JEE Main 31 January 2023 Shift 1 Question Paper

Question 1

If the maximum distance of normal to the ellipse $\frac{x^2}{4}+\frac{y^2}{b^2}=1,\ b<2$, from the origin is $1$, then the eccentricity of the ellipse is :

Accepted Answer

(C) $\frac{\sqrt{3}}{2}$

Answer

(A) $\frac{1}{2}$

Answer

(B) $\frac{\sqrt{3}}{4}$

Answer

(D) $\frac{1}{\sqrt{2}}$

Question 2

Let a differentiable function $f$ satisfy $f(x)+\int_{3}^{x}\frac{f(t)}{t}\,dt=\sqrt{x+1},\ x\ge 3$. Then $12f(8)$ is equal to :

Accepted Answer

(C) 17

Answer

(A) 34

Answer

(B) 1

Answer

(D) 19

Question 3

For all $z\in C$ on the curve $C_1:|z|=4$, let the locus of the point $z+\frac{1}{z}$ be the curve $C_2$. Then :

Accepted Answer

(C) the curves $C_1$ and $C_2$ intersect at 4 points

Answer

(A) the curve $C_1$ lies inside $C_2$

Answer

(B) the curve $C_2$ lies inside $C_1$

Answer

(D) the curves $C_1$ and $C_2$ intersect at 2 points

Question 4

$y=f(x)=\sin^{3}\left(\frac{\pi}{3}\left(\cos\left(\frac{\pi}{3\sqrt{2}}(-4x^{3}+5x^{2}+1)^{\frac{3}{2}}\right)\right)\right)$. Then, at $x=1$,

Accepted Answer

(C) $2y'+3\pi^{2}y=0$

Answer

(A) $\sqrt{2}\,y'-3\pi^{2}y=0$

Answer

(B) $y'+3\pi^{2}y=0$

Answer

(D) $2y'+\sqrt{3}\pi^{2}y=0$

Question 5

A wire of length 20 m is to be cut into two pieces. A piece of length $l_1$ is bent to make a square of area $A_1$ and the other piece of length $l_2$ is made into a circle of area $A_2$. If $2A_1+3A_2$ is minimum then $(\pi l_1):l_2$ is equal to :

Accepted Answer

(B) $6:1$

Answer

(A) $1:6$

Answer

(C) $3:1$

Answer

(D) $4:1$

Question 6

Let a circle $C_1$ be obtained on rolling the circle $x^2+y^2-4x-6y+11=0$ upwards 4 units on the tangent $T$ to it at the point $(3,2)$. Let $C_2$ be the image of $C_1$ in $T$. Let $A$ and $B$ be the centers of circles $C_1$ and $C_2$ respectively, and $M$ and $N$ be respectively the feet of perpendiculars drawn from $A$ and $B$ on the $x$-axis. Then the area of the trapezium AMNB is :

Accepted Answer

(A) $4(1+\sqrt{2})$

Answer

(B) $3+2\sqrt{2}$

Answer

(C) $2(1+\sqrt{2})$

Answer

(D) $2(2+\sqrt{2})$

Question 7

A bag contains 6 balls. Two balls are drawn from it at random and both are found to be black. The probability that the bag contains at least 5 black balls is

Accepted Answer

(B) $\frac{5}{7}$

Answer

(A) $\frac{3}{7}$

Answer

(C) $\frac{5}{6}$

Answer

(D) $\frac{2}{7}$

Question 8

Let $y=f(x)$ represent a parabola with focus $\left(-\frac{1}{2},0ight)$ and directrix $y=-\frac{1}{2}$. Then $S=\left\{x\in\mathbb{R}:	an^{-1}(\sqrt{f(x)})+\sin^{-1}(\sqrt{f(x)+1})=\frac{\pi}{2}ight\}$:

Accepted Answer

(A) contains exactly two elements

Answer

(B) contains exactly one element

Answer

(C) is an empty set

Answer

(D) is an infinite set

Question 9

Let $\vec{a}=2\hat{i}+\hat{j}+\hat{k}$, and $\vec{b}$ and $\vec{c}$ be two nonzero vectors such that $|\vec{a}+\vec{b}+\vec{c}|=|\vec{a}+\vec{b}-\vec{c}|$ and $\vec{b}\cdot\vec{c}=0$. Consider the following two statements: (A) $|\vec{a}+\lambda\vec{c}|\ge|\vec{a}|$ for all $\lambda\in\mathbb{R}$. (B) $\vec{a}$ and $\vec{c}$ are always parallel. Then.

Accepted Answer

(B) only (A) is correct

Answer

(A) both (A) and (B) are correct

Answer

(C) neither (A) nor (B) is correct

Answer

(D) only (B) is correct

Question 10

The value of $\int_{\pi/3}^{\pi/2}\frac{(2+3\sin x)}{\sin x(1+\cos x)}\,dx$ is equal to

Accepted Answer

(D) $\frac{10}{3}-\sqrt{3}+\log_{e}\sqrt{3}$

Answer

(A) $\frac{10}{3}-\sqrt{3}-\log_{e}\sqrt{3}$

Answer

(B) $\frac{7}{2}-\sqrt{3}-\log_{e}\sqrt{3}$

Answer

(C) $-2+3\sqrt{3}+\log_{e}\sqrt{3}$

Question 11

Let the shortest distance between the lines $L:\frac{x-5}{-2}=\frac{y-\lambda}{0}=\frac{z+\lambda}{1},\ \lambda\ge 0$ and $L_1:x+1=y-1=4-z$ be $2\sqrt{6}$. If $(\alpha,\beta,\gamma)$ lies on $L$, then which of the following is NOT possible ?

Accepted Answer

(D) $\alpha+2\gamma=24$

Answer

(A) $\alpha-2\gamma=19$

Answer

(B) $2\alpha+\gamma=7$

Answer

(C) $2\alpha-\gamma=9$

Question 12

For the system of linear equations $x+y+z=6$, $\alpha x+\beta y+7z=3$, $x+2y+3z=14$ which of the following is NOT true ?

Accepted Answer

(C) For every point $(\alpha,\beta)
eq(7,7)$ on the line $x-2y+7=0$, the system has infinitely many solutions

Answer

(A) If $\alpha=\beta$ and $\alpha
eq 7$, then the system has a unique solution

Answer

(B) If $\alpha=\beta=7$, then the system has no solution

Answer

(D) There is a unique point $(\alpha,\beta)$ on the line $x+2y+18=0$ for which the system has infinitely many solutions

Question 13

If the domain of the function $f(x)=\frac{[x]}{1+x^{2}}$, where $[x]$ is greatest integer $\le x$, is $[2,6)$, then its range is

Accepted Answer

(C) $\left(\frac{5}{37},\frac{2}{5}\right]$

Answer

(A) $\left(\frac{5}{26},\frac{2}{5}\right]$

Answer

(B) $\left(\frac{5}{37},\frac{2}{5}\right]-\left\{\frac{9}{29},\frac{27}{109},\frac{18}{89},\frac{9}{53}\right\}$

Answer

(D) $\left(\frac{5}{26},\frac{2}{5}\right]-\left\{\frac{9}{29},\frac{27}{109},\frac{18}{89},\frac{9}{53}\right\}$

Question 14

Let R be a relation on $N	imes N$ defined by $(a,b)R(c,d)$ if and only if $ad(b-c)=bc(a-d)$. Then R is

Accepted Answer

(B) symmetric but neither reflexive nor transitive

Answer

(A) transitive but neither reflexive nor symmetric

Answer

(C) symmetric and transitive but not reflexive

Answer

(D) reflexive and symmetric but not transitive

Question 15

(S1) $(p\Rightarrow q)\vee(p\wedge(\sim q))$ is a tautology. (S2) $((\sim p)\Rightarrow(\sim q))\wedge((\sim p)\vee q)$ is a contradiction. Then

