the natural number $n$ is equal to _____.

Accepted Answer

5

Question 25

Let the point $(p,p+1)$ lie inside the region $E=\{(x,y):3-x\le y\le\sqrt{9-x^{2}},\,0\le x\le 3\}$. If the set of all values of $p$ is the interval $(a,b)$, then $b^{2}+b-a^{2}$ is equal to _____.

Accepted Answer

3

Question 26

Let $y=y(x)$ be a solution of the differential equation $(x\cos x)dy+(xy\sin x+y\cos x-1)dx=0,\,0<x<\dfrac{\pi}{2}$. If $y\left(\dfrac{\pi}{3}\right)=\dfrac{\sqrt3}{\pi}$, then $\left|\dfrac{\pi}{6}\,y\left(\dfrac{\pi}{6}\right)+2y\left(\dfrac{\pi}{6}\right)\right|$ is equal to _____.

Accepted Answer

2

Question 27

The coefficient of $x^{18}$ in the expansion of $\left(x^{4}-\dfrac{1}{x^{3}}\right)^{15}$ is _____.

Accepted Answer

5005

Question 28

Let $A=\{1,2,3,4,\dots,10\}$ and $B=\{0,1,2,3,4,5\}$. The number of elements in the relation $R=\{(a,b)\in A	imes A:2(a-b)^{2}+3(a-b)\in B\}$ is _____.

Accepted Answer

18

Question 29

Let $Q$ be the foot of perpendicular from the point $P(0,2,3)$ on the plane $2x-y+z=9$. If the coordinates of the point $R$ are $(6,10,7)$, then the square of the area of the triangle $PQR$ is _____.

Accepted Answer

594

Question 30

Let the tangent to the curve $x^{2}+2x-4y+9=0$ at the point $P(1,3)$ on it meet the $y$-axis at $A$. Let the line passing through $P$ and parallel to the line $x-3y=6$ meet the parabola $y^{2}=4x$ at $B$. If $B$ lies on the line $2x-3y=8$, then $(AB)^{2}$ is equal to _____.

Accepted Answer

292

Question 31

For the plane electromagnetic wave given by $E=E_0\sin(\omega t-kx)$ and $B=B_0\sin(\omega t-kx)$, the ratio of average electric energy density to average magnetic energy density is:

Accepted Answer

(A) $1$

Answer

(B) $\dfrac12$

Answer

(C) $2$

Answer

(D) $4$

Question 32

Name the logic gate equivalent to the diagram attached:

Accepted Answer

(B) NOR

Answer

(A) OR

Answer

(C) NAND

Answer

(D) AND

Question 33

A small ball of mass $M$ and density $\rho$ is dropped in a viscous liquid of density $\rho_0$. After sometime, the ball falls with a constant velocity. What is the viscous force on the ball?

Accepted Answer

(A) $F=Mg\left(1-\dfrac{\rho_0}{\rho}\right)$

Answer

(B) $F=Mg\left(1+\dfrac{\rho_0}{\rho_0}\right)$

Answer

(C) $F=Mg\left(1+\dfrac{\rho_0}{\rho}\right)$

Answer

(D) $F=Mg(1\pm\rho\rho_0)$

Question 34

The number of air molecules per $cm^3$ increased from $3	imes10^{19}$ to $12	imes10^{19}$. The ratio of collision frequency of air molecules before and after the increase in number respectively is:

Accepted Answer

(B) $0.25$

Answer

(A) $1.25$

Answer

(C) $0.75$

Answer

(D) $0.50$

Question 35

A source supplies heat to a system at the rate of $1000\,W$. If the system performs work at a rate of $200\,W$. The rate at which internal energy of the system increases is:

Accepted Answer

(D) $800\,W$

Answer

(A) $1200\,W$

Answer

(B) $600\,W$

Answer

(C) $500\,W$

Question 36

A particle is moving with constant speed in a circular path. When the particle turns by an angle $90^\circ$, the ratio of instantaneous velocity to its average velocity is $\pi:x\sqrt2$. The value of $x$ will be:

Accepted Answer

(A) $2$

Answer

(B) $5$

Answer

(C) $1$

Answer

(D) $7$

Question 37

A small block of mass $100\,g$ is tied to a spring of spring constant $7.5\,N/m$ and length $20\,cm$. The other end of spring is fixed at a particular point $A$. If the block moves in a circular path on a smooth horizontal surface with constant angular velocity $5\,rad/s$ about point $A$, then tension in the spring is:

Accepted Answer

(B) $0.75\,N$

Answer

(A) $1.5\,N$

Answer

(C) $0.25\,N$

Answer

(D) $0.50\,N$

Question 38

A monochromatic light wave with wavelength $\lambda_1$ and frequency $v_1$ in air enters another medium. The angle of incidence and angle of refraction at the interface are $45^\circ$ and $30^\circ$ respectively. The wavelength $\lambda_2$ and frequency $v_2$ of the refracted wave are:

Accepted Answer

(B) $\lambda_2=\dfrac{1}{\sqrt2}\lambda_1,\,v_2=v_1$

Answer

(A) $\lambda_2=\lambda_1,\,v_2=\sqrt2v_1$

Answer

(C) $\lambda_2=\sqrt2\lambda_1,\,v_2=v_1$

Answer

(D) $\lambda_2=\lambda_1,\,v_2=\dfrac{1}{\sqrt2}v_1$

Question 39

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: When a body is projected at an angle $45^\circ$, it's range is maximum.
Reason R: For maximum range, the value of $\sin 2	heta$ should be equal to one.
In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

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

Answer

(A) Both A and R are correct 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 40

Two resistances are given as $R_1=(10\pm 0.5)\,\Omega$ and $R_2=(15\pm 0.5)\,\Omega$. The percentage error in the measurement of equivalent resistance when they are connected in parallel is:

Accepted Answer

(C) $4.33$

Answer

(A) $6.33$

Answer

(B) $2.33$

Answer

(D) $5.33$

Question 41

A planet has double the mass of the earth. Its average density is equal to that of the earth. An object weighing $W$ on earth will weigh on that planet:

Accepted Answer

(C) $2^{1/3}\,W$

Answer

(A) $2^{2/3}\,W$

Answer

(B) $2\,W$

Answer

(D) $W$

Question 42

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: Earth has atmosphere whereas moon doesn't have any atmosphere.
Reason R: The escape velocity on moon is very small as compared to that on earth.
In the light of the above statement, choose the correct answer from the options given below:

Accepted Answer

(D) Both A and R are correct and R is correct explanation of A

Answer

(A) A is true but R is false

Answer

(B) A is false but R is true

Answer

(C) Both A and R are correct but R is NOT the correct explanation of A

Question 43

For a uniformly charged thin spherical shell, the electric potential $(V)$ radially away from the centre $(O)$ of shell can be graphically represented as:

Accepted Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Answer

(D) (4)

Question 44

The resistivity $(\rho)$ of semiconductor varies with temperature. Which of the following curve represents the correct behaviour:

Accepted Answer

(B) (2)

Answer

(A) (1)

Answer

(C) (3)

Answer

(D) (4)

Question 45

The kinetic energy of an electron, $\alpha$-particle and a proton are given as $4K,\,2K$ and $K$ respectively. The de-Broglie wavelength associated with electron $(\lambda e)$, $\alpha$-particle $(\lambda\alpha)$ and the proton $(\lambda p)$ are as follows:

Accepted Answer

(C) $\lambda\alpha<\lambda p<\lambda e$

Answer

(A) $\lambda\alpha=\lambda p=\lambda e$

Answer

(B) $\lambda\alpha>\lambda p>\lambda e$

Answer

(D) $\lambda\alpha<\lambda e<\lambda p$

Question 46

By what percentage will the transmission range of a TV tower be affected when the height of the tower is increased by $21\%$?

