JEE Main 6 April 2024 Shift 2 Question Paper

Question 1

Let ABC be an equilateral triangle. A new triangle is formed by joining the middle points of all sides of the triangle ABC and the same process is repeated infinitely many times. If P is the sum of perimeters and Q is be the sum of areas of all the triangles formed in this process, then:

Accepted Answer

(A) $P^2 = 36\sqrt{3}\,Q$

Answer

(B) $P^2 = 6\sqrt{3}\,Q$

Answer

(C) $P = 36\sqrt{3}\,Q^2$

Answer

(D) $P^2 = 72\sqrt{3}\,Q$

Question 2

Let $A = \{1, 2, 3, 4, 5\}$. Let R be a relation on A defined by $xRy$ if and only if $4x \le 5y$. Let m be the number of elements in R and n be the minimum number of elements from $A 	imes A$ that are required to be added to R to make it a symmetric relation. Then $m + n$ is equal to:

Accepted Answer

(C) 25

Answer

(A) 24

Answer

(B) 23

Answer

(D) 26

Question 3

If three letters can be posted to any one of the 5 different addresses, then the probability that the three letters are posted to exactly two addresses is:

Accepted Answer

(A) $	frac{12}{25}$

Answer

(B) $	frac{18}{25}$

Answer

(C) $	frac{4}{25}$

Answer

(D) $	frac{6}{25}$

Question 4

Suppose the solution of the differential equation $\frac{dy}{dx} = \frac{(2+\alpha)x - \beta y + 2}{\beta x - 2\alpha y - (\beta\gamma - 4\alpha)}$ represents a circle passing through origin. Then the radius of this circle is:

Accepted Answer

(C) $	frac{\sqrt{17}}{2}$

Answer

(A) $\sqrt{17}$

Answer

(B) $	frac{1}{2}$

Answer

(D) 2

Question 5

If the locus of the point, whose distances from the point $(2, 1)$ and $(1, 3)$ are in the ratio $5 : 4$, is $ax^2 + by^2 + cxy + dx + ey + 170 = 0$, then the value of $a^2 + 2b + 3c + 4d + e$ is equal to:

Accepted Answer

(C) 37

Answer

(A) 5

Answer

(B) $-27$

Answer

(D) 437

Question 6

$\lim_{n	o\infty} \frac{(1^2-1)(n-1) + (2^2-2)(n-2) + \cdots + ((n-1)^2-(n-1))\cdot 1}{(1^3 + 2^3 + \cdots + n^3) - (1^2 + 2^2 + \cdots + n^2)}$ is equal to:

Accepted Answer

(B) $	frac{1}{3}$

Answer

(A) $	frac{2}{3}$

Answer

(C) $	frac{3}{4}$

Answer

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

Question 7

Let $0 \le r \le n$. If $^{n+1}C_{r+1} : {}^{n}C_{r} : {}^{n-1}C_{r-1} = 55 : 35 : 21$, then $2n + 5r$ is equal to:

Accepted Answer

(C) 50

Answer

(A) 60

Answer

(B) 62

Answer

(D) 55

Question 8

A software company sets up m number of computer systems to finish an assignment in 17 days. If 4 computer systems crashed on the start of the second day, 4 more computer systems crashed on the start of the third day and so on, then it took 8 more days to finish the assignment. The value of m is equal to:

Accepted Answer

(B) 150

Answer

(A) 125

Answer

(C) 180

Answer

(D) 160

Question 9

If $z_1, z_2$ are two distinct complex number such that $\left|\frac{z_1 - 2z_2}{\frac{1}{2} - z_1\bar{z_2}}\right| = 2$, then

Accepted Answer

(A) either $z_1$ lies on a circle of radius 1 or $z_2$ lies on a circle of radius $	frac{1}{2}$

Answer

(B) either $z_1$ lies on a circle of radius $	frac{1}{2}$ or $z_2$ lies on a circle of radius 1.

Answer

(C) $z_1$ lies on a circle of radius $	frac{1}{2}$ and $z_2$ lies on a circle of radius 1.

Answer

(D) both $z_1$ and $z_2$ lie on the same circle.