Accepted Answer

(B) only (S1) is correct

Answer

(A) both (S1) and (S2) are correct

Answer

(C) only (S2) is correct

Answer

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

Question 16

If the sum and product of four positive consecutive terms of a G.P., are 126 and 1296, respectively, then the sum of common ratios of all such GPs is

Accepted Answer

(A) $7$

Answer

(B) $3$

Answer

(C) $\frac{9}{2}$

Answer

(D) $14$

Question 17

Let $A = \begin{pmatrix} 1 & 0 & 0 \ 0 & 4 & -1 \ 0 & 12 & -3 \end{pmatrix}$. Then the sum of the diagonal elements of the matrix $(A + I)^{11}$ is equal to

Accepted Answer

(C) $4097$

Answer

(A) $6144$

Answer

(B) $2050$

Answer

(D) $4094$

Question 18

The number of real roots of the equation $\sqrt{x^2 - 4x + 3} + \sqrt{x^2 - 9} = \sqrt{4x^2 - 14x + 6}$, is :

Accepted Answer

(B) $1$

Answer

(A) $3$

Answer

(C) $2$

Answer

(D) $0$

Question 19

If $\sin^{-1}\frac{\alpha}{17} + \cos^{-1}\frac{4}{5} - 	an^{-1}\frac{77}{36} = 0,\ 0 < \alpha < 13$, then $\sin^{-1}(\sin \alpha) + \cos^{-1}(\cos \alpha)$ is equal to

Accepted Answer

(C) $\pi$

Answer

(A) $16$

Answer

(B) $0$

Answer

(D) $16 - 5\pi$

Question 20

Let $\alpha \in (0,1)$ and $\beta = \log_e(1 - \alpha)$. Let $P_n(x) = x + \frac{x^2}{2} + \frac{x^3}{3} + \cdots + \frac{x^n}{n},\ x \in (0,1)$. Then the integral $\int_0^{\alpha} \frac{t^{50}}{1 - t}\, dt$ is equal to

Accepted Answer

(D) $-(\beta + P_{50}(\alpha))$

Answer

(A) $\beta + P_{50}(\alpha)$

Answer

(B) $P_{50}(\alpha) - \beta$

Answer

(C) $\beta - P_{50}(\alpha)$

Question 21

Let $\alpha > 0$, be the smallest number such that the expansion of $\left(x^{\frac{2}{3}} + \frac{2}{x^3}\right)^{30}$ has a term $\beta x^{-\alpha},\ \beta \in \mathbb{N}$. Then $\alpha$ is equal to

Accepted Answer

2

Question 22

Let for $x \in \mathbb{R}$, $f(x) = \frac{x + |x|}{2}$ and $g(x) = \begin{cases} x, & x < 0 \ x^2, & x \ge 0 \end{cases}$. Then area bounded by the curve $y = (f \circ g)(x)$ and the lines $y = 0,\ 2y - x = 15$ is equal to

Accepted Answer

72

Question 23

Number of 4-digit numbers that are less than or equal to 2800 and either divisible by 3 or by 11, is equal to

Accepted Answer

710

Question 24

If the variance of the frequency distribution with values $x_i = 2, 3, 4, 5, 6, 7, 8$ and corresponding frequencies $f_i = 3, 6, 16, \alpha, 9, 5, 6$ is 3, then $\alpha$ is equal to

Accepted Answer

5

Question 25

Let $	heta$ be the angle between the planes $P_1: \vec{r} \cdot (\hat{i} + \hat{j} + 2\hat{k}) = 9$ and $P_2: \vec{r} \cdot (2\hat{i} - \hat{j} + \hat{k}) = 15$. Let $L$ be the line that meets $P_2$ at the point $(4, -2, 5)$ and makes an angle $	heta$ with the normal of $P_2$. If $\alpha$ is the angle between $L$ and $P_2$, then $(	an^2 	heta)(\cot^2 \alpha)$ is equal to