Accepted Answer

(C) $10\%$

Answer

(A) $14\%$

Answer

(B) $12\%$

Answer

(D) $15\%$

Question 47

The energy levels of an hydrogen atom are shown below. The transition corresponding to emission of shortest wavelength is:

Accepted Answer

(B) D

Answer

(A) C

Answer

(C) B

Answer

(D) A

Question 48

A mass $m$ is attached to two springs as shown in figure. The spring constants of two springs are $K_1$ and $K_2$. For the frictionless surface, the time period of oscillation of mass is:

Accepted Answer

(C) $2\pi\sqrt{\dfrac{m}{K_1+K_2}}$

Answer

(A) $\dfrac{1}{2\pi}\sqrt{\dfrac{K_1+K_2}{m}}$

Answer

(B) $\dfrac{1}{2\pi}\sqrt{\dfrac{K_1-K_2}{m}}$

Answer

(D) $2\pi\sqrt{\dfrac{m}{K_1-K_2}}$

Question 49

The induced emf can be produced in a coil by
A. moving the coil with uniform speed inside uniform magnetic field
B. moving the coil with non-uniform speed inside uniform magnetic field
C. rotating the coil inside the uniform magnetic field
D. changing the area of the coil inside the uniform magnetic field
Choose the correct answer from the options given below:

Accepted Answer

(D) C and D only

Answer

(A) B and D only

Answer

(B) B and C only

Answer

(C) A and C only

Question 50

A long straight wire of circular cross-section (radius $a$) is carrying steady current $I$. The current $I$ is uniformly distributed across this cross-section. The magnetic field is:

Accepted Answer

(C) Directly proportional to $r$ in the region $r<a$ and inversely proportional to $r$ in the region $r>a$

Answer

(A) Zero in the region $r<a$ and inversely proportional to $r$ in the region $r>a$

Answer

(B) Inversely proportional to $r$ in the region $r<a$ and uniform throughout the region $r>a$

Answer

(D) Uniform in the region $r<a$ and inversely proportional to distance $r$ from the axis, in the region $r>a$

Question 51

A pole is vertically submerged in swimming pool, such that it gives a length of shadow $2.15\,m$ within water when sunlight is incident at an angle of $30^\circ$ with the surface of water. If swimming pool is filled to a height of $1.5\,m$, then the height of the pole above the water surface in centimetres is _____ ($n_w=4/3$).

Accepted Answer

50

Question 52

The length of a metallic wire is increased by $20\%$ and its area of cross section is reduced by $4\%$. The percentage change in resistance of the metallic wire is _____.

Accepted Answer

25

Question 53

A particle of mass $10\,g$ moves in a straight line with retardation $2x$, where $x$ is the displacement in SI units. Its loss of kinetic energy for above displacement is $\left(\dfrac{10}{x}\right)^{-n}\,J$. The value of $n$ is _____.

Accepted Answer

2

Question 54

Two identical circular wires of radius $20\,cm$ and carrying current $\sqrt2\,A$ are placed in perpendicular planes as shown in figure. The net magnetic field at the centre of the circular wire is _____ $	imes10^{-8}\,T$. (Take $\pi=3.14$)

Accepted Answer

628

Question 55

A person driving car at a constant speed of $15\,m/s$ is approaching a vertical wall. The person notices a change of $40\,Hz$ in the frequency of his car's horn upon reflection from the wall. The frequency of horn is _____ Hz. (Given: Speed of sound: $330\,m/s$)

Accepted Answer

420

Question 56

The radius of the fifth orbit of the $Li^{++}$ is _____ $	imes10^{-12}\,m$. (radius of hydrogen atom $=0.51\,\mathring{A}$)

Accepted Answer

425

Question 57

A steel rod has a radius of $20\,mm$ and a length of $2.0\,m$. A force of $62.8\,kN$ stretches it along its length. Young's modulus of steel is $2.0	imes10^{11}\,N/m^{2}$. The longitudinal strain produced in the wire is _____ $	imes 10^{-5}$.

