JEE Main 11 April 2023 Shift 1 Question Paper

Question 1

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

Accepted Answer

(D) $\log_e \left( \frac{\sqrt{2}(2 + \sqrt{5})^2}{\sqrt{1 + \sqrt{5}}} \right) - \frac{\sqrt{5}}{2}$

Answer

(A) $\log_e \left( \frac{2(2 + \sqrt{5})}{\sqrt{1 + \sqrt{5}}} \right) - \frac{\sqrt{5}}{2}$

Answer

(B) $\log_e \left( \frac{\sqrt{2}(3 - \sqrt{5})^2}{\sqrt{1 + \sqrt{5}}} \right) + \frac{\sqrt{5}}{2}$

Answer

(C) $\log_e \left( \frac{(2 + \sqrt{5})^2}{\sqrt{1 + \sqrt{5}}} \right) + \frac{\sqrt{5}}{2}$

Question 2

If equation of the plane that contains the point $(-2, 3, 5)$ and is perpendicular to each of the planes $2x + 4y + 5z = 8$ and $3x - 2y + 3z = 5$ is $\alpha x + \beta y + \gamma z + 97 = 0$ then $\alpha + \beta + \gamma =$

Accepted Answer

(D) 15

Answer

(A) 18

Answer

(B) 17

Answer

(C) 16

Question 3

Let R be a rectangle given by the lines $x = 0$, $x = 2$, $y = 0$ and $y = 5$. Let $A(\alpha, 0)$ and $B(0, \beta)$, $\alpha \in [0, 2]$ and $\beta \in [0, 5]$, be such that the line segment AB divides the area of the rectangle R in the ratio $4:1$. Then, the mid-point of AB lies on a

Accepted Answer

(B) hyberbola

Answer

(A) parabola

Answer

(C) straight line

Answer

(D) circle

Question 4

Let sets A and B have 5 elements each. Let the mean of the elements in sets A and B be 5 and 8 respectively and the variance of the elements in sets A and B be 12 and 20 respectively. A new set C of 10 elements is formed by subtracting 3 from each element of A and adding 2 to each element of B. Then the sum of the mean and variance of the elements of C is _______.

Accepted Answer

(B) 38

Answer

(A) 32

Answer

(C) 40

Answer

(D) 36

Question 5

Let $f(x) = x^2 - x + |-x + [x]|$, where $x \in \mathbb{R}$ and $[t]$ denotes the greatest integer less than or equal to $t$. Then, $f$ is

Accepted Answer

(D) continuous at $x = 1$, but not continuous at $x = 0$

Answer

(A) continuous at $x = 0$, but not continuous at $x = 1$

Answer

(B) continuous at $x = 0$ and $x = 1$

Answer

(C) not continuous at $x = 0$ and $x = 1$

Question 6

The number of triplets $(x, y, z)$, where $x, y, z$ are distinct non negative integers satisfying $x + y + z = 15$, is

Accepted Answer

(B) 114

Answer

(A) 80

Answer

(C) 92

Answer

(D) 136

Question 7

For any vector $\vec{a} = a_1 \hat{i} + a_2 \hat{j} + a_3 \hat{k}$, with $|a_i| < 1$, $i = 1, 2, 3$, consider the following statements:
(A): $\max \{ |a_1|, |a_2|, |a_3| \} \le |\vec{a}|$
(B): $|\vec{a}| \le 3 \max \{ |a_1|, |a_2|, |a_3| \}$

Accepted Answer

(D) Both (A) and (B) are true

Answer

(A) Only (B) is true

Answer

(B) Only (A) is true

Answer

(C) Neither (A) nor (B) is true

Question 8

Let $w_1$ be the point obtained by the rotation of $z_1 = 5 + 4i$ about the origin through a right angle in the anticlockwise direction, and $w_2$ be the point obtained by the rotation of $z_2 = 3 + 5i$ about the origin through a right angle in the clockwise direction. Then the principal argument of $w_1 - w_2$ is equal to

Accepted Answer

(D) $\pi - 	an^{-1} \frac{8}{9}$

Answer

(A) $-\pi + 	an^{-1} \frac{33}{5}$

Answer

(B) $-\pi - 	an^{-1} \frac{33}{5}$

Answer

(C) $-\pi + 	an^{-1} \frac{8}{9}$

Question 9

An organization awarded 48 medals in event 'A', 25 in event 'B' and 18 in event 'C'. If these medals went to total 60 men and only five men got medals in all the three events, then, how many received medals in exactly two of three events?