Accepted Answer

9

Question 26

Let 5 digit numbers be constructed using the digits $0, 2, 3, 4, 7, 9$ with repetition allowed, and are arranged in ascending order with serial numbers. Then the serial number of the number 42923 is

Accepted Answer

2997

Question 27

Let $\vec{a}$ and $\vec{b}$ be two vectors such that $|\vec{a}| = \sqrt{14}$, $|\vec{b}| = \sqrt{6}$ and $|\vec{a} 	imes \vec{b}| = \sqrt{48}$. Then $(\vec{a} \cdot \vec{b})^2$ is equal to

Accepted Answer

36

Question 28

Let the line $L: \frac{x-1}{2} = \frac{y+1}{-1} = \frac{z-3}{1}$ intersect the plane $2x + y + 3z = 16$ at the point $P$. Let the point $Q$ be the foot of perpendicular from the point $R(1, -1, -3)$ on the line $L$. If $\alpha$ is the area of triangle $PQR$, then $\alpha^2$ is equal to

Accepted Answer

180

Question 29

Let $a_1, a_2, \ldots, a_n$ be in A.P. If $a_5 = 2a_7$ and $a_{11} = 18$, then $12\left(\frac{1}{\sqrt{a_{10}} + \sqrt{a_{11}}} + \frac{1}{\sqrt{a_{11}} + \sqrt{a_{12}}} + \cdots + \frac{1}{\sqrt{a_{17}} + \sqrt{a_{18}}}\right)$ is equal to

Accepted Answer

8

Question 30

The remainder on dividing $5^{99}$ by 11 is :

Accepted Answer

9

Question 31

The maximum potential energy of a block executing simple harmonic motion is $25$ J. $A$ is amplitude of oscillation. At $A/2$, the kinetic energy of the block is :

Accepted Answer

(A) $18.75$ J

Answer

(B) $9.75$ J

Answer

(C) $37.5$ J

Answer

(D) $12.5$ J

Question 32

The drift velocity of electrons for a conductor connected in an electrical circuit is $V_d$. The conductor is now replaced by another conductor with same material and same length but double the area of cross section. The applied voltage remains same. The new drift velocity of electrons will be

Accepted Answer

(A) $V_d$

Answer

(B) $\frac{V_d}{4}$

Answer

(C) $2V_d$

Answer

(D) $\frac{V_d}{2}$

Question 33

The initial speed of a projectile fired from ground is $u$. At the highest point during its motion, the speed of projectile is $\frac{\sqrt{3}}{2}u$. The time of flight of the projectile is :

Accepted Answer

(D) $\frac{u}{g}$

Answer

(A) $\frac{2u}{g}$

Answer

(B) $\frac{u}{2g}$

Answer

(C) $\frac{\sqrt{3}u}{g}$

Question 34

The correct relation between $\gamma=\frac{C_p}{C_v}$ and temperature $T$ is :

Accepted Answer

(A) $\gamma \alpha\, T^0$

Answer

(B) $\gamma \alpha\, T$

Answer

(C) $\gamma \alpha\, \frac{1}{\sqrt{T}}$

Answer

(D) $\gamma \alpha\, \frac{1}{T}$

Question 35

The effect of increase in temperature on the number of electrons in conduction band $(n_e)$ and resistance of a semiconductor will be as:

Accepted Answer

(D) $n_e$ increases, resistance decreases

Answer

(A) Both $n_e$ and resistance increase

Answer

(B) Both $n_e$ and resistance decrease

Answer

(C) $n_e$ decreases, resistance increases

Question 36

The amplitude of $15\sin(1000\pi t)$ is modulated by $10\sin(4\pi t)$ signal. The amplitude modulated signal contains frequency (ies) of
A. $500$ Hz
B. $2$ Hz
C. $250$ Hz
D. $498$ Hz
E. $502$ Hz
Choose the correct answer from the options given below:

Accepted Answer

(D) A, D and E Only

Answer

(A) A Only

Answer

(B) B Only

Answer

(C) A and B Only

Question 37

Two polaroids $A$ and $B$ are placed in such a way that the pass-axis of polaroids are perpendicular to each other. Now, another polaroid $C$ is placed between $A$ and $B$ bisecting angle between them. If intensity of unpolarized light is $I_0$ then intensity of transmitted light after passing through polaroid $B$ will be:

Accepted Answer

(D) $\frac{I_0}{8}$

Answer

(A) $\frac{I_0}{4}$

Answer

(B) $\frac{I_0}{2}$

Answer

(C) Zero

Question 38

As shown in figure, a $70$ kg garden roller is pushed with a force of $\vec{F}=200$ N at an angle of $30^\circ$ with horizontal. The normal reaction on the roller is (Given $g=10$ m s$^{-2}$)

Accepted Answer

(D) $800$ N

Answer

(A) $800\sqrt{2}$ N

Answer

(B) $200\sqrt{3}$ N

Answer

(C) $600$ N

Question 39

If $1000$ droplets of water of surface tension $0.07$ N/m, having same radius $1$ mm each, combine to from a single drop. In the process the released surface energy is- (Take $\pi=\frac{22}{7}$)

Accepted Answer

(B) $7.92 	imes 10^{-4}$ J

Answer

(A) $8.8 	imes 10^{-5}$ J

Answer

(C) $7.92 	imes 10^{-6}$ J

Answer

(D) $9.68 	imes 10^{-4}$ J

Question 40

The pressure of a gas changes linearly with volume from $A$ to $B$ as shown in figure. If no heat is supplied to or extracted from the gas then change in the internal energy of the gas will be

Accepted Answer

(C) $4.5$ J

Answer

(A) $-4.5$ J

Answer

(B) zero

Answer

(D) $6$ J

Question 41

Given below are two statements: One is labelled as Assertion A and the other is labelled as Reason R
Assertion A: The beam of electrons show wave nature and exhibit interference and diffraction.
Reason R: Davisson Germer Experimentally verified the wave nature of electrons.
In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

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

Answer

(B) A is not correct but R is correct

Answer

(C) A is correct but R is not correct

Answer

(D) Both A and R are correct but R is Not the correct explanation of A

Question 42

A free neutron decays into a proton but a free proton does not decay into neutron. This is because

Accepted Answer

(D) neutron has larger rest mass than proton

Answer

(A) proton is a charged particle

Answer

(B) neutron is an uncharged particle

Answer

(C) neutron is a composite particle made of a proton and an electron

Question 43

Spherical insulating ball and a spherical metallic ball of same size and mass are dropped from the same height. Choose the correct statement out of the following Assume negligible air friction)

Accepted Answer

(A) Insulating ball will reach the earth's surface earlier than the metal ball

Answer

(B) Metal ball will reach the earth's surface earlier than the insulating ball

Answer

(C) Both will reach the earth's surface simultaneously

Answer

(D) Time taken by them to reach the earth's surface will be independent of the properties of their materials

Question 44

If $R$, $X_L$ and $X_C$ represent resistance, inductive reactance and capacitive reactance. Then which of the following is dimensionless :

Accepted Answer

(B) $\frac{R}{\sqrt{X_L X_C}}$

Answer

(A) $\frac{R}{X_L X_C}$

Answer

(C) $R\frac{X_L}{X_C}$

Answer

(D) $RX_L X_C$

Question 45

$100$ balls each of mass $m$ moving with speed $v$ simultaneously strike a wall normally and reflected back with same speed, in time $t$ sec. The total force exerted by the balls on the wall is