Question 10

If the function $f(x) = \left(\frac{1}{x}\right)^{2x}$ ; $x > 0$ attains the maximum value at $x = \frac{1}{e}$ then:

Accepted Answer

(C) $e^{\pi} > \pi^{e}$

Answer

(A) $e^{\pi} < \pi^{e}$

Answer

(B) $e^{2\pi} < (2\pi)^{e}$

Answer

(D) $(2e)^{\pi} > \pi^{(2e)}$

Question 11

Let $\vec{a} = 6\hat{i} + \hat{j} - \hat{k}$ and $\vec{b} = \hat{i} + \hat{j}$. If $\vec{c}$ is a vector such that $|\vec{c}| \ge 6$, $\vec{a}\cdot\vec{c} = 6|\vec{c}|$, $|\vec{c} - \vec{a}| = 2\sqrt{2}$ and the angle between $\vec{a}	imes\vec{b}$ and $\vec{c}$ is $60^\circ$, then $|(\vec{a}	imes\vec{b})	imes\vec{c}|$ is equal to:

Accepted Answer

(D) $	frac{9}{2}(6 + \sqrt{6})$

Answer

(A) $	frac{9}{2}(6 - \sqrt{6})$

Answer

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

Answer

(C) $	frac{3}{2}\sqrt{6}$

Question 12

If all the words with or without meaning made using all the letters of the word "NAGPUR" are arranged as in a dictionary, then the word at $315^{th}$ position in this arrangement is:

Accepted Answer

(C) NRAPGU

Answer

(A) NRAGUP

Answer

(B) NRAGPU

Answer

(D) NRAPUG

Question 13

Suppose for a differentiable function h, $h(0) = 0$, $h(1) = 1$ and $h'(0) = h'(1) = 2$. If $g(x) = h(e^x)\,e^{h(x)}$, then $g'(0)$ is equal to:

Accepted Answer

(D) 4

Answer

(A) 5

Answer

(B) 3

Answer

(C) 8

Question 14

Let $P(\alpha, \beta, \gamma)$ be the image of the point $Q(3, -3, 1)$ in the line $\frac{x-0}{1} = \frac{y-3}{1} = \frac{z-1}{-1}$ and R be the point $(2, 5, -1)$. If the area of the triangle PQR is $\lambda$ and $\lambda^2 = 14K$, then K is equal to:

Accepted Answer

(D) 81

Answer

(A) 36

Answer

(B) 72

Answer

(C) 18

Question 15

If $P(6, 1)$ be the orthocentre of the triangle whose vertices are $A(5, -2)$, $B(8, 3)$ and $C(h, k)$, then the point C lies on the circle.

Accepted Answer

(A) $x^2 + y^2 - 65 = 0$

Answer

(B) $x^2 + y^2 - 74 = 0$

Answer

(C) $x^2 + y^2 - 61 = 0$

Answer

(D) $x^2 + y^2 - 52 = 0$

Question 16

Let $f(x)=\frac{1}{7-\sin 5x}$ be a function defined on $R$. Then the range of the function $f(x)$ is equal to:

Accepted Answer

(D) $\left[\frac{1}{8},\frac{1}{6}\right]$

Answer

(A) $\left[\frac{1}{8},\frac{1}{5}\right]$

Answer

(B) $\left[\frac{1}{7},\frac{1}{6}\right]$

Answer

(C) $\left[\frac{1}{7},\frac{1}{5}\right]$

Question 17

Let $\vec{a}=2\hat{i}+\hat{j}-\hat{k}$, $\vec{b}=\left(\left(\vec{a}	imes(\hat{i}+\hat{j})ight)	imes\hat{i}ight)	imes\hat{i}$. Then the square of the projection of $\vec{a}$ on $\vec{b}$ is:

Accepted Answer

(B) $2$

Answer

(A) $\frac{1}{5}$

Answer

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

Answer

(D) $\frac{2}{3}$

Question 18

If the area of the region $\left\{(x,y):\frac{a}{x^{2}}\le y\le\frac{1}{x},\,1\le x\le 2,\,0<a<1\right\}$ is $(\log_{e}2)-\frac{1}{7}$ then the value of $7a-3$ is equal to:

Accepted Answer

(C) $-1$

Answer

(A) $2$

Answer

(B) $0$

Answer

(D) $1$

Question 19

If $\int\frac{1}{a^{2}\sin^{2}x+b^{2}\cos^{2}x}\,dx=\frac{1}{12}	an^{-1}(3	an x)+$ constant, then the maximum value of $a\sin x+b\cos x$, is:

Accepted Answer

(A) $\sqrt{40}$

Answer

(B) $\sqrt{39}$

Answer

(C) $\sqrt{42}$

Answer

(D) $\sqrt{41}$

Question 20

If $A$ is a square matrix of order $3$ such that $\det(A)=3$ and $\det\left(\operatorname{adj}\left(-4\,\operatorname{adj}\left(-3\,\operatorname{adj}\left(3\,\operatorname{adj}\left((2A)^{-1}\right)\right)\right)\right)\right)=2^{m}3^{n}$, then $m+2n$ is equal to:

Accepted Answer

(C) $4$

Answer

(A) $3$

Answer

(B) $2$

Answer

(D) $6$

Question 21

Let $[t]$ denote the greatest integer less than or equal to $t$. Let $f:[0,\infty)	o R$ be a function defined by $f(x)=\left[\frac{x}{2}+3ight]-\left[\sqrt{x}ight]$. Let $S$ be the set of all points in the interval $[0,8]$ at which $f$ is not continuous. Then $\sum_{a\in S}a$ is equal to ______.

Accepted Answer

17

Question 22

The length of the latus rectum and directrices of a hyperbola with eccentricity $e$ are $9$ and $x=\pm\frac{4}{\sqrt{3}}$, respectively. Let the line $y-\sqrt{3}x+\sqrt{3}=0$ touch this hyperbola at $(x_{0},y_{0})$. If $m$ is the product of the focal distances of the point $(x_{0},y_{0})$, then $4e^{2}+m$ is equal to ______.

Accepted Answer

61

Question 23

If $S(x)=(1+x)+2(1+x)^{2}+3(1+x)^{3}+\dots+60(1+x)^{60}$, $x
eq 0$, and $(60)^{2}S(60)=a(b)^{b}+b$, where $a,b\in N$, then $(a+b)$ equal to ______.

Accepted Answer

3660

Question 24

Let $[t]$ denote the largest integer less than or equal to $t$. If $\int_{0}^{3}\left([x^{2}]+\left[\frac{x^{2}}{2}\right]\right)dx=a+b\sqrt{2}-\sqrt{3}-\sqrt{5}+c\sqrt{6}-\sqrt{7}$, where $a,b,c\in Z$, then $a+b+c$ is equal to ______.

Accepted Answer

23

Question 25

From a lot of $12$ items containing $3$ defectives, a sample of $5$ items is drawn at random. Let the random variable $X$ denote the number of defective items in the sample. Let items in the sample be drawn one by one without replacement. If variance of $X$ is $\frac{m}{n}$, where $\gcd(m,n)=1$, then $n-m$ is equal to ______.

Accepted Answer

71

Question 26

In a triangle $ABC$, $BC=7$, $AC=8$, $AB=\alpha\in N$ and $\cos A=\frac{2}{3}$. If $49\cos(3C)+42=\frac{m}{n}$, where $\gcd(m,n)=1$, then $m+n$ is equal to ______.

Accepted Answer

39

Question 27

If the shortest distance between the lines $\frac{x-\lambda}{3}=\frac{y-2}{-1}=\frac{z-1}{1}$ and $\frac{x+2}{-3}=\frac{y+5}{2}=\frac{z-4}{4}$ is $\frac{44}{\sqrt{30}}$, then the largest possible value of $|\lambda|$ is equal to ______.

Accepted Answer

43

Question 28

Let $\alpha,\beta$ be roots of $x^{2}+\sqrt{2}x-8=0$. If $U_{n}=\alpha^{n}+\beta^{n}$, then $\frac{U_{10}+\sqrt{12}\,U_{9}}{2U_{8}}$ is equal to ______.

Accepted Answer

4

Question 29

If the system of equations $2x+7y+\lambda z=3$, $3x+2y+5z=4$, $x+\mu y+32z=-1$ has infinitely many solutions, then $(\lambda-\mu)$ is equal to ______.

Accepted Answer

38

Question 30

If the solution $y(x)$ of the given differential equation $(e^{y}+1)\cos x\,dx+e^{y}\sin x\,dy=0$ passes through the point $\left(\frac{\pi}{2},0\right)$, then the value of $e^{y\left(\frac{\pi}{6}\right)}$ is equal to ______.

Accepted Answer

3

Question 31

The longest wavelength associated with Paschen series is : (Given $R_H = 1.097 	imes 10^7$ SI unit)

Accepted Answer

(D) $1.876 	imes 10^{-6}$ m

Answer

(A) $1.094 	imes 10^{-6}$ m

Answer

(B) $2.973 	imes 10^{-6}$ m

Answer

(C) $3.646 	imes 10^{-6}$ m

Question 32

A total of 48 J heat is given to one mole of helium kept in a cylinder. The temperature of helium increases by $2^\circ$C. The work done by the gas is : (Given, $R = 8.3$ J K$^{-1}$mol$^{-1}$.)