Accepted Answer

(C) 21

Answer

(A) 10

Answer

(B) 9

Answer

(D) 15

Question 10

Let $S = \{ M = [a_{ij}],\ a_{ij} \in \{0, 1, 2\},\ 1 \le i, j \le 2 \}$ be a sample space and $A = \{ M \in S : M 	ext{ is invertible} \}$ be an event. Then $P(A)$ is equal to

Accepted Answer

(A) $\frac{50}{81}$

Answer

(B) $\frac{47}{81}$

Answer

(C) $\frac{49}{81}$

Answer

(D) $\frac{16}{27}$

Question 11

Consider ellipses $E_k : kx^2 + k^2 y^2 = 1$, $k = 1, 2, \ldots, 20$. Let $C_k$ be the circle which touches the four chords joining the end points (one on minor axis and another on major axis) of the ellipse $E_k$. If $r_k$ is the radius of the circle $C_k$, then the value of $\sum_{k=1}^{20} \frac{1}{r_k^2}$ is

Accepted Answer

(A) 3080

Answer

(B) 3210

Answer

(C) 3320

Answer

(D) 2870

Question 12

The number of integral solutions $x$ of $\log_{\left( x + \frac{7}{2} \right)} \left( \frac{x - 7}{2x - 3} \right)^2 \ge 0$ is

Accepted Answer

(A) 6

Answer

(B) 8

Answer

(C) 5

Answer

(D) 7

Question 13

Area of the region $\{ (x, y) : x^2 + (y - 2)^2 \le 4,\ x^2 \ge 2y \}$ is

Accepted Answer

(A) $2\pi - \frac{16}{3}$

Answer

(B) $\pi - \frac{8}{3}$

Answer

(C) $\pi + \frac{8}{3}$

Answer

(D) $2\pi + \frac{16}{3}$

Question 14

Let $f : [2, 4] 	o \mathbb{R}$ be a differentiable function such that $(x \log_e x) f'(x) + (\log_e x) f(x) + f(x) \ge 1$, $x \in [2, 4]$ with $f(2) = \frac{1}{2}$ and $f(4) = \frac{1}{4}$. Consider the following two statements:
(A): $f(x) \le 1$, for all $x \in [2, 4]$
(B): $f(x) \ge \frac{1}{8}$, for all $x \in [2, 4]$
Then,

Accepted Answer

(C) Both the statement (A) and (B) are true

Answer

(A) Only statement (B) is true

Answer

(B) Neither statement (A) nor statement (B) is true

Answer

(D) Only statement (A) is true

Question 15

Let $y = y(x)$ be a solution curve of the differential equation, $(1 - x^2 y^2) dx = y\, dx + x\, dy$. If the line $x = 1$ intersects the curve $y = y(x)$ at $y = 2$ and the line $x = 2$ intersects the curve $y = y(x)$ at $y = \alpha$, then a value of $\alpha$ is

Accepted Answer

(D) $\frac{1 + 3e^2}{2(3e^2 - 1)}$

Answer

(A) $\frac{3e^2}{2(3e^2 - 1)}$

Answer

(B) $\frac{3e^2}{2(3e^2 + 1)}$

Answer

(C) $\frac{1 - 3e^2}{2(3e^2 + 1)}$

Question 16

Let $A$ be a $2 	imes 2$ matrix with real entries such that $A' = \alpha A + I$, where $\alpha \in \mathbb{R} - \{-1, 1\}$. If $\det(A^2 - A) = 4$, then the sum of all possible values of $\alpha$ is equal to

