JEE Main 30 January 2024 Shift 2 Question Paper

Question 1

Consider the system of linear equations $x+y+z=5$, $x+2y+\lambda^2 z=9$, $x+3y+\lambda z=\mu$, where $\lambda,\mu\in R$. Then, which of the following statement is NOT correct?

Accepted Answer

(D) System has unique solution if $\lambda
e 1$ and $\mu
e 13$

Answer

(A) System has infinite number of solutions if $\lambda=1$ and $\mu=13$

Answer

(B) System is inconsistent if $\lambda=1$ and $\mu
e 13$

Answer

(C) System is consistent if $\lambda
e 1$ and $\mu=13$

Question 2

For $\alpha,\beta\in\left(0,\dfrac{\pi}{2}ight)$, let $3\sin(\alpha+\beta)=2\sin(\alpha-\beta)$ and a real number $k$ be such that $	an\alpha=k	an\beta$. Then the value of $k$ is equal to:

Accepted Answer

(B) $-5$

Answer

(A) $-\dfrac{2}{3}$

Answer

(C) $\dfrac{2}{3}$

Answer

(D) $5$

Question 3

Let $A(\alpha,0)$ and $B(0,\beta)$ be the points on the line $5x+7y=50$. Let the point $P$ divide the line segment $AB$ internally in the ratio $7:3$. Let $3x-25=0$ be a directrix of the ellipse $E:\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}=1$ and the corresponding focus be $S$. If from $S$, the perpendicular on the x-axis passes through $P$, then the length of the latus rectum of $E$ is equal to:

Accepted Answer

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

Answer

(A) $\dfrac{25}{3}$

Answer

(B) $\dfrac{32}{9}$

Answer

(C) $\dfrac{25}{9}$

Question 4

Let $\vec{a}=\hat{i}+\alpha\hat{j}+\beta\hat{k}$, $\alpha,\beta\in R$. Let a vector $\vec{b}$ be such that the angle between $\vec{a}$ and $\vec{b}$ is $\dfrac{\pi}{4}$ and $|\vec{b}|^2=6$. If $\vec{a}\cdot\vec{b}=3\sqrt{2}$, then the value of $(\alpha^2+\beta^2)\,|\vec{a}	imes\vec{b}|^2$ is equal to:

Accepted Answer

(A) $90$

Answer

(B) $75$

Answer

(C) $95$

Answer

(D) $85$

Question 5

Let $f(x)=(x+3)^2(x-2)^3$, $x\in[-4,4]$. If $M$ and $m$ are the maximum and minimum values of $f$, respectively in $[-4,4]$, then the value of $M-m$ is:

Accepted Answer

(C) $608$

Answer

(A) $600$

Answer

(B) $392$

Answer

(D) $108$

Question 6

Let $a$ and $b$ be two distinct positive real numbers. Let $11^{	ext{th}}$ term of a GP, whose first term is $a$ and third term is $b$, is equal to $p^{	ext{th}}$ term of another GP, whose first term is $a$ and fifth term is $b$. Then $p$ is equal to:

Accepted Answer

(C) $21$

Answer

(A) $20$

Answer

(B) $25$

Answer

(D) $24$

Question 7

If $x^2-y^2+2hxy+2gx+2fy+c=0$ is the locus of a point, which moves such that it is always equidistant from the lines $x+2y+7=0$ and $2x-y+8=0$, then the value of $g+c+h-f$ equals:

Accepted Answer

(A) $14$

Answer

(B) $6$

Answer

(C) $8$

Answer

(D) $29$

Question 8

Let $\vec{a}$ and $\vec{b}$ be two vectors such that $|\vec{b}|=1$ and $|\vec{b}	imes\vec{a}|=2$. Then $\left|(\vec{b}	imes\vec{a})-\vec{b}ight|^2$ is equal to:

Accepted Answer

(B) $5$

Answer

(A) $3$

Answer

(C) $1$

Answer

(D) $4$

Question 9

Let $y=f(x)$ be a thrice differentiable function in $(-5,5)$. Let the tangents to the curve $y=f(x)$ at $(1,f(1))$ and $(3,f(3))$ make angles $\dfrac{\pi}{6}$ and $\dfrac{\pi}{4}$ respectively with positive x-axis. If $27\displaystyle\int_1^3\left((f'(t))^2+1\right)f''(t)\,dt=\alpha+\beta\sqrt{3}$ where $\alpha,\beta$ are integers, then the value of $\alpha+\beta$ equals:

