JEE Main 9 April 2024 Shift 2 Question Paper

Question 1

$\displaystyle\lim_{x	o 0}\dfrac{e-(1+2x)^{\frac{1}{2x}}}{x}$ is equal to:

Accepted Answer

(A) $e$

Answer

(B) $\dfrac{-2}{e}$

Answer

(C) $0$

Answer

(D) $-e^{2}$

Question 2

Consider the line L passing through the points $(1, 2, 3)$ and $(2, 3, 5)$. The distance of the point $\left(\dfrac{11}{3}, \dfrac{11}{3}, \dfrac{19}{3}\right)$ from the line L along the line $\dfrac{3x-11}{2}=\dfrac{3y-11}{1}=\dfrac{3z-19}{2}$ is equal to:

Accepted Answer

(A) $3$

Answer

(B) $5$

Answer

(C) $4$

Answer

(D) $6$

Question 3

Let $\displaystyle\int_{0}^{x}\sqrt{1-(y'(t))^{2}}\,dt=\int_{0}^{x}y(t)\,dt$, $0\le x\le 3$, $y\ge 0$, $y(0)=0$. Then at $x=2$, $y''+y+1$ is equal to:

Accepted Answer

(A) $1$

Answer

(B) $2$

Answer

(C) $\sqrt{2}$

Answer

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

Question 4

Let z be a complex number such that the real part of $\dfrac{z-2i}{z+2i}$ is zero. Then, the maximum value of $|z-(6+8i)|$ is equal to:

Accepted Answer

(A) $12$

Answer

(B) $\infty$

Answer

(C) $10$

Answer

(D) $8$

Question 5

The area (in square units) of the region enclosed by the ellipse $x^{2}+3y^{2}=18$ in the first quadrant below the line $y=x$ is:

Accepted Answer

(B) $\sqrt{3}\pi$

Answer

(A) $\sqrt{3}\pi+\dfrac{3}{4}$

Answer

(C) $\sqrt{3}\pi-\dfrac{3}{4}$

Answer

(D) $\sqrt{3}\pi+1$

Question 6

Let the foci of a hyperbola H coincide with the foci of the ellipse $E:\dfrac{(x-1)^{2}}{100}+\dfrac{(y-1)^{2}}{75}=1$ and the eccentricity of the hyperbola H be the reciprocal of the eccentricity of the ellipse E. If the length of the transverse axis of H is $\alpha$ and the length of its conjugate axis is $\beta$, then $3\alpha^{2}+2\beta^{2}$ is equal to:

Accepted Answer

(B) $225$

Answer

(A) $242$

Answer

(C) $237$

Answer

(D) $205$

Question 7

Two vertices of a triangle ABC are $A(3, -1)$ and $B(-2, 3)$, and its orthocentre is $P(1, 1)$. If the coordinates of the point C are $(\alpha, \beta)$ and the centre of the circle circumscribing the triangle PAB is $(h, k)$, then the value of $(\alpha+\beta)+2(h+k)$ equals:

Accepted Answer

(C) $5$

Answer

(A) $51$

Answer

(B) $81$

Answer

(D) $15$

Question 8

If the variance of the frequency distribution given by $x$: $c$, $2c$, $3c$, $4c$, $5c$, $6c$ with corresponding frequencies $f$: $2$, $1$, $1$, $1$, $1$, $1$ is 160, then the value of $c\in\mathbb{N}$ is:

Accepted Answer

(C) $7$

Answer

(A) $5$

Answer

(B) $8$

Answer

(D) $6$

Question 9

Let the range of the function $f(x)=\dfrac{1}{2+\sin 3x+\cos 3x}$, $x\in\mathbb{R}$ be $[a, b]$. If $\alpha$ and $\beta$ are respectively the A.M. and the G.M. of $a$ and $b$, then $\dfrac{\alpha}{\beta}$ is equal to:

Accepted Answer

(A) $\sqrt{2}$

Answer

(B) $2$

Answer

(C) $\sqrt{\pi}$

Answer

(D) $\pi$

Question 10

Between the following two statements:
Statement-I: Let $\vec{a}=\hat{i}+2\hat{j}-3\hat{k}$ and $\vec{b}=2\hat{i}+\hat{j}-\hat{k}$. Then the vector $\vec{r}$ satisfying $\vec{a}	imes\vec{r}=\vec{a}	imes\vec{b}$ and $\vec{a}\cdot\vec{r}=0$ is of magnitude $\sqrt{10}$.
Statement-II: In a triangle ABC, $\cos 2A+\cos 2B+\cos 2C\ge -\dfrac{3}{2}$.
In the light of the above statements, choose the correct answer:

Accepted Answer

(B) Statement-I is incorrect but Statement-II is correct

Answer

(A) Both Statement-I and Statement-II are incorrect

Answer

(C) Both Statement-I and Statement-II are correct

Answer

(D) Statement-I is correct but Statement-II is incorrect

Question 11

$\displaystyle\lim_{x	o\frac{\pi}{2}}\dfrac{\int_{x^{3}}^{(\pi/2)^{3}}\left(\sin\left(2t^{1/3}ight)+\cos\left(t^{1/3}ight)ight)dt}{\left(x-\dfrac{\pi}{2}ight)^{2}}$ is equal to:

Accepted Answer

(A) $\dfrac{9\pi^{2}}{8}$

Answer

(B) $\dfrac{11\pi^{2}}{10}$

Answer

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

Answer

(D) $\dfrac{4\pi^{2}}{9}$

Question 12

The sum of the coefficient of $x^{2/3}$ and $x^{-2/5}$ in the binomial expansion of $\left(x^{2/3}+\dfrac{1}{2}x^{-2/5}\right)^{9}$ is:

Accepted Answer

(A) $\dfrac{21}{4}$

Answer

(B) $\dfrac{69}{16}$

Answer

(C) $\dfrac{63}{16}$

Answer

(D) $\dfrac{19}{4}$

Question 13

Let $B=\begin{bmatrix}1&3\1&5\end{bmatrix}$ and A be a $2	imes 2$ matrix such that $AB^{-1}=A^{-1}$. If $BCB^{-1}=A$ and $C^{4}+\alpha C^{2}+\beta I=O$, then $2\beta-\alpha$ is equal to:

Accepted Answer

(D) $10$

Answer

(A) $16$

Answer

(B) $2$

Answer

(C) $8$

Question 14

If $\log_{e}y=3\sin^{-1}x$, then $(1-x^{2})y''-xy'$ at $x=\dfrac{1}{2}$ is equal to:

Accepted Answer

(D) $9e^{\pi/2}$

Answer

(A) $9e^{5\pi/6}$

Answer

(B) $3e^{5\pi/6}$

Answer

(C) $3e^{\pi/2}$

Question 15

The integral $\displaystyle\int_{1/4}^{3/4}\cos\left(2\cot^{-1}\sqrt{\dfrac{1-x}{1+x}}\right)dx$ is equal to:

Accepted Answer

(D) $-\dfrac{1}{4}$

Answer

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

Answer

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

Answer

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

Question 16

Let $a$, $ar$, $ar^{2}$, ... be an infinite G.P. If $\displaystyle\sum_{n=0}^{\infty}ar^{n}=57$ and $\displaystyle\sum_{n=0}^{\infty}a^{3}r^{3n}=9747$, then $a+18r$ is equal to:

Accepted Answer

(D) $31$

Answer

(A) $27$

Answer

(B) $46$

Answer

(C) $38$

Question 17

If an unbiased dice is rolled thrice, then the probability of getting a greater number in the $i^{th}$ roll than the number obtained in the $(i-1)^{th}$ roll, $i=2, 3$, is equal to:

Accepted Answer

(C) $\dfrac{5}{54}$

Answer

(A) $\dfrac{3}{54}$

Answer

(B) $\dfrac{2}{54}$

Answer

(D) $\dfrac{1}{54}$

Question 18

The value of the integral $\displaystyle\int_{-1}^{2}\log_{e}\left(x+\sqrt{x^{2}+1}\right)dx$ is:

Accepted Answer

(B) $\sqrt{2}-\sqrt{5}+\log_{e}\left(\dfrac{9+4\sqrt{5}}{1+\sqrt{2}}\right)$

Answer

(A) $\sqrt{5}-\sqrt{2}+\log_{e}\left(\dfrac{9+4\sqrt{5}}{1+\sqrt{2}}\right)$

Answer

(C) $\sqrt{5}-\sqrt{2}+\log_{e}\left(\dfrac{7+4\sqrt{5}}{1+\sqrt{2}}\right)$

Answer

(D) $\sqrt{2}-\sqrt{5}+\log_{e}\left(\dfrac{7+4\sqrt{5}}{1+\sqrt{2}}\right)$

Question 19

Let $\alpha, \beta$ ($\alpha>\beta$) be the roots of the equation $x^{2}-\sqrt{2}x-\sqrt{3}=0$. Let $P_{n}=\alpha^{n}-\beta^{n}$, $n\in\mathbb{N}$. Then $\left(11\sqrt{3}-10\sqrt{2}\right)P_{10}+\left(11\sqrt{2}+10\right)P_{11}-11P_{12}$ is equal to:

Accepted Answer

(B) $10\sqrt{3}\,P_{9}$

Answer

(A) $10\sqrt{2}\,P_{9}$

Answer

(C) $11\sqrt{2}\,P_{9}$

Answer

(D) $11\sqrt{3}\,P_{9}$

Question 20

Let $\vec{a}=2\hat{i}+\alpha\hat{j}+\hat{k}$, $\vec{b}=-\hat{i}+\hat{k}$, $\vec{c}=\beta\hat{j}-\hat{k}$, where $\alpha$ and $\beta$ are integers and $\alpha\beta=-6$. Let the values of the ordered pair $(\alpha, \beta)$ for which the area of the parallelogram with diagonals $\vec{a}+\vec{b}$ and $\vec{b}+\vec{c}$ is $\dfrac{\sqrt{21}}{2}$, be $(\alpha_{1}, \beta_{1})$ and $(\alpha_{2}, \beta_{2})$. Then $\alpha_{1}^{2}+\beta_{1}^{2}-\alpha_{2}\beta_{2}$ is equal to:

Accepted Answer

(D) $19$

Answer

(A) $17$

Answer

(B) $24$

Answer

(C) $21$

Question 21

Consider the circle $C:x^{2}+y^{2}=4$ and the parabola $P:y^{2}=8x$. If the set of all values of $\alpha$, for which three chords of the circle C on three distinct lines passing through the point $(\alpha, 0)$ are bisected by the parabola P is the interval $(p, q)$, then $(2q-p)^{2}$ is equal to _______.

Accepted Answer

80

Question 22

Let the set of all values of $p$, for which $f(x)=(p^{2}-6p+8)\left(\sin^{2}2x-\cos^{2}2x\right)+2(2-p)x+\cos^{2}1$ does not have any critical point, be the interval $(a, b)$. Then $16ab$ is equal to _______.

Accepted Answer

252

Question 23

For a differentiable function $f:\mathbb{R}	o\mathbb{R}$, $f'(x)=3f(x)+\alpha$, where $\alpha\in\mathbb{R}$, $f(0)=1$ and $\displaystyle\lim_{x	o-\infty}f(x)=7$. Then $9f(-\log_{e}3)$ is equal to _______.

Accepted Answer

61

Question 24

The number of integers, between 100 and 1000 having the sum of their digits equal to 14, is _______.

Accepted Answer

70

Question 25

Let $A=\{(x, y):2x+3y=23,\ x, y\in\mathbb{N}\}$ and $B=\{x:(x, y)\in A\}$. Then the number of one-one functions from A to B is equal to _______.

Accepted Answer

24

Question 26

Let A, B and C be three points on the parabola $y^{2}=6x$ and let the line segment AB meet the line L through C parallel to the x-axis at the point D. Let M and N respectively be the feet of the perpendiculars from A and B on L. Then $\left(\dfrac{AM\cdot BN}{CD}\right)^{2}$ is equal to _______.