Accepted Answer

(C) $\frac{5}{2}$

Answer

(A) $0$

Answer

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

Answer

(D) $2$

Question 17

Let $(\alpha, \beta, \gamma)$ be the image of the point $P(2, 3, 5)$ in the plane $2x + y - 3z = 6$. Then $\alpha + \beta + \gamma$ is equal to

Accepted Answer

(A) $10$

Answer

(B) $5$

Answer

(C) $12$

Answer

(D) $9$

Question 18

Let $\vec{a}$ be a non-zero vector parallel to the line of intersection of the two planes described by $\hat{i} + \hat{j}, \hat{i} + \hat{k}$ and $\hat{i} - \hat{j}, \hat{j} - \hat{k}$. If $	heta$ is the angle between the vector $\vec{a}$ and the vector $\vec{b} = 2\hat{i} - 2\hat{j} + \hat{k}$ and $\vec{a} \cdot \vec{b} = 6$, then the ordered pair $\left(	heta, |\vec{a} 	imes \vec{b}|ight)$ is equal to

Accepted Answer

(D) $\left(\frac{\pi}{4}, 6\right)$

Answer

(A) $\left(\frac{\pi}{4}, 3\sqrt{6}\right)$

Answer

(B) $\left(\frac{\pi}{3}, 3\sqrt{6}\right)$

Answer

(C) $\left(\frac{\pi}{3}, 6\right)$

Question 19

The number of elements in the set $S = \{	heta \in [0, 2\pi] : 3\cos^4	heta - 5\cos^2	heta - 2\sin^2	heta + 2 = 0\}$ is

Accepted Answer

(C) $9$

Answer

(A) $10$

Answer

(B) $8$

Answer

(D) $12$

Question 20

Let $x_1, x_2, \ldots, x_{100}$ be in an arithmetic progression, with $x_1 = 2$ and their mean equal to $200$. If $y_i = i(x_i - i)$, $1 \le i \le 100$, then the mean of $y_1, y_2, \ldots, y_{100}$ is

Accepted Answer

(C) $10049.50$

Answer

(A) $10101.50$

Answer

(B) $10051.50$

Answer

(D) $10100$

Question 21

The mean of the coefficients of $x, x^2, \ldots, x^7$ in the binomial expansion of $(2 + x)^9$ is _______ .

Accepted Answer

2736

Question 22

Let $S = 109 + \frac{108}{5} + \frac{107}{5^2} + \ldots + \frac{2}{5^{107}} + \frac{1}{5^{108}}$. Then the value of $(16S - (25)^{-54})$ is equal to _______ .

Accepted Answer

2175

Question 23

For $m, n > 0$, let $\alpha(m, n) = \int_0^2 t^m (1 + 3t)^n \, dt$. If $11\alpha(10, 6) + 18\alpha(11, 5) = p(14)^6$, then $p$ is equal to _______ .

Accepted Answer

32

Question 24

In an examination, 5 students have been allotted their seats as per their roll numbers. The number of ways, in which none of the students sits on the allotted seat, is _______ .

Accepted Answer

44

Question 25

Let a line $l$ pass through the origin and be perpendicular to the lines $l_1 : \vec{r} = (\hat{i} - 11\hat{j} - 7\hat{k}) + \lambda(\hat{i} + 2\hat{j} + 3\hat{k}), \lambda \in \mathbb{R}$ and $l_2 : \vec{r} = (-\hat{i} + \hat{k}) + \mu(2\hat{i} + 2\hat{j} + \hat{k}), \mu \in \mathbb{R}$. If $P$ is the point of intersection of $l$ and $l_1$, and $Q(\alpha, \beta, \gamma)$ is the foot of perpendicular from $P$ on $l_2$, then $9(\alpha + \beta + \gamma)$ is equal to _______ .