Accepted Answer

(D) $\frac{200mv}{t}$

Answer

(A) $\frac{100mv}{t}$

Answer

(B) $200mvt$

Answer

(C) $\frac{mv}{100t}$

Question 46

If a source of electromagnetic radiation having power $15$ kW produces $10^{16}$ photons per second, the radiation belongs to a part of spectrum is. (Take Planck constant $h = 6 	imes 10^{-34}$ Js)

Accepted Answer

(C) Gamma rays

Answer

(A) Micro waves

Answer

(B) Ultraviolet rays

Answer

(D) Radio waves

Question 47

Which of the following correctly represents the variation of electric potential ($V$) of a charged spherical conductor of radius ($R$) with radial distance ($r$) from the center?

Accepted Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Answer

(D) (4)

Question 48

A bar magnet with a magnetic moment $5.0\,	ext{Am}^2$ is placed in parallel position relative to a magnetic field of $0.4$ T. The amount of required work done in turning the magnet from parallel to antiparallel position relative to the field direction is __________.

Accepted Answer

(B) $4$ J

Answer

(A) $1$ J

Answer

(C) $2$ J

Answer

(D) zero

Question 49

At a certain depth "$d$" below surface of earth, value of acceleration due to gravity becomes four times that of its value at a height $3R$ above earth surface. Where $R$ is Radius of earth (Take $R = 6400$ km). The depth $d$ is equal to

Accepted Answer

(A) $4800$ km

Answer

(B) $2560$ km

Answer

(C) $640$ km

Answer

(D) $5260$ km

Question 50

A rod with circular cross-section area $2\,	ext{cm}^2$ and length $40$ cm is wound uniformly with $400$ turns of an insulated wire. If a current of $0.4$ A flows in the wire windings, the total magnetic flux produced inside windings is $4\pi 	imes 10^{-6}$ Wb. The relative permeability of the rod is (Given: Permeability of vacuum $\mu_0 = 4\pi 	imes 10^{-7}\,	ext{NA}^{-2}$)

Accepted Answer

(A) $\frac{5}{16}$

Answer

(B) $12.5$

Answer

(C) $125$

Answer

(D) $\frac{32}{5}$

Question 51

In a medium the speed of light wave decreases to $0.2$ times to its speed in free space. The ratio of relative permittivity to the refractive index of the medium is $x:1$. The value of $x$ is (Given speed of light in free space $= 3 	imes 10^8\,	ext{m s}^{-1}$ and for the given medium $\mu_r = 1$)

Accepted Answer

5

Question 52

A solid sphere of mass $1$ kg rolls without slipping on a plane surface. Its kinetic energy is $7 	imes 10^{-3}$ J. The speed of the centre of mass of the sphere is __________ $	ext{cms}^{-1}$

Accepted Answer

10

Question 53

A lift of mass $M = 500$ kg is descending with speed of $2\,	ext{ms}^{-1}$. Its supporting cable begins to slip thus allowing it to fall with a constant acceleration of $2\,	ext{ms}^{-2}$. The kinetic energy of the lift at the end of fall through to a distance of $6$ m will be __________ kJ.

Accepted Answer

7

Question 54

In the figure given below, a block of mass $M = 490$ g placed on a frictionless table is connected with two springs having same spring constant ($K = 2\,	ext{N m}^{-1}$). If the block is horizontally displaced through '$X$' m then the number of complete oscillations it will make in $14\pi$ seconds will be __________.

Accepted Answer

20

Question 55

An inductor of $0.5$ mH, a capacitor of $20\,\mu	ext{F}$ and resistance of $20\,\Omega$ are connected in series with a $220$ V ac source. If the current is in phase with the emf, the amplitude of current of the circuit is $\sqrt{x}$ A. The value of $x$ is-

Accepted Answer

242

Question 56

The speed of a swimmer is $4\,	ext{km h}^{-1}$ in still water. If the swimmer makes his strokes normal to the flow of river of width $1$ km, he reaches a point $750$ m down the stream on the opposite bank. The speed of the river water is __________ $	ext{kmh}^{-1}$.