Accepted Answer

36

Question 27

The square of the distance of the image of the point $(6, 1, 5)$ in the line $\dfrac{x-1}{3}=\dfrac{y}{2}=\dfrac{z-2}{4}$, from the origin is _______.

Accepted Answer

62

Question 28

If $\left(\dfrac{1}{\alpha+1}+\dfrac{1}{\alpha+2}+\cdots+\dfrac{1}{\alpha+1012}\right)-\left(\dfrac{1}{2\cdot 1}+\dfrac{1}{4\cdot 3}+\dfrac{1}{6\cdot 5}+\cdots+\dfrac{1}{2024\cdot 2023}\right)=\dfrac{1}{2024}$, then $\alpha$ is equal to _______.

Accepted Answer

1011

Question 29

Let the inverse trigonometric functions take principal values. The number of real solutions of the equation $2\sin^{-1}x+3\cos^{-1}x=\dfrac{2\pi}{5}$, is _______.

Accepted Answer

0

Question 30

Consider the matrices $A=\begin{bmatrix}2&-5\3&m\end{bmatrix}$, $B=\begin{bmatrix}20\m\end{bmatrix}$ and $X=\begin{bmatrix}x\y\end{bmatrix}$. Let the set of all $m$, for which the system of equations $AX=B$ has a negative solution (i.e., $x<0$ and $y<0$), be the interval $(a, b)$. Then $8\displaystyle\int_{a}^{b}|A|\,dm$ is equal to _______.

Accepted Answer

450

Question 31

A nucleus at rest disintegrates into two smaller nuclei with their masses in the ratio of 2:1. After disintegration they will move:

Accepted Answer

(A) In opposite directions with speed in the ratio of 1:2 respectively

Answer

(B) In opposite directions with speed in the ratio of 2:1 respectively

Answer

(C) In the same direction with same speed

Answer

(D) In opposite directions with speed in the ratio of 3:2 respectively

Question 32

The figure represents two biconvex lenses $L_{1}$ and $L_{2}$ having focal lengths 10 cm and 15 cm respectively. The distance between $L_{1}$ and $L_{2}$ is:

Accepted Answer

(C) 5 cm

Answer

(A) 10 cm

Answer

(B) 15 cm

Answer

(D) 35 cm

Question 33

The temperature of a gas is $-78\,^{\circ}$C and the average translational kinetic energy of its molecules is K. The temperature at which the average translational kinetic energy of the molecules of the same gas becomes 2K is:

Accepted Answer

(B) $117\,^{\circ}$C

Answer

(A) $-39\,^{\circ}$C

Answer

(C) $127\,^{\circ}$C

Answer

(D) $-78\,^{\circ}$C

Question 34

A hydrogen atom in ground state is given an energy of 10.2 eV. How many spectral lines will be emitted due to transition of electrons?

Accepted Answer

(D) 1

Answer

(A) 6

Answer

(B) 3

Answer

(C) 10

Question 35

The magnetic field in a plane electromagnetic wave is $B_{y}=(3.5	imes10^{-7})\sin(1.5	imes10^{3}x+0.5	imes10^{11}t)$ T. The corresponding electric field will be:

Accepted Answer

(B) $E_{z}=105\sin(1.5	imes10^{3}x+0.5	imes10^{11}t)$ V m$^{-1}$

Answer

(A) $E_{z}=1.17\sin(1.5	imes10^{3}x+0.5	imes10^{11}t)$ V m$^{-1}$

Answer

(C) $E_{z}=1.17\sin(1.5	imes10^{3}x+0.5	imes10^{11}t)$ nV m$^{-1}$

Answer

(D) $E_{z}=10.5\sin(1.5	imes10^{3}x+0.5	imes10^{11}t)$ nV m$^{-1}$

Question 36

A square loop of side 15 cm is being moved towards right at a constant speed of 2 cm/s as shown in the figure. The front edge enters the 50 cm wide magnetic field at $t=0$. The value of induced emf in the loop at $t=10$ s will be:

Accepted Answer

(C) 0 mV

Answer

(A) 0.3 mV

Answer

(B) 4.5 mV

Answer

(D) 3 mV

Question 37

Two cars are travelling towards each other at speed of 20 m s$^{-1}$ each. When the cars are 300 m apart, both the drivers apply brakes and the cars retard at the rate of 2 m s$^{-2}$. The distance between them when they come to rest is:

Accepted Answer

(C) 100 m

Answer

(A) 200 m

Answer

(B) 50 m

Answer

(D) 25 m

Question 38

The $I$-$V$ characteristics of an electronic device is shown in the figure. The device is:

Accepted Answer

(C) a zener diode which can be used as a voltage regulator

Answer

(A) a solar cell

Answer

(B) a transistor which can be used as an amplifier

Answer

(D) a diode which can be used as a rectifier

Question 39

The excess pressure inside a soap bubble is thrice the excess pressure inside a second soap bubble. The ratio between the volume of the first and the second bubble is:

Accepted Answer

(D) 1:27

Answer

(A) 1:9

Answer

(B) 1:3

Answer

(C) 1:81

Question 40

The de-Broglie wavelength associated with a particle of mass $m$ and energy $E$ is $h/\sqrt{2mE}$. The dimensional formula for Planck's constant is:

Accepted Answer

(B) $[ML^{2}T^{-1}]$

Answer

(A) $[ML^{-1}T^{-1}]$

Answer

(C) $[MLT^{-1}]$

Answer

(D) $[M^{4}L^{2}T^{-3}]$

Question 41

A satellite of $10^{3}$ kg mass is revolving in a circular orbit of radius $2R$. If $\dfrac{10^{4}R}{6}$ J energy is supplied to the satellite, it would revolve in a new circular orbit of radius: (use $g=10$ m/s$^{2}$, $R=$ radius of earth)

Accepted Answer

(D) 6 R

Answer

(A) 2.5 R

Answer

(B) 3 R

Answer

(C) 4 R

Question 42

The effective resistance between $A$ and $B$, if resistance of each resistor is $R$, will be:

Accepted Answer

(B) $\dfrac{8R}{3}$

Answer

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

Answer

(C) $\dfrac{5R}{3}$

Answer

(D) $\dfrac{4R}{3}$

Question 43

Five charges $+q$, $+5q$, $-2q$, $+3q$ and $-4q$ are situated as shown in the figure. The electric flux due to this configuration through the surface S is:

Accepted Answer

(B) $\dfrac{4q}{\varepsilon_{0}}$

Answer

(A) $\dfrac{5q}{\varepsilon_{0}}$

Answer

(C) $\dfrac{3q}{\varepsilon_{0}}$

Answer

(D) $\dfrac{q}{\varepsilon_{0}}$

Question 44

A proton and a deuteron ($q=+e$, $m=2.0$ u) having same kinetic energies enter a region of uniform magnetic field $\vec{B}$, moving perpendicular to $\vec{B}$. The ratio of the radius $r_{d}$ of the deuteron path to the radius $r_{p}$ of the proton path is:

Accepted Answer

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

Answer

(A) 1:1

Answer

(B) $1:\sqrt{2}$

Answer

(D) 1:2

Question 45

UV light of 4.13 eV is incident on a photosensitive metal surface having work function 3.13 eV. The maximum kinetic energy of ejected photoelectrons will be:

Accepted Answer

(B) 1 eV

Answer

(A) 1.13 eV

Answer

(C) 3.13 eV

Answer

(D) 7.26 eV

Question 46

The energy released in the fusion of 2 kg of hydrogen deep in the sun is $E_{H}$ and the energy released in the fission of 2 kg of $^{235}$U is $E_{U}$. The ratio $\dfrac{E_{H}}{E_{U}}$ is approximately: (Consider the fusion reaction as $4\,^{1}_{1}H+2e^{-}ightarrow\,^{4}_{2}He+2
u+6\gamma+26.7$ MeV; energy released in the fission reaction of $^{235}$U is 200 MeV per fission and $N_{A}=6.023	imes10^{23}$)