Accepted Answer

5

Question 26

The number of integral terms in the expansion of $\left(3^{\frac{1}{2}} + 5^{\frac{1}{4}}\right)^{680}$ is equal to _______ .

Accepted Answer

171

Question 27

The number of ordered triplets of the truth values of $p, q$ and $r$ such that the truth value of the statement $(p \vee q) \wedge (p \vee r) \Rightarrow (q \vee r)$ is True, is equal to _______ .

Accepted Answer

7

Question 28

Let $H_n = \frac{x^2}{1 + n} - \frac{y^2}{3 + n} = 1$, $n \in \mathbb{N}$. Let $k$ be the smallest even value of $n$ such that the eccentricity of $H_k$ is a rational number. If $l$ is length of the latus rectum of $H_k$, then $21l$ is equal to _______ .

Accepted Answer

306

Question 29

If $a$ and $b$ are the roots of equation $x^2 - 7x - 1 = 0$, then the value of $\frac{a^{21} + b^{21} + a^{17} + b^{17}}{a^{19} + b^{19}}$ is equal to _______ .

Accepted Answer

51

Question 30

Let $A = \begin{bmatrix} 0 & 1 & 2 \ a & 0 & 3 \ 1 & c & 0 \end{bmatrix}$, where $a, c \in \mathbb{R}$. If $A^3 = A$ and the positive value of $a$ belongs to the interval $(n - 1, n]$, where $n \in \mathbb{N}$, then $n$ is equal to _______ .

Accepted Answer

2

Question 31

The electric field in an electromagnetic wave is given as $\vec{E} = 20 \sin \omega \left( t - \dfrac{x}{c} ight) \hat{j} \, 	ext{NC}^{-1}$. Where $\omega$ and $c$ are angular frequency and velocity of electromagnetic wave respectively. The energy contained in a volume of $5 	imes 10^{-4} \, 	ext{m}^3$ will be (Given $\varepsilon_0 = 8.85 	imes 10^{-12} \, 	ext{C}^2 / 	ext{Nm}^2$)

Accepted Answer

(C) $8.85 	imes 10^{-13} \, 	ext{J}$

Answer

(A) $28.5 	imes 10^{-13} \, 	ext{J}$

Answer

(B) $17.7 	imes 10^{-13} \, 	ext{J}$

Answer

(D) $88.5 	imes 10^{-13} \, 	ext{J}$

Question 32

From the $v$-$t$ graph shown, the ratio of distance to displacement in 25 s of motion

Accepted Answer

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

Answer

(A) $\dfrac{3}{5}$

Answer

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

Answer

(D) $1$

Question 33

The radii of two planets 'A' and 'B' are 'R' and '4R' and their densities are $\rho$ and $\rho/3$ respectively. The ratio of acceleration due to gravity at their surfaces $(g_A : g_B)$ will be :

Accepted Answer

(C) $3 : 4$

Answer

(A) $1 : 16$

Answer

(B) $3 : 16$

Answer

(D) $4 : 3$

Question 34

A coin placed on a rotating table just slips when it is placed at a distance of 1 cm from the center. If the angular velocity of the table in halved, it will just slip when placed at a distance of _____ from the centre:

Accepted Answer

(D) 4 cm

Answer

(A) 2 cm

Answer

(B) 1 cm

Answer

(C) 8 cm

Question 35

The logic performed by the circuit shown in figure is equivalent to :

Accepted Answer

(A) AND

Answer

(B) NAND

Answer

(C) OR

Answer

(D) NOR

Question 36

A parallel plate capacitor of capacitance 2 F is charged to a potential V. The energy stored in the capacitor is $E_1$. The capacitor is now connected to another uncharged identical capacitor in parallel combination. The energy stored in the combination is $E_2$. The ratio $E_2/E_1$ is :

Accepted Answer

(B) $1 : 2$

Answer

(A) $2 : 1$

Answer

(C) $1 : 4$

Answer

(D) $2 : 3$

Question 37

Two identical heater filaments are connected first in parallel and then in series. At the same applied voltage, the ratio of heat produced in same time for parallel to series will be:

Accepted Answer

(A) $4 : 1$

Answer

(B) $2 : 1$

Answer

(C) $1 : 2$

Answer

(D) $1 : 4$

Question 38

A transmitting antenna is kept on the surface of the earth. The minimum height of receiving antenna required to receive the signal in line of sight at 4 km distance from it is $x 	imes 10^{-2}$ m. The value of $x$ is (Let. radius of earth $R = 6400$ km)

Accepted Answer

(A) 125

Answer

(B) 12.5

Answer

(C) 1.25

Answer

(D) 1250

Question 39

As per the given graph choose the correct representation for curve A and curve B. {Where $X_C$ = reactance of pure capacitive circuit connected with A.C. source, $X_L$ = reactance of pure inductive circuit connected with A.C. source, $R$ = impedance of pure resistive circuit connected with A.C. source, $Z$ = Impedance of the LCR series circuit}

Accepted Answer

(C) $A = X_C, B = X_L$

Answer

(A) $A = X_C, B = R$

Answer

(B) $A = X_L, B = Z$

Answer

(D) $A = X_L, B = R$

Question 40

1 kg of water at 100$^\circ$C is converted into steam at 100$^\circ$C by boiling at atmospheric pressure. The volume of water changes from $1.00 	imes 10^{-3} \, 	ext{m}^3$ as a liquid to $1.671 \, 	ext{m}^3$ as steam. The change in internal energy of the system during the process will be (Given latent heat of vaporisaiton = 2257 kJ/kg. Atmospheric pressure = $1 	imes 10^5$ Pa)

Accepted Answer

(A) $+ 2090$ kJ

Answer

(B) $- 2090$ kJ

Answer

(C) $- 2426$ kJ

Answer

(D) $+ 2476$ kJ

Question 41

The critical angle for a denser-rarer interface is 45$^\circ$. The speed of light in rarer medium is $3 	imes 10^8$ m/s. The speed of light in the denser medium is:

Accepted Answer

(B) $2.12 	imes 10^8$ m/s

Answer

(A) $5 	imes 10^7$ m/s

Answer

(C) $3.12 	imes 10^7$ m/s

Answer

(D) $\sqrt{2} 	imes 10^8$ m/s

Question 42

A metallic surface is illuminated with radiation of wavelength $\lambda$, the stopping potential is $V_0$. If the same surface is illuminated with radiation of wavelength $2\lambda$, the stopping potential becomes $\dfrac{V_0}{4}$. The threshold wavelength for this metallic surface will be -

Accepted Answer

(D) $3\lambda$

Answer

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

Answer

(B) $4\lambda$

Answer

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

Question 43

The free space inside a current carrying toroid is filled with a material of susceptibility $2 	imes 10^{-2}$. The percentage increase in the value of magnetic field inside the toroid will be

Accepted Answer

(A) 2%

Answer

(B) 0.2%

Answer

(C) 0.1%

Answer

(D) 1%

Question 44

The current sensitivity of moving coil galvanometer is increased by 25%. This increase is achieved only by changing in the number of turns of coils and area of cross section of the wire while keeping the resistance of galvanometer coil constant. The percentage change in the voltage sensitivity will be:

Accepted Answer

(A) +25%

Answer

(B) $- 50\%$

Answer

(C) Zero

Answer

(D) $- 25\%$

Question 45

The variation of kinetic energy (KE) of a particle executing simple harmonic motion with the displacement (x) starting from mean position to extreme position (A) is given by

Accepted Answer

(D) (4)

Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Question 46

On a temperature scale 'X'. The boiling point of water is $65^{\circ}$ X and the freezing point is $-15^{\circ}$ X. Assume that the X scale is linear. The equivalent temperature corresponding to $-95^{\circ}$ X on the Farenheit scale would be:

Accepted Answer

(D) $-148^{\circ}$F

Answer

(A) $-63^{\circ}$F

Answer

(B) $-112^{\circ}$F

Answer

(C) $-48^{\circ}$F

Question 47

Given below are two statements: Statements I: Astronomical unit (Au). Parsec (Pc) and Light year (ly) are units for measuring astronomical distances. Statements II: $	ext{Au} < 	ext{Parsec (Pc)} < 	ext{ly}$. In the light of the above statements. choose the most appropriate answer from the options given below:

Accepted Answer

(B) Statements I is correct but Statements II is incorrect.