Accepted Answer

(D) 23.1 J

Answer

(A) 72.9 J

Answer

(B) 24.9 J

Answer

(C) 48 J

Question 33

In finding out refractive index of glass slab the following observations were made through travelling microscope 50 vernier scale division = 49 MSD; 20 divisions on main scale in each cm For mark on paper MSR = 8.45 cm, VC = 26 For mark on paper seen through slab MSR = 7.12 cm, VC = 41 For powder particle on the top surface of the glass slab MSR = 4.05 cm, VC = 1 (MSR = Main Scale Reading, VC = Vernier Coincidence) Refractive index of the glass slab is :

Accepted Answer

(A) 1.42

Answer

(B) 1.52

Answer

(C) 1.24

Answer

(D) 1.35

Question 34

In the given electromagnetic wave $E_y = 600 \sin(\omega t - kx)$ Vm$^{-1}$, intensity of the associated light beam is (in W/m$^2$); (Given $\epsilon_0 = 9 	imes 10^{-12}$ C$^2$N$^{-1}$m$^{-2}$)

Accepted Answer

(A) 486

Answer

(B) 243

Answer

(C) 729

Answer

(D) 972

Question 35

Assuming the earth to be a sphere of uniform mass density, a body weighed 300 N on the surface of earth. How much it would weigh at $R/4$ depth under surface of earth ?

Accepted Answer

(D) 225 N

Answer

(A) 75 N

Answer

(B) 375 N

Answer

(C) 300 N

Question 36

The acceptor level of a p-type semiconductor is 6eV. The maximum wavelength of light which can create a hole would be : Given $hc = 1242$ eV nm.

Accepted Answer

(C) 207 nm

Answer

(A) 407 nm

Answer

(B) 414 nm

Answer

(D) 103.5 nm

Question 37

A car of 800 kg is taking turn on a banked road of radius 300 m and angle of banking $30^\circ$. If coefficient of static friction is 0.2 then the maximum speed with which car can negotiate the turn safely : ($g = 10$ m/s$^2$, $\sqrt{3} = 1.73$)

Accepted Answer

(B) 51.4 m/s

Answer

(A) 70.4 m/s

Answer

(C) 264 m/s

Answer

(D) 102.8 m/s

Question 38

Two identical conducting spheres P and S with charge Q on each, repel each other with a force 16N. A third identical uncharged conducting sphere R is successively brought in contact with the two spheres. The new force of repulsion between P and S is :

Accepted Answer

(B) 6 N

Answer

(A) 4 N

Answer

(C) 1 N

Answer

(D) 12 N

Question 39

In a coil, the current changes form $-2$ A to $+2$A in 0.2 s and induces an emf of 0.1 V. The self-inductance of the coil is :

Accepted Answer

(A) 5 mH

Answer

(B) 1 mH

Answer

(C) 2.5 mH

Answer

(D) 4 mH

Question 40

For the thin convex lens, the radii of curvature are at 15 cm and 30 cm respectively. The focal length the lens is 20 cm. The refractive index of the material is :

Accepted Answer

(C) 1.5

Answer

(A) 1.2

Answer

(B) 1.4

Answer

(D) 1.8

Question 41

Energy of 10 non rigid diatomic molecules at temperature T is :

Accepted Answer

(D) $35 K_B T$

Answer

(A) $\frac{7}{2}$ RT

Answer

(B) $70 K_B T$

Answer

(C) 35 RT

Question 42

A body of weight 200 N is suspended form a tree branch thought a chain of mass 10 kg. The branch pulls the chain by a force equal to (if $g = 10$ m/s$^2$):

Accepted Answer

(B) 300 N

Answer

(A) 150 N

Answer

(C) 200 N

Answer

(D) 100 N

Question 43

When UV light of wavelength 300 nm is incident on the metal surface having work function 2.13 eV, electron emission takes place. The stopping potential is : (Given $hc = 1240$ eV nm)

Accepted Answer

(C) 2 V

Answer

(A) 4 V

Answer

(B) 4.1 V

Answer

(D) 1.5 V

Question 44

The number of electrons flowing per second in the filament of a 110 W bulb operating at 220 V is : (Given $e = 1.6 	imes 10^{-19}$ C)

