JEE Main 9 April 2024 Shift 1 Question Paper

Question 1

Let the line L intersect the lines $x - 2 = -y = z - 1$, $2(x + 1) = 2(y - 1) = z + 1$ and be parallel to the line $\frac{x - 2}{3} = \frac{y - 1}{1} = \frac{z - 2}{2}$. Then which of the following points lies on L?

Accepted Answer

(B) $\left(-\frac{1}{3}, 1, -1\right)$

Answer

(A) $\left(-\frac{1}{3}, 1, 1\right)$

Answer

(C) $\left(-\frac{1}{3}, -1, -1\right)$

Answer

(D) $\left(-\frac{1}{3}, -1, 1\right)$

Question 2

The parabola $y^2 = 4x$ divides the area of the circle $x^2 + y^2 = 5$ in two parts. The area of the smaller part is equal to:

Accepted Answer

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

Answer

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

Answer

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

Answer

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

Question 3

The solution curve, of the differential equation $2y\frac{dy}{dx} + 3 = 5\frac{dy}{dx}$, passing through the point $(0, 1)$ is a conic, whose vertex lies on the line:

Accepted Answer

(A) $2x + 3y = 9$

Answer

(B) $2x + 3y = -9$

Answer

(C) $2x + 3y = -6$

Answer

(D) $2x + 3y = 6$

Question 4

A ray of light coming from the point $P(1, 2)$ gets reflected from the point Q on the x-axis and then passes through the point $R(4, 3)$. If the point $S(h, k)$ is such that PQRS is a parallelogram, then $hk^2$ is equal to:

Accepted Answer

(D) 70

Answer

(A) 80

Answer

(B) 90

Answer

(C) 60

Question 5

Let $\lambda, \mu \in \mathbb{R}$. If the system of equations $3x + 5y + \lambda z = 3$, $7x + 11y - 9z = 2$, $97x + 155y - 189z = \mu$ has infinitely many solutions, then $\mu + 2\lambda$ is equal to:

Accepted Answer

(A) 25

Answer

(B) 24

Answer

(C) 27

Answer

(D) 22

Question 6

The coefficient of $x^{70}$ in $x^2(1 + x)^{98} + x^3(1 + x)^{97} + x^4(1 + x)^{96} + \ldots + x^{54}(1 + x)^{46}$ is ${}^{99}C_p - {}^{46}C_q$. Then a possible value to $p + q$ is:

Accepted Answer

(D) 83

Answer

(A) 55

Answer

(B) 61

Answer

(C) 68

Question 7

Let $\int \frac{2 - 	an x}{3 + 	an x}\,dx = \frac{1}{2}\left(\alpha x + \log_e |\beta \sin x + \gamma \cos x|ight) + C$, where C is the constant of integration. Then $\alpha + \frac{\gamma}{\beta}$ is equal to:

Accepted Answer

(C) 4

Answer

(A) 3

Answer

(B) 1

Answer

(D) 7

Question 8

A variable line L passes through the point $(3, 5)$ and intersects the positive coordinate axes at the points A and B. The minimum area of the triangle OAB, where O is the origin, is:

Accepted Answer

(A) 30

Answer

(B) 25

Answer

(C) 40

Answer

(D) 35

Question 9

Let $|\cos	heta \cos(60 - 	heta)\cos(60 + 	heta)| \le \frac{1}{8}$, $	heta \in [0, 2\pi]$. Then, the sum of all $	heta \in [0, 2\pi]$, where $\cos 3	heta$ attains its maximum value, is:

Accepted Answer

(C) $6\pi$

Answer

(A) $9\pi$

Answer

(B) $18\pi$

Answer

(D) $15\pi$

Question 10

Let $\vec{OA} = 2\vec{a}$, $\vec{OB} = 6\vec{a} + 5\vec{b}$ and $\vec{OC} = 3\vec{b}$, where O is the origin. If the area of the parallelogram with adjacent sides $\vec{OA}$ and $\vec{OC}$ is 15 sq. units, then the area (in sq. units) of the quadrilateral OABC is equal to:

Accepted Answer

(D) 35

Answer

(A) 38

Answer

(B) 40

Answer

(C) 32

Question 11

If the domain of the function $f(x) = \sin^{-1}\left(\frac{x - 1}{2x + 3}\right)$ is $\mathbb{R} - (\alpha, \beta)$, then $12\alpha\beta$ is equal to:

Accepted Answer

(D) 32

Answer

(A) 36

Answer

(B) 24

Answer

(C) 40

Question 12

If the sum of series $\frac{1}{1\cdot(1 + d)} + \frac{1}{(1 + d)(1 + 2d)} + \ldots + \frac{1}{(1 + 9d)(1 + 10d)}$ is equal to 5, then $50d$ is equal to:

Accepted Answer

(B) 5

Answer

(A) 20

Answer

(C) 15

Answer

(D) 10

Question 13

Let $f(x) = ax^3 + bx^2 + cx + 41$ be such that $f(1) = 40$, $f'(1) = 2$ and $f''(1) = 4$. Then $a^2 + b^2 + c^2$ is equal to:

Accepted Answer

(D) 51

Answer

(A) 62

Answer

(B) 73

Answer

(C) 54

Question 14

Let a circle passing through $(2, 0)$ have its centre at the point $(h, k)$. Let $(x_c, y_c)$ be the point of intersection of the lines $3x + 5y = 1$ and $(2 + c)x + 5c^2 y = 1$. If $h = \lim_{c 	o 1} x_c$ and $k = \lim_{c 	o 1} y_c$, then the equation of the circle is:

Accepted Answer

(A) $25x^2 + 25y^2 - 20x + 2y - 60 = 0$

Answer

(B) $5x^2 + 5y^2 - 4x - 2y - 12 = 0$

Answer

(C) $25x^2 + 25y^2 - 2x + 2y - 60 = 0$

Answer

(D) $5x^2 + 5y^2 - 4x + 2y - 12 = 0$

Question 15

The shortest distance between the line $\frac{x - 3}{4} = \frac{y + 7}{-11} = \frac{z - 1}{5}$ and $\frac{x - 5}{3} = \frac{y - 9}{-6} = \frac{z + 2}{1}$ is:

Accepted Answer

(A) $\frac{187}{\sqrt{563}}$

Answer

(B) $\frac{178}{\sqrt{563}}$

Answer

(C) $\frac{185}{\sqrt{563}}$

Answer

(D) $\frac{179}{\sqrt{563}}$

Question 16

The frequency distribution of the age of students in a class of 40 students is given below. Age: 15, 16, 17, 18, 19, 20; No. of Students: 5, 8, 5, 12, $x$, $y$. If the mean deviation about the median is $1.25$, then $4x + 5y$ is equal to :

Accepted Answer

(B) 44

Answer

(A) 43

Answer

(C) 47

Answer

(D) 46

Question 17

The solution of the differential equation $(x^2 + y^2)dx - 5xy\, dy = 0$, $y(1) = 0$, is :

Accepted Answer

(A) $\left|x^2 - 4y^2\right|^5 = x^2$

Answer

(B) $\left|x^2 - 2y^2\right|^6 = x$

Answer

(C) $\left|x^2 - 4y^2\right|^6 = x$

Answer

(D) $\left|x^2 - 2y^2\right|^5 = x^2$

Question 18

Let three vectors $\vec{a} = \alpha\hat{i} + 4\hat{j} + 2\hat{k}$, $\vec{b} = 5\hat{i} + 3\hat{j} + 4\hat{k}$, $\vec{c} = x\hat{i} + y\hat{j} + z\hat{k}$ form a triangle such that $\vec{c} = \vec{a} - \vec{b}$ and the area of the triangle is $5\sqrt{6}$. If $\alpha$ is a positive real number, then $|\vec{c}|^2$ is :

Accepted Answer

(B) 14

Answer

(A) 16

Answer

(C) 12

Answer

(D) 10

Question 19

Let $\alpha, \beta$ be the roots of the equation $x^2 + 2\sqrt{2}\,x - 1 = 0$. The quadratic equation, whose roots are $\alpha^4 + \beta^4$ and $\frac{1}{10}(\alpha^6 + \beta^6)$, is :

Accepted Answer

(C) $x^2 - 195x + 9506 = 0$

Answer

(A) $x^2 - 190x + 9466 = 0$

Answer

(B) $x^2 - 195x + 9466 = 0$

Answer

(D) $x^2 - 180x + 9506 = 0$

Question 20

Let $f(x) = x^2 + 9$, $g(x) = \frac{x}{x-9}$ and $a = f\circ g(10)$, $b = g\circ f(3)$. If $e$ and $l$ denote the eccentricity and the length of the latus rectum of the ellipse $\frac{x^2}{a} + \frac{y^2}{b} = 1$, then $8e^2 + l^2$ is equal to.