Accepted Answer

(B) $26$

Answer

(A) $-14$

Answer

(C) $-16$

Answer

(D) $36$

Question 10

Let $P$ be a point on the hyperbola $H:\dfrac{x^2}{9}-\dfrac{y^2}{4}=1$, in the first quadrant such that the area of triangle formed by $P$ and the two foci of $H$ is $2\sqrt{13}$. Then, the square of the distance of $P$ from the origin is:

Accepted Answer

(C) $22$

Answer

(A) $18$

Answer

(B) $26$

Answer

(D) $20$

Question 11

Bag A contains 3 white, 7 red balls and bag B contains 3 white, 2 red balls. One bag is selected at random and a ball is drawn from it. The probability of drawing the ball from bag A, if the ball drawn is white, is:

Accepted Answer

(C) $\dfrac{1}{3}$

Answer

(A) $\dfrac{1}{4}$

Answer

(B) $\dfrac{1}{9}$

Answer

(D) $\dfrac{3}{10}$

Question 12

Let $f:R	o R$ be defined $f(x)=ae^{2x}+be^{x}+cx$. If $f(0)=-1$, $f'(\log_e 2)=21$ and $\displaystyle\int_0^{\log_e 4}(f(x)-cx)\,dx=\dfrac{39}{2}$, then the value of $|a+b+c|$ equals:

Accepted Answer

(D) $8$

Answer

(A) $16$

Answer

(B) $10$

Answer

(C) $12$

Question 13

Let $L_1:\vec{r}=(\hat{i}-\hat{j}+2\hat{k})+\lambda(\hat{i}-\hat{j}+2\hat{k})$, $\lambda\in R$; $L_2:\vec{r}=(\hat{j}-\hat{k})+\mu(3\hat{i}+\hat{j}+p\hat{k})$, $\mu\in R$ and $L_3:\vec{r}=\delta(\ell\hat{i}+m\hat{j}+n\hat{k})$, $\delta\in R$ be three lines such that $L_1$ is perpendicular to $L_2$ and $L_3$ is perpendicular to both $L_1$ and $L_2$. Then the point which lies on $L_3$ is:

Accepted Answer

(A) $(-1,7,4)$

Answer

(B) $(-1,-7,4)$

Answer

(C) $(1,7,-4)$

Answer

(D) $(1,-7,4)$

Question 14

Let $a$ and $b$ be real constants such that the function $f$ defined by $f(x)=\begin{cases}x^2+3x+a, & x\le 1\ bx+2, & x>1\end{cases}$ be differentiable on $R$. Then the value of $\displaystyle\int_{-2}^{2}f(x)\,dx$ equals:

Accepted Answer

(D) $17$

Answer

(A) $\dfrac{15}{6}$

Answer

(B) $\dfrac{19}{6}$

Answer

(C) $21$

Question 15

Let $f:R-\{0\}	o R$ be a function satisfying $f\left(\dfrac{x}{y}ight)=\dfrac{f(x)}{f(y)}$ for all $x,y$, $f(y)
e 0$. If $f'(1)=2024$, then:

Accepted Answer

(A) $xf'(x)-2024f(x)=0$

Answer

(B) $xf'(x)+2024f(x)=0$

Answer

(C) $xf'(x)+f(x)=2024$

Answer

(D) $xf'(x)-2023f(x)=0$

Question 16

If $z$ is a complex number, then the number of common roots of the equation $z^{1985}+z^{100}+1=0$ and $z^3+2z^2+2z+1=0$, is equal to:

Accepted Answer

(B) $2$

Answer

(A) $1$

Answer

(C) $0$

Answer

(D) $3$

Question 17

If the domain of the function $f(x)=\log_e\left(\dfrac{2x+3}{4x^2+x-3}\right)+\cos^{-1}\left(\dfrac{2x-1}{x+2}\right)$ is $(\alpha,\beta]$, then the value of $5\beta-4\alpha$ is equal to:

Accepted Answer

(B) $12$

Answer

(A) $10$

Answer

(C) $11$

Answer

(D) $9$

Question 18

Let $f:R	o R$ be a function defined $f(x)=\dfrac{x}{(1+x^4)^{1/4}}$ and $g(x)=f(f(f(f(x))))$ then $18\displaystyle\int_0^{\sqrt{2\sqrt{5}}}x^2\,g(x)\,dx$

Accepted Answer

(D) $39$

Answer

(A) $33$

Answer

(B) $36$

Answer

(C) $42$

Question 19

Let $R=\begin{bmatrix}x&0&0\0&y&0\0&0&z\end{bmatrix}$ be a non-zero $3	imes 3$ matrix, where $x\sin	heta=y\sin\left(	heta+\dfrac{2\pi}{3}ight)=z\sin\left(	heta+\dfrac{4\pi}{3}ight)
e 0$, $	heta\in(0,2\pi)$. For a square matrix $M$, let trace$(M)$ denote the sum of all the diagonal entries of $M$. Then, among the statements: (I) Trace$(R)=0$ (II) If trace$(	ext{adj}(	ext{adj}(R)))=0$, then $R$ has exactly one non-zero entry.

Accepted Answer

(B) Neither (I) nor (II) is true

Answer

(A) Both (I) and (II) are true

Answer

(C) Only (II) is true

Answer

(D) Only (I) is true

Question 20

Let $Y=Y(X)$ be a curve lying in the first quadrant such that the area enclosed by the line $Y-y=Y'(x)(X-x)$ and the co-ordinate axes, where $(x,y)$ is any point on the curve, is always $\dfrac{-y^2}{2Y'(x)}+1$, $Y'(x)
e 0$. If $Y(1)=1$, then $12\,Y(2)$ equals ______.

Accepted Answer

20

Question 21

Let a line passing through the point $(-1,2,3)$ intersect the lines $L_1:\dfrac{x-1}{3}=\dfrac{y-2}{2}=\dfrac{z+1}{-2}$ at $M(\alpha,\beta,\gamma)$ and $L_2:\dfrac{x+2}{-3}=\dfrac{y-2}{-2}=\dfrac{z-1}{4}$ at $N(a,b,c)$. Then the value of $\dfrac{(\alpha+\beta+\gamma)^2}{(a+b+c)^2}$ equals ______.

Accepted Answer

196

Question 22

Consider two circles $C_1:x^2+y^2=25$ and $C_2:(x-\alpha)^2+y^2=16$. Let the angle between the two radii (one to each circle) drawn from one of the intersection points of $C_1$ and $C_2$ be $\sin^{-1}\left(\dfrac{\sqrt{63}}{8}\right)$. If the length of common chord of $C_1$ and $C_2$ is $\beta$, then the value of $(\alpha\beta)^2$ equals ______.

Accepted Answer

1575

Question 23

Let $\alpha=\displaystyle\sum_{k=0}^{n}\dfrac{\left({}^nC_k\right)^2}{k+1}$ and $\beta=\displaystyle\sum_{k=0}^{n-1}\dfrac{{}^nC_k\,{}^nC_{k+1}}{k+2}$. If $5\alpha=6\beta$, then $n$ equals ______.

Accepted Answer

10

Question 24

Let $S_n$ be the sum to $n$-terms of an arithmetic progression $3,7,11,\ldots$. If $40<\dfrac{6}{n(n+1)}\displaystyle\sum_{k=1}^{n}S_k<42$, then $n$ equals ______.

Accepted Answer

9

Question 25

In an examination of Mathematics paper, there are 20 questions of equal marks and the question paper is divided into three sections : A, B and C. A student is required to attempt total 15 questions taking at least 4 questions from each section. If section A has 8 questions, section B has 6 questions and section C has 6 questions, then the total number of ways a student can select 15 questions is ______.

Accepted Answer

11376

Question 26

The number of symmetric relations defined on the set $\{1,2,3,4\}$ which are not reflexive is ______.

Accepted Answer

960

Question 27

The number of real solutions of the equation $x\left(x^2+3|x|+5|x-1|+6|x-2|\right)=0$ is ______.

Accepted Answer

1

Question 28

The area of the region enclosed by the parabola $(y-2)^2=x-1$, the line $x-2y+4=0$ and the positive coordinate axes is ______.