Accepted Answer

(C) 7.62

Answer

(A) 9.13

Answer

(B) 5.04

Answer

(D) 25.6

Question 47

A real gas within a closed chamber at $27\,^{\circ}$C undergoes the cyclic process as shown in the figure. The gas obeys $PV^{3}=RT$ equation for the path A to B. The net work done in the complete cycle is (assuming $R=8$ J/mol K):

Accepted Answer

(B) 205 J

Answer

(A) 225 J

Answer

(C) 20 J

Answer

(D) $-20$ J

Question 48

A 1 kg mass is suspended from the ceiling by a rope of length 4 m. A horizontal force $F$ is applied at the mid point of the rope so that the rope makes an angle of $45^{\circ}$ with respect to the vertical axis as shown in the figure. The magnitude of $F$ is: (use $g=10$ m/s$^{2}$)

Accepted Answer

(D) 10 N

Answer

(A) $\dfrac{10}{\sqrt{2}}$ N

Answer

(B) 1 N

Answer

(C) $\dfrac{1}{10\sqrt{2}}$ N

Question 49

A spherical ball of radius $1	imes10^{-4}$ m and density $10^{5}$ kg/m$^{3}$ falls freely under gravity through a distance $h$ before entering a tank of water. If after entering in water the velocity of the ball does not change, then the value of $h$ is approximately: (The coefficient of viscosity of water is $9.8	imes10^{-6}$ N s/m$^{2}$, $g=9.8$ m/s$^{2}$)

Accepted Answer

(C) 2518 m

Answer

(A) 2296 m

Answer

(B) 2249 m

Answer

(D) 2396 m

Question 50

In the truth table of the logic circuit shown in the figure, the values of X and Y are:

Accepted Answer

(B) 1, 0

Answer

(A) 1, 1

Answer

(C) 0, 1

Answer

(D) 0, 0

Question 51

A straight magnetic strip has a magnetic moment of 44 A m$^{2}$. If the strip is bent in a semicircular shape, its magnetic moment will be _______ A m$^{2}$. (Given $\pi=\dfrac{22}{7}$)

Accepted Answer

28

Question 52

A particle of mass 0.50 kg executes simple harmonic motion under force $F=-50\,(	ext{N/m})\,x$. The time period of oscillation is $\dfrac{x}{35}$ s. The value of x is _______. (Given $\pi=\dfrac{22}{7}$)

Accepted Answer

22

Question 53

A capacitor of reactance $4\sqrt{3}\,\Omega$ and a resistor of resistance $4\,\Omega$ are connected in series with an ac source of peak value $8\sqrt{2}$ V. The power dissipation in the circuit is _______ W.

Accepted Answer

4

Question 54

An electric field $\vec{E}=(2x\hat{i})$ N/C exists in space. A cube of side 2 m is placed in the space with its edges parallel to the coordinate axes and one corner at the origin. The electric flux through the cube is _______ N m$^{2}$/C.

Accepted Answer

16

Question 55

A circular disc reaches from top to bottom of an inclined plane of length $l$. When it slips down the plane, it takes time $t_{1}$. When it rolls down the plane then it takes $\left(\dfrac{\alpha}{2}\right)^{1/2}t_{1}$ s, where $\alpha$ is _______.

Accepted Answer

3

Question 56

To determine the resistance ($R$) of a wire, a circuit is designed as shown in the figure. The V-I characteristic curve for this circuit is plotted for the voltmeter and the ammeter readings as shown. The value of $R$ is _______ $\Omega$.

Accepted Answer

2500

Question 57

The resultant of two vectors $\vec{A}$ and $\vec{B}$ is perpendicular to $\vec{A}$ and its magnitude is half of that of $\vec{B}$. The angle between vectors $\vec{A}$ and $\vec{B}$ is _______ degrees.

Accepted Answer

150

Question 58

Monochromatic light of wavelength 500 nm is used in Young's double slit experiment. An interference pattern is obtained on a screen. When one of the slits is covered with a very thin glass plate (refractive index = 1.5), the central maximum is shifted to a position previously occupied by the $4^{th}$ bright fringe. The thickness of the glass plate is _______ $\mu$m.