Accepted Answer

25

Question 58

An ideal transformer with purely resistive load operates at $12\,kV$ on the primary side. It supplies electrical energy to a number of nearby houses at $120\,V$. The average rate of energy consumption in the houses served by the transformer is $60\,kW$. The value of resistive load $(R_s)$ required in the secondary circuit will be _____ $m\Omega$.

Accepted Answer

240

Question 59

Two identical solid spheres each of mass $2\,kg$ and radius $10\,cm$ are fixed at the ends of a light rod. The separation between the centres of the spheres is $40\,cm$. The moment of inertia of the system about an axis perpendicular to the rod passing through its middle point is _____ $	imes10^{-3}\,kg\,m^{2}$.

Accepted Answer

176

Question 60

A parallel plate capacitor with plate area $A$ and plate separation $d$ is filled with a dielectric material of dielectric constant $K=4$. The thickness of the dielectric material is $x$, where $x<d$. Let $C_1$ and $C_2$ be the capacitance of the system for $x=\dfrac{1}{3}d$ and $x=\dfrac{2}{3}d$, respectively. If $C_1=2\,\mu F$ then the value of $C_2$ is _____ $\mu F$.

Accepted Answer

3

Question 61

A compound is formed by two elements $X$ and $Y$. The element $Y$ forms cubic close packed arrangement and those of element $X$ occupy one third of the tetrahedral voids. What is the formula of the compound?

Accepted Answer

(A) $X_2Y_3$

Answer

(B) $X_3Y$

Answer

(C) $X_3Y_2$

Answer

(D) $XY_3$

Question 62

Match List I with List II.
Choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 63

The standard electrode potential of $M^{+}/M$ in aqueous solution does not depend on:

Accepted Answer

(A) Ionisation of a solid metal atom

Answer

(B) Sublimation of a solid metal

Answer

(C) Ionisation of a gaseous metal atom

Answer

(D) Hydration of a gaseous metal ion

Question 64

Polymer used in orlon is:

Accepted Answer

(A) Polyacrylonitrile

Answer

(B) Polyethene

Answer

(C) Polycarbonate

Answer

(D) Polyamide

List I (Element detected)	List II (Reagent used / Product formed)
A.Nitrogen	I. $Na_2[Fe(CN)_5NO]$
B.Sulphur	II. $AgNO_3$
C.Phosphorous	III. $Fe_4[Fe(CN)_6]_3$
D.Halogen	IV. $(NH_4)_2MoO_4$

List I (Enzymatic reaction)	List II (Enzyme)
A.Sucrose → Glucose and Fructose	I.Zymase
B.Glucose → ethyl alcohol and $CO_2$	II.Pepsin
C.Starch → Maltose	III.Invertase
D.Proteins → Amino acids	IV.Diastase

List I (Name of reaction)	List II (Reagent used)
A.Hell-Volhard-Zelinsky reaction	I. $NaOH+I_2$
B.Iodoform reaction	II.(i) $CrO_2Cl_2,\,CS_2$ (ii) $H_2O$
C.Etard reaction	III.(i) $Br_2$ /red phosphorous (ii) $H_2O$
D.Gatterman-Koch reaction	IV. $CO,\,HCl,$ anhyd. $AlCl_3$

List I (Vitamin)	List II (Deficiency disease)
A.Vitamin A	I.Beri-Beri
B.Thiamine	II.Cheilosis
C.Ascorbic acid	III.Xerophthalmia
D.Riboflavin	IV.Scurvy

List I (Oxide)	List II (Type of Bond)
A. $N_2O_5$	I. $1\,N=O$ bond
B. $NO_2$	II. $1\,N-O-N$ bond
C. $N_2O_3$	III. $1\,N-N$ bond
D. $N_2O$	IV. $1\,N=N/1\,N\equiv N$ bond

JEE Main 6 April 2023 Shift 1 Question Paper with Answers

Physics — JEE Main 6 April 2023 Shift 1

Chemistry — JEE Main 6 April 2023 Shift 1

Mathematics — JEE Main 6 April 2023 Shift 1

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