Accepted Answer

5

Question 29

The variance $\sigma^2$ of the data

| $x_i$ | 0 | 1 | 5 | 6 | 10 | 12 | 17 |
|---|---|---|---|---|---|---|---|
| $f_i$ | 3 | 2 | 3 | 2 | 6 | 3 | 3 |

is ______.

Accepted Answer

29

Question 30

If 50 Vernier divisions are equal to 49 main scale divisions of a travelling microscope and one smallest reading of main scale is 0.5 mm, the Vernier constant of travelling microscope is:

Accepted Answer

(D) 0.01 mm

Answer

(A) 0.1 mm

Answer

(B) 0.1 cm

Answer

(C) 0.01 cm

Question 31

A block of mass 1 kg is pushed up a surface inclined at angle $60^\circ$ by a force of 10 N parallel to the inclined surface as shown in figure. When the block is pushed up by 10 m along inclined surface, the work done against frictional force is: [$g=10\ 	ext{m/s}^2$]

Accepted Answer

(B) 5 J

Answer

(A) $5\sqrt{3}$ J

Answer

(C) $5	imes 10^3$ J

Answer

(D) 10 J

Question 32

For the photoelectric effect, the maximum kinetic energy $(E_k)$ of the photoelectrons is plotted against the frequency $(
u)$ of the incident photons as shown in figure. The slope of the graph gives:

Accepted Answer

(D) Planck's constant

Answer

(A) Ratio of Planck's constant to electric charge

Answer

(B) Work function of the metal

Answer

(C) Charge of electron

Question 33

A block of ice at $-10^\circ$C is slowly heated and converted to steam at $100^\circ$C. Which of the following curves represent the phenomenon qualitatively?

Accepted Answer

(D) (4)

Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Question 34

In a nuclear fission reaction of an isotope of mass M, three similar daughter nuclei of same mass are formed. The speed of a daughter nuclei in terms of mass defect $\Delta M$ will be:

Accepted Answer

(C) $c\sqrt{\dfrac{2\Delta M}{M}}$

Answer

(A) $\sqrt{\dfrac{2c\Delta M}{M}}$

Answer

(B) $\dfrac{\Delta Mc^2}{3}$

Answer

(D) $c\sqrt{\dfrac{3\Delta M}{M}}$

Question 35

Choose the correct statement for processes A & B shown in figure.

Accepted Answer

(A) $PV^\gamma=k$ for process B and $PV=k$ for process A.

Accepted Answer

(C) $\dfrac{P^{\gamma-1}}{T^\gamma}=k$ for process B and $T=k$ for process A.

Answer

(B) $PV=k$ for process B and A.

Answer

(D) $\dfrac{T^\gamma}{P^{\gamma-1}}=k$ for process A and $PV=k$ for process B.

Question 36

An electron revolving in $n^{	ext{th}}$ Bohr orbit has magnetic moment $\mu_n$. If $\mu_n\propto n^x$, then the value of $x$ is:

Accepted Answer

(B) 1

Answer

(A) 2

Answer

(C) 3

Answer

(D) 0

Question 37

An alternating voltage $V(t)=220\sin 100\pi t$ volt is applied to a purely resistive load of $50\,\Omega$. The time taken for the current to rise from half of the peak value to the peak value is:

Accepted Answer

(B) 3.3 ms

Answer

(A) 5 ms

Answer

(C) 7.2 ms

Answer

(D) 2.2 ms

Question 38

A block of mass $m$ is placed on a surface having vertical cross section given by $y=\dfrac{x^2}{4}$. If coefficient of friction is 0.5, the maximum height above the ground at which block can be placed without slipping is:

Accepted Answer

(A) $\dfrac{1}{4}$ m

Answer

(B) $\dfrac{1}{2}$ m

Answer

(C) $\dfrac{1}{6}$ m

Answer

(D) $\dfrac{1}{3}$ m

Question 39

If the total energy transferred to a surface in time $t$ is $6.48	imes10^5$ J, then the magnitude of the total momentum delivered to this surface for complete absorption will be:

Accepted Answer

(B) $2.16	imes10^{-3}$ kg m/s

Answer

(A) $2.46	imes10^{-3}$ kg m/s

Answer

(C) $1.58	imes10^{-3}$ kg m/s

Answer

(D) $4.32	imes10^{-3}$ kg m/s

Question 40

A beam of unpolarised light of intensity $I_0$ is passed through a polaroid A and then through another polaroid B which is oriented so that its principal plane makes an angle of $45^\circ$ relative to that of A. The intensity of emergent light is:

Accepted Answer

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

Answer

(B) $I_0$

Answer

(C) $\dfrac{I_0}{2}$

Answer

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

Question 41

Escape velocity of a body from earth is 11.2 km/s. If the radius of a planet be one-third the radius of earth and mass be one-sixth that of earth, the escape velocity from the planet is:

Accepted Answer

(D) 7.9 km/s

Answer

(A) 11.2 km/s

Answer

(B) 8.4 km/s

Answer

(C) 4.2 km/s

Question 42

A particle of charge $-q$ and mass $m$ moves in a circle of radius $r$ around an infinitely long line charge of linear density $+\lambda$. Then time period will be given as: (Consider $k$ as Coulomb's constant)

Accepted Answer

(B) $T=2\pi r\sqrt{\dfrac{m}{2k\lambda q}}$

Answer

(A) $T^2=\dfrac{4\pi^2 m}{2k\lambda q}r^3$

Answer

(C) $T=\dfrac{1}{2\pi r}\sqrt{\dfrac{m}{2k\lambda q}}$

Answer

(D) $T=\dfrac{1}{2\pi}\sqrt{\dfrac{2k\lambda q}{m}}$

Question 43

If mass is written as $m=k\,c^P G^{-1/2} h^{1/2}$ then the value of $P$ will be: (Constants have their usual meaning with $k$ a dimensionless constant)

Accepted Answer

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

Answer

(B) $\dfrac{1}{3}$

Answer

(C) 2

Answer

(D) $-\dfrac{1}{3}$

Question 44

In the given circuit, the voltage across resistance $(R_L)$ will be:

Accepted Answer

(A) 8.75 V

Answer

(B) 9.00 V

Answer

(C) 8.50 V

Answer

(D) 14.00 V

Question 45

If three moles of monoatomic gas $\left(\gamma=\dfrac{5}{3}\right)$ is mixed with two moles of a diatomic gas $\left(\gamma=\dfrac{7}{5}\right)$, the value of adiabatic exponent $\gamma$ for the mixture is:

Accepted Answer

(C) 1.52

Answer

(A) 1.75

Answer

(B) 1.40

Answer

(D) 1.35

Question 46

Three blocks A, B and C are pulled on a horizontal smooth surface by a force of 80 N as shown in figure. The tensions $T_1$ and $T_2$ in the string are respectively:

Accepted Answer

(A) 40N, 64N

Answer

(B) 60N, 80N

Answer

(C) 88N, 96N

Answer

(D) 80N, 100N

Question 47

When a potential difference V is applied across a wire of resistance R, it dissipates energy at a rate W. If the wire is cut into two halves and these halves are connected mutually parallel across the same supply, the energy dissipation rate will become:

Accepted Answer

(D) $4W$

Answer

(A) $\dfrac{1}{4}W$

Answer

(B) $\dfrac{1}{2}W$

Answer

(C) $2W$

Question 48

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

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 49

A power transmission line feeds input power at 2.3 kV to a step down transformer with its primary winding 3000 turns. The output power is delivered at 230 V to the primary of the transformer is 5A and its efficiency is 90%. The winding of transformer is made of copper. The output current of transformer is ______ A.

Accepted Answer

45

Question 50

A big drop is formed by coalescing 1000 small identical drops of water. If $E_1$ be the total surface energy of 1000 small drops of water and $E_2$ be the surface energy of single big drop of water, then $E_1:E_2$ is $x:1$ where $x=$ ______.

Accepted Answer

10

Question 51

Two discs of moment of inertia $I_1=4$ kg m$^2$ and $I_2=2$ kg m$^2$ about their central axes & normal to their planes, rotating with angular speeds 10 rad/s & 4 rad/s respectively are brought into contact face to face with their axes of rotation coincident. The loss in kinetic energy of the system in the process is ______ J.

Accepted Answer

24

Question 52

In an experiment to measure the focal length (f) of a convex lens, the magnitude of object distance (x) and the image distance (y) are measured with reference to the focal point of the lens. The y-x plot is shown in figure. The focal length of the lens is ______ cm.