Accepted Answer

(A) $31.25 	imes 10^{17}$

Answer

(B) $6.25 	imes 10^{18}$

Answer

(C) $6.25 	imes 10^{17}$

Answer

(D) $1.25 	imes 10^{19}$

Question 45

When kinetic energy of a body becomes 36 times of its original value, the percentage increase in the momentum of the body will be :

Accepted Answer

(A) 500%

Answer

(B) 600%

Answer

(C) 6%

Answer

(D) 60%

Question 46

Pressure inside a soap bubble is greater than the pressure outside by an amount : (given : $R$ = Radius of bubble, $S$ = Surface tension of bubble)

Accepted Answer

(A) $\frac{4S}{R}$

Answer

(B) $\frac{4R}{S}$

Answer

(C) $\frac{S}{R}$

Answer

(D) $\frac{2S}{R}$

Question 47

Match List-I (a quantity Y plotted against a quantity X in magnetism) with List-II (the shape of the corresponding graph). Choose the correct answer:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 48

Given below are two statements : Statement (I) : Dimensions of specific heat is $[L^{2}T^{-2}K^{-1}]$. Statement (II) : Dimensions of gas constant is $[M L^{2}T^{-1}K^{-1}]$.

Accepted Answer

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

Answer

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

Answer

(B) Both statement (I) and statement (II) are incorrect

Answer

(D) Both statement (I) and statement (II) are correct

Question 49

A body projected vertically upwards with a certain speed from the top of a tower reaches the ground in $t_{1}$. If it is projected vertically downwards from the same point with the same speed, it reaches the ground in $t_{2}$. Time required to reach the ground, if it is dropped from the top of the tower, is :

Accepted Answer

(A) $\sqrt{t_{1}t_{2}}$

Answer

(B) $\sqrt{t_{1}-t_{2}}$

Answer

(C) $\sqrt{\frac{t_{1}}{t_{2}}}$

Answer

(D) $\sqrt{t_{1}+t_{2}}$

Question 50

In Franck-Hertz experiment, the first dip in the current-voltage graph for hydrogen is observed at $10.2$ V. The wavelength of light emitted by hydrogen atom when excited to the first excitation level is ______ nm. (Given $hc = 1245$ eV nm, $e = 1.6 	imes 10^{-19}$ C).

Accepted Answer

122

Question 51

For a given series LCR circuit it is found that maximum current is drawn when value of variable capacitance is $2.5$ nF. If resistance of $200\,\Omega$ and $100$ mH inductor is being used in the given circuit. The frequency of ac source is ______ $	imes 10^{3}$ Hz. (given $\pi^{2} = 10$)

Accepted Answer

10

Question 52

A particle moves in a straight line so that its displacement $x$ at any time $t$ is given by $x^{2}=1+t^{2}$. Its acceleration at any time $t$ is $x^{-n}$ where $n =$ ______ .

Accepted Answer

3

Question 53

Three balls of masses 2kg, 4kg and 6kg respectively are arranged at centre of the edges of an equilateral triangle of side 2 m. The moment of inertia of the system about an axis through the centroid and perpendicular to the plane of triangle, will be ______ kg m$^{2}$.

Accepted Answer

4

Question 54

A coil having 100 turns, area of $5 	imes 10^{-3}$ m$^{2}$, carrying current of 1 mA is placed in uniform magnetic field of $0.20$ T such a way that plane of coil is perpendicular to the magnetic field. The work done in turning the coil through $90^{\circ}$ is ______ $\mu$J.

Accepted Answer

100

Question 55

In the given figure an ammeter A consists of a $240\,\Omega$ coil connected in parallel to a $10\,\Omega$ shunt. The reading of the ammeter is ______ mA.

Accepted Answer

160

Question 56

A wire of cross sectional area A, modulus of elasticity $2 	imes 10^{11}$ Nm$^{-2}$ and length 2 m is stretched between two vertical rigid supports. When a mass of 2 kg is suspended at the middle it sags lower from its original position making angle $	heta = \frac{1}{100}$ radian on the points of support. The value of A is ______ $	imes 10^{-4}$ m$^{2}$ (consider x<<L). (given : $g = 10$ m/s$^{2}$)

Accepted Answer

1

Question 57

Two coherent monochromatic light beams of intensities $I$ and $4I$ are superimposed. The difference between maximum and minimum possible intensities in the resulting beam is $x\,I$. The value of x is ______ .