Accepted Answer

3

Question 57

For hydrogen atom, $\lambda_1$ and $\lambda_2$ are the wavelengths corresponding to the transitions 1 and 2 respectively as shown in figure. The ratio of $\lambda_1$ and $\lambda_2$ is $\frac{x}{32}$. The value of $x$ is __________.

Accepted Answer

27

Question 58

Two identical cells, when connected either in parallel or in series gives same current in an external resistance $5\,\Omega$. The internal resistance of each cell will be __________ $\Omega$.

Accepted Answer

5

Question 59

Expression for an electric field is given by $\vec{E} = 4000\,x^2\,\hat{i}\,\frac{	ext{V}}{	ext{m}}$. The electric flux through the cube of side $20$ cm when placed in electric field (as shown in the figure) is __________ V cm.

Accepted Answer

640

Question 60

A thin rod having a length of $1$ m and area of cross-section $3 	imes 10^{-6}\,	ext{m}^2$ is suspended vertically from one end. The rod is cooled from $210^\circ$C to $160^\circ$C. After cooling, a mass $M$ is attached at the lower end of the rod such that the length of rod again becomes $1$ m. Young's modulus and coefficient of linear expansion of the rod are $2 	imes 10^{11}\,	ext{N m}^{-2}$ and $2 	imes 10^{-5}\,	ext{K}^{-1}$, respectively. The value of M is __________ kg. (Take $g = 10\,	ext{m s}^{-2}$)

Accepted Answer

60

Question 61

Match items of Column I (Mixture of compounds) with Column II (Separation Technique).

Accepted Answer

(A) A-(ii), B-(iii), C-(iv), D-(i)

Answer

(B) A-(i), B-(iii), C-(ii), D-(iv)

Answer

(C) A-(ii), B-(i), C-(iv), D-(iii)

Answer

(D) A-(iii), B-(ii), C-(i), D-(iv)

Question 62

Consider the following reaction and identify the product B.

$Ph-NO_2 \xrightarrow[C_2H_5OH]{H_2/Pd} [A] \xrightarrow[Pyridine]{(CH_3CO)_2O} [B]$

Accepted Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Answer

(D) (4)

Question 63

An organic compound 'A' with empirical formula $C_6H_6O$ gives sooty flame on burning. Its reaction with bromine solution in low polarity solvent results in high yield of B. B is

Accepted Answer

(C) (3)

Answer

(A) (1)

Answer

(B) (2)

Answer

(D) (4)

Question 64

When $Cu^{2+}$ ion is treated with KI, a white precipitate, X appears in solution. The solution is titrated with sodium thiosulphate, the compound Y is formed. X and Y respectively are

Accepted Answer

(D) X = $Cu_2I_2$, Y = $Na_2S_4O_6$

Answer

(A) X = $CuI_2$, Y = $Na_2S_4O_6$

Answer

(B) X = $CuI_2$, Y = $Na_2S_2O_3$

Answer

(C) X = $Cu_2I_2$, Y = $Na_2S_4O_5$

Column I (Mixture of compounds)	Column II (Separation Technique)
A. $H_2O$ / $CH_2Cl_2$	i.Crystallization
B.1-Tetralone / 4-Nitrophenol	ii.Differential solvent extraction
C.Kerosene / Naphthalene	iii.Column chromatography
D. $C_6H_{12}O_6$ / NaCl	iv.Fractional distillation

List I	List II
A. $XeF_4$	I.See-saw
B. $SF_4$	II.Square planar
C. $NH_4^+$	III.Bent T-shaped
D. $BrF_3$	IV.Tetrahedral

JEE Main 31 January 2023 Shift 1 Question Paper with Answers

Physics — JEE Main 31 January 2023 Shift 1

Chemistry — JEE Main 31 January 2023 Shift 1

Mathematics — JEE Main 31 January 2023 Shift 1

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