Answer

(A) Both Statements I and Statements II are correct.

Answer

(C) Both Statements I and Statements II are incorrect.

Answer

(D) Statements I is incorrect but statements II is correct.

Question 48

Three vessels of equal volume contain gases at the same temperature and pressure. The first vessel contains neon (monoatomic), the second contains chlorine (diatomic) and third contains uranium hexafloride (polyatomic). Arrange these on the basis of their root mean square speed ($v_{rms}$) and choose the correct answer from the options given below:

Accepted Answer

(B) $v_{rms}(	ext{mono}) > v_{rms}(	ext{dia}) > v_{rms}(	ext{poly})$

Answer

(A) $v_{rms}(	ext{mono}) = v_{rms}(	ext{dia}) = v_{rms}(	ext{poly})$

Answer

(C) $v_{rms}(	ext{dia}) < v_{rms}(	ext{poly}) < v_{rms}(	ext{mono})$

Answer

(D) $v_{rms}(	ext{mono}) < v_{rms}(	ext{dia}) < v_{rms}(	ext{poly})$

Question 49

An average force of 125 N is applied on a machine gun firing bullets each of mass 10 g at the speed of 250 m/s to keep it in position. The number of bullets fired per second by the machine gun is:

Accepted Answer

(B) 50

Answer

(A) 5

Answer

(C) 100

Answer

(D) 25

Question 50

Two radioactive elements A and B initially have same number of atoms. The half life of A is same as the average life of B. If $\lambda_A$ and $\lambda_B$ are decay constants of A and B respectively, then choose the correct relation from the given options.

Accepted Answer

(C) $\lambda_A = \lambda_B \ln 2$

Answer

(A) $\lambda_A = \lambda_B$

Answer

(B) $\lambda_A = 2\lambda_B$

Answer

(D) $\lambda_A \ln 2 = \lambda_B$

Question 51

A monochromatic light is incident on a hydrogen sample in ground state. Hydrogen atoms absorb a fraction of light and subsequently emit radiation of six different wavelengths. The frequency of incident light is $x 	imes 10^{15}$ Hz. The value of x is ________. (Given $h = 4.25 	imes 10^{-15}$ eVs)

Accepted Answer

3

Question 52

The radius of curvature of each surface of a convex lens having refractive index 1.8 is 20 cm. The lens is now immersed in a liquid of refractive index 1.5. The ratio of power of lens in air to its power in the liquid will be $x : 1$. The value of x is ______.

Accepted Answer

4

Question 53

The equation of wave is given by $Y = 10^{-2} \sin 2\pi \left( 160t - 0.5x + \frac{\pi}{4} ight)$ Where x and Y are in m and t in s. The speed of the wave is ____ $	ext{km h}^{-1}$

Accepted Answer

1152

Question 54

A force $\vec{F} = (2 + 3x)\hat{i}$ acts on a particle in the x direction where F is in newton and x is in meter. The work done by this force during a displacement from $x = 0$ to $x = 4$ m, is ____ J.