Accepted Answer

8

Question 58

Two open organ pipes of length 60 cm and 90 cm resonate at $6^{th}$ and $5^{th}$ harmonics respectively. The difference of frequencies for the given modes is ______ Hz. (Velocity of sound in air = 333 m/s)

Accepted Answer

740

Question 59

A capacitor of $10\,\mu$F capacitance whose plates are separated by 10 mm through air and each plate has area 4 cm$^{2}$ is now filled equally with two dielectric media of $K_{1} = 2$, $K_{2} = 3$ respectively as shown in figure. If new force between the plates is 8 N. The supply voltage is ______ V.

Accepted Answer

80

Question 60

Given are four aromatic compounds labelled (I), (II), (III) and (IV) (shown in the figure). The correct arrangement for decreasing order of reactivity towards electrophilic substitution for these compounds is:

Accepted Answer

(B) (III) > (I) > (II) > (IV)

Answer

(A) (IV) > (I) > (II) > (III)

Answer

(C) (II) > (IV) > (III) > (I)

Answer

(D) (III) > (IV) > (II) > (I)

Question 61

Molality (m) of 3 M aqueous solution of NaCl is: (Given : Density of solution = 1.25 g $mL^{-1}$, Molar mass in g $mol^{-1}$ : Na-23, Cl-35.5)

Accepted Answer

(B) 2.79 m

Answer

(A) 2.90 m

Answer

(C) 1.90 m

Answer

(D) 3.85 m

Question 62

The incorrect statements regarding enzymes are: (A) Enzymes are biocatalysts. (B) Enzymes are non-specific and can catalyse different kinds of reactions. (C) Most Enzymes are globular proteins. (D) Enzyme - oxidase catalyses the hydrolysis of maltose into glucose. Choose the correct answer from the option given below:

Accepted Answer

(C) (B) and (D)

Answer

(A) (B) and (C)

Answer

(B) (B), (C) and (D)

Answer

(D) (A), (B) and (C)

Question 63

Consider the reaction shown in the figure. The product 'A' is:

Accepted Answer

(B) (2)

Answer

(A) (1)

Answer

(C) (3)

Answer

(D) (4)

Question 64

During the detection of acidic radical present in a salt, a student gets a pale yellow precipitate soluble with difficulty in $NH_4OH$ solution when sodium carbonate extract was first acidified with dil. $HNO_3$ and then $AgNO_3$ solution was added. This indicates presence of:

Accepted Answer

(A) $Br^-$

Answer

(B) $CO_3^{2-}$

Answer

(C) $I^-$

Answer

(D) $Cl^-$

List-I (Y vs X)	List-II (Shape of Graph)
A.Y = magnetic susceptibility, X = magnetising field	I.see figure
B.Y = magnetic field, X = distance from centre of a current carrying wire for x < a (where a = radius of wire)	II.see figure
C.Y = magnetic field, X = distance from centre of a current carrying wire for x > a (where a = radius of wire)	III.see figure
D.Y = magnetic field inside solenoid, X = distance from center	IV.see figure

List-I (Alkali Metal)	List-II (Emission Wavelength in nm)
A.Li	I.589.2
B.Na	II.455.5
C.Rb	III.670.8
D.Cs	IV.780.0

List-I (Reaction)	List-II (Type of redox reaction)
A. $N_{2(g)} + O_{2(g)} \rightarrow 2NO_{(g)}$	I.Decomposition
B. $2Pb(NO_3)_{2(s)} \rightarrow 2PbO_{(s)} + 4NO_{2(g)} + O_{2(g)}$	II.Displacement
C. $2Na_{(s)} + 2H_2O_{(l)} \rightarrow 2NaOH_{(aq.)} + H_{2(g)}$	III.Disproportionation
D. $2NO_{2(g)} + 2\,^{-}OH_{(aq.)} \rightarrow NO_{2(aq.)}^{-} + NO_{3(aq.)}^{-} + H_2O_{(l)}$	IV.Combination

List-I (Tetrahedral Complex)	List-II (Electronic configuration)
A. $TiCl_4$	I. $e^2, t_2^0$
B. $[FeO_4]^{2-}$	II. $e^4, t_2^3$
C. $[FeCl_4]^{-}$	III. $e^0, t_2^0$
D. $[CoCl_4]^{2-}$	IV. $e^2, t_2^3$

JEE Main 6 April 2024 Shift 2 Question Paper with Answers

Physics — JEE Main 6 April 2024 Shift 2

Chemistry — JEE Main 6 April 2024 Shift 2

Mathematics — JEE Main 6 April 2024 Shift 2

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