Accepted Answer

4

Question 59

A force $(3x^{2}+2x-5)$ N displaces a body from $x=2$ m to $x=4$ m. Work done by this force is _______ J.

Accepted Answer

58

Question 60

At room temperature ($27\,^{\circ}$C), the resistance of a heating element is $50\,\Omega$. The temperature coefficient of the material is $2.4	imes10^{-4}\ ^{\circ}$C$^{-1}$. The temperature of the element, when its resistance is $62\,\Omega$, is _______ $^{\circ}$C.

Accepted Answer

1027

Question 61

The candela is the luminous intensity, in a given direction, of a source that emits monochromatic radiation of frequency 'A' $	imes10^{12}$ hertz and that has a radiant intensity in that direction of $\dfrac{1}{'B'}$ watt per steradian. 'A' and 'B' are respectively:

Accepted Answer

(B) 540 and 683

Answer

(A) 540 and $\dfrac{1}{683}$

Answer

(C) 450 and $\dfrac{1}{683}$

Answer

(D) 450 and 683

Question 62

The correct stability order of the following resonance structures of $CH_3-CH=CH-CHO$ (labelled I, II and III in the figure) is:

Accepted Answer

(B) III > II > I

Answer

(A) II > III > I

Answer

(C) I > II > III

Answer

(D) II > I > III

Question 63

Total number of stereoisomers possible for the structure shown in the figure is:

Accepted Answer

(A) 8

Answer

(B) 2

Answer

(C) 4

Answer

(D) 3

Question 64

The correct increasing order for bond angles among $BF_3$, $PF_3$ and $ClF_3$ is:

Accepted Answer

(C) $ClF_3 < PF_3 < BF_3$

Answer

(A) $PF_3 < ClF_3 < BF_3$

Answer

(B) $BF_3 < PF_3 < ClF_3$

Answer

(D) $BF_3 = PF_3 = ClF_3$

List-I (Test)	List-II (Observation)
A. $Br_2$ water test	I.Yellow orange or orange red precipitate formed
B.Ceric ammonium nitrate test	II.Reddish orange colour disappears
C.Ferric chloride test	III.Red colour appears
D.2,4-DNP test	IV.Blue, Green, Violet or Red colour appear

List-I (Cell)	List-II (Use / Property / Reaction)
A.Leclanche cell	I.Converts energy of combustion into electrical energy
B.Ni-Cd cell	II.Does not involve any ion in solution and is used in hearing aids
C.Fuel cell	III.Rechargeable
D.Mercury cell	IV.Reaction at anode $Zn \rightarrow Zn^{2+} + 2e^{-}$

List-I (Complex)	List-II (Hybridisation)
A. $K_2[Ni(CN)_4]$	I. $sp^3$
B. $[Ni(CO)_4]$	II. $sp^3d^2$
C. $[Co(NH_3)_6]Cl_3$	III. $dsp^2$
D. $Na_3[CoF_6]$	IV. $d^2sp^3$

List-I (Element)	List-II (Electronic Configuration)
A.N	I. $[Ar]3d^{10}4s^24p^5$
B.S	II. $[Ne]3s^23p^4$
C.Br	III. $[He]2s^22p^3$
D.Kr	IV. $[Ar]3d^{10}4s^24p^6$

List-I (Property)	List-II (Order)
A.Melting point [K]	I.Tl > In > Ga > Al > B
B.Ionic Radius [ $M^{3+}$ /pm]	II.B > Tl > Al > Ga > In
C. $\Delta_i H_1$ [kJ mol $^{-1}$ ]	III.Tl > In > Al > Ga > B
D.Atomic Radius [pm]	IV.B > Al > Tl > In > Ga

JEE Main 9 April 2024 Shift 2 Question Paper with Answers

Physics — JEE Main 9 April 2024 Shift 2

Chemistry — JEE Main 9 April 2024 Shift 2

Mathematics — JEE Main 9 April 2024 Shift 2

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