Accepted Answer

32

Question 55

As shown in the figure. a configuration of two equal point charges ($q_0 = +2\mu$ C) is placed on an inclined plane. Mass of each point charge is 20 g. Assume that there is no friction between charge and plane. For the system of two point charges to be in equilibrium (at rest) the height $h = x 	imes 10^{-3}$ m The value of x is ____. (Take $\frac{1}{4\pi\varepsilon_0} = 9 	imes 10^9 	ext{ N m}^2	ext{C}^{-2}, g = 10 	ext{ ms}^{-1}$)

Accepted Answer

300

Question 56

A solid sphere of mass 500 g and radius 5 cm is rotated about one of its diameter with angular speed of 10 rad $	ext{s}^{-1}$. If the moment of inertia of the sphere about its tangent is $x 	imes 10^{-2}$ times its angular momentum about the diameter. Then the value of x will be ______.

Accepted Answer

35

Question 57

The length of wire becomes $l_1$ and $l_2$ when 100N and 120 N tensions are applied respectively. If $10 l_2 = 11 l_1$, the natural length of wire will be $\frac{1}{x} l_1$. Here the value of x is ____.

Accepted Answer

2

Question 58

The magnetic field B crossing normally a square metallic plate of area 4 $	ext{m}^2$ is changing with time as shown in figure. The magnitude of induced emf in the plate during $t = 2$s to $t = 4$s, is ________ mV

Accepted Answer

8

Question 59

A projectile fired at $30^{\circ}$ to the ground is observed to be at same height at time 3s and 5s after projection, during its flight. The speed of projection of the projectile is ________ $	ext{ms}^{-1}$ (Given $g = 10 	ext{ m s}^{-2}$)

Accepted Answer

80

Question 60

In the circuit diagram shown in figure given below, the current flowing through resistance $3\Omega$ is $\frac{x}{3}$ A. The value of x is ____.

Accepted Answer

1

Question 61

L-isomer of tetrose X ($C_4H_8O_4$) gives positive Schiff's test and has two chiral carbons. On acetylation, 'X' yields triacetate. 'X' also undergoes following reactions: 'A' $\xleftarrow{HNO_3}$ 'X' $\xrightarrow{NaBH_4}$ 'B' (Chiral compound). 'X' is

Accepted Answer

(B) (2)

Answer

(A) (1)

Answer

(C) (3)

Answer

(D) (4)

Question 62

The polymer X consists of linear molecules and is closely packed. It is prepared in the presence of triethylaluminium and titanium tetrachloride under low pressure. The polymer X is

Accepted Answer

(D) High density polythene

Answer

(A) Polyacrylonitrile

Answer

(B) Low density polythene

Answer

(C) Polytetrafluoroethane

Question 63

When a solution of mixture having two inorganic salts was treated with freshly prepared ferrous sulphate in acidic medium, a dark brown ring was formed whereas on treatment with neutral $FeCl_3$, it gave deep red colour which disappeared on boiling and a brown red ppt was formed. The mixture contains

Accepted Answer

(A) $CH_3COO^-$ & $NO_3^-$

Answer

(B) $C_2O_4^{2-}$ & $NO_3^-$

Answer

(C) $SO_3^{2-}$ & $CH_3COO^-$

Answer

(D) $SO_3^{2-}$ & $C_2O_4^{2-}$

Question 64

Given below are two statements: one is labelled as Assertion A and the other is labelled as
Reason R:
Assertion A: In the photoelectric effect, the electrons are ejected from the metal surface as soon as the beam of light of frequency greater than threshold frequency strikes the surface.
Reason R: When the photon of any energy strikes an electron in the atom, transfer of energy from the photon to the electron takes place.
In the light of the above statements, choose the most appropriate answer from the options given below:

Accepted Answer

(B) A is correct but R is not correct

Answer

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

Answer

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

Answer

(D) A is not correct but R is correct

List-I Species	List-II Geometry/Shape
A. $H_3O^+$	I.Tetrahedral
B.Acetylide anion	II.Linear
C. $NH_4^+$	III.Pyramidal
D. $ClO_2^-$	IV.Bent

List-I	List-II
A.K	I.Thermonuclear reactions
B.KCl	II.Fertilizer
C.KOH	III.Sodium potassium pump
D.Li	IV.Absorbent of $CO_2$

JEE Main 11 April 2023 Shift 1 Question Paper with Answers

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