Accepted Answer

20

Question 53

A vector has magnitude same as that of $\vec{A}=3\hat{i}+4\hat{j}$ and is parallel to $\vec{B}=4\hat{i}+3\hat{j}$. The x and y components of this vector in first quadrant are $x$ and 3 respectively where $x=$ ______.

Accepted Answer

4

Question 54

The current of 5A flows in a square loop of sides 1 m is placed in air. The magnetic field at centre of the loop is $X\sqrt{2}	imes10^{-7}$ T. The value of $X$ is ______.

Accepted Answer

40

Question 55

Two identical charged spheres are suspended by string of equal lengths. The string make an angle of $37^\circ$ with each other. When suspended in a liquid of density 0.7 g/cm$^3$, the angle remains same. If density of material of the sphere is 1.4 g/cm$^3$, the dielectric constant of the liquid is ______. $\left(	an 37^\circ=\dfrac{3}{4}ight)$

Accepted Answer

2

Question 56

A simple pendulum is placed at a place where its distance from the earth's surface is equal to the radius of the earth. If the length of the string is 4m, then the time period of small oscillations will be ______ s. [take $g=\pi^2$ m/s$^2$]

Accepted Answer

8

Question 57

Two resistance of 100 $\Omega$ and 200 $\Omega$ are connected in series with a battery of 4 V and negligible internal resistance. A voltmeter is used to measure voltage across 100 $\Omega$ resistance, which gives reading as 1 V. The resistance of voltmeter must be ______ $\Omega$.

Accepted Answer

200

Question 58

Which among the following purification methods is based on the principle of "Solubility" in two different solvents?

Accepted Answer

(D) Differential Extraction

Answer

(A) Column Chromatography

Answer

(B) Sublimation

Answer

(C) Distillation

Question 59

Salicylaldehyde is synthesized from phenol, when reacted with:

Accepted Answer

(D) $HCCl_3$, NaOH

Answer

(A) $HCOCl$, NaOH

Answer

(B) $CO_2$, NaOH

Answer

(C) $CCl_4$, NaOH

Question 60

Given below are two statements:
Statement-I: High concentration of strong nucleophilic reagent with secondary alkyl halides which do not have bulky substituents will follow $S_N2$ mechanism.
Statement-II: A secondary alkyl halide when treated with a large excess of ethanol follows $S_N1$ mechanism.
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 true.

Answer

(A) Statement I is true but Statement II is false.

Answer

(B) Statement I is false but Statement II is true.

Answer

(C) Both Statement I and Statement II are false.

Question 61

m-Chlorobenzaldehyde on treatment with 50% KOH solution yields:

Accepted Answer

(B) (2)

Answer

(A) (1)

Answer

(C) (3)

Answer

(D) (4)

Question 62

Given below are two statements. One is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: $H_2Te$ is more acidic than $H_2S$.
Reason R: Bond dissociation enthalpy of $H_2Te$ is lower than $H_2S$.
In the light of the above statements, choose the most appropriate 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 false but R is true.

Answer

(D) A is true but R is false.

Question 63

Product A and B formed in the following set of reactions are:

Accepted Answer

(B) (2)

Answer

(A) (1)

Answer

(C) (3)

Answer

(D) (4)

Question 64

IUPAC name of following compound is:

$CH_3-CH(NH_2)-CH_2-CN$

Accepted Answer

(C) 3-Aminobutanenitrile

Answer

(A) 2-Aminopentanenitrile

Answer

(B) 2-Aminobutanenitrile

Answer

(D) 3-Aminopropanenitrile

List-I	List-II
A.Gauss's law of magnetostatics	I. $\oint \vec{E}\cdot d\vec{a}=\dfrac{1}{\varepsilon_0}\int \rho\,dV$
B.Faraday's law of electromagnetic induction	II. $\oint \vec{B}\cdot d\vec{a}=0$
C.Ampere's law	III. $\oint \vec{E}\cdot d\vec{l}=-\dfrac{d}{dt}\int \vec{B}\cdot d\vec{a}$
D.Gauss's law of electrostatics	IV. $\oint \vec{B}\cdot d\vec{l}=\mu_0 I$

JEE Main 30 January 2024 Shift 2 Question Paper with Answers

Physics — JEE Main 30 January 2024 Shift 2

Chemistry — JEE Main 30 January 2024 Shift 2

Mathematics — JEE Main 30 January 2024 Shift 2

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