Accepted Answer

(B) 8

Answer

(A) 16

Answer

(C) 6

Answer

(D) 12

Question 21

Let $a$, $b$ and $c$ denote the outcome of three independent rolls of a fair tetrahedral die, whose four faces are marked $1, 2, 3, 4$. If the probability that $ax^2 + bx + c = 0$ has all real roots is $\frac{m}{n}$, $\gcd(m, n) = 1$, then $m + n$ is equal to ________.

Accepted Answer

19

Question 22

The sum of the square of the modulus of the elements in the set $\{z = a + ib : a, b \in \mathbb{Z}, z \in \mathbb{C}, |z-1| \le 1, |z-5| \le |z-5i|\}$ is ________.

Accepted Answer

9

Question 23

Let the set of all positive values of $\lambda$, for which the point of local minimum of the function $\left(1 + x(\lambda^2 - x^2)\right)$ satisfies $\frac{x^2 + x + 2}{x^2 + 5x + 6} < 0$, be $(\alpha, \beta)$. Then $\alpha^2 + \beta^2$ is equal to ________.

Accepted Answer

39

Question 24

Let $\lim_{n 	o \infty} \left( \frac{n}{\sqrt{n^4+1}} - \frac{2n}{(n^2+1)\sqrt{n^4+1}} + \frac{n}{\sqrt{n^4+16}} - \frac{8n}{(n^2+4)\sqrt{n^4+16}} + \cdots + \frac{n}{\sqrt{n^4+n^4}} - \frac{2n \cdot n^2}{(n^2+n^2)\sqrt{n^4+n^4}} ight)$ be $\frac{\pi}{k}$, using only the principal values of the inverse trigonometric functions. Then $k^2$ is equal to ________.

Accepted Answer

32

Question 25

The remainder when $428^{2024}$ is divided by $21$ is ________.

Accepted Answer

1

Question 26

Let $f:(0, \pi) 	o \mathbb{R}$ be a function given by $f(x) = \begin{cases} \left(\frac{8}{7}ight)^{\frac{	an 8x}{	an 7x}}, & 0 < x < \frac{\pi}{2} \ a - 8, & x = \frac{\pi}{2} \ (1 + |\cot x|)^{\frac{b}{a}|	an x|}, & \frac{\pi}{2} < x < \pi \end{cases}$ Where $a, b \in \mathbb{Z}$. If $f$ is continuous at $x = \frac{\pi}{2}$, then $a^2 + b^2$ is equal to ________.

Accepted Answer

81

Question 27

Let $A$ be a non-singular matrix of order $3$. If $\det(3\,\mathrm{adj}(2\,\mathrm{adj}((\det A)A))) = 3^{-13} \cdot 2^{-10}$ and $\det(3\,\mathrm{adj}(2A)) = 2^m \cdot 3^n$, then $|3m + 2n|$ is equal to ________.

Accepted Answer

14

Question 28

Let the centre of a circle, passing through the point $(0, 0)$, $(1, 0)$ and touching the circle $x^2 + y^2 = 9$, be $(h, k)$. Then for all possible values of the coordinates of the centre $(h, k)$, $4(h^2 + k^2)$ is equal to ________.

Accepted Answer

9

Question 29

If a function $f$ satisfies $f(m + n) = f(m) + f(n)$ for all $m, n \in \mathbb{N}$ and $f(1) = 1$, then the largest natural number $\lambda$ such that $\sum_{k=1}^{2022} f(\lambda + k) \le (2022)^2$ is equal to ________.

Accepted Answer

1010

Question 30

Let $A = \{2, 3, 6, 7\}$ and $B = \{4, 5, 6, 8\}$. Let $R$ be a relation defined on $A 	imes B$ by $(a_1, b_1)\, R\, (a_2, b_2)$ is and only if $a_1 + a_2 = b_1 + b_2$. Then the number of elements in $R$ is ________.

Accepted Answer

25

Question 31

A proton, an electron and an alpha particle have the same energies. Their de-Broglie wavelengths will be compared as:

Accepted Answer

(B) $\lambda_\alpha < \lambda_p < \lambda_e$

Answer

(A) $\lambda_e > \lambda_\alpha > \lambda_p$

Answer

(C) $\lambda_p < \lambda_e < \lambda_\alpha$

Answer

(D) $\lambda_p > \lambda_e > \lambda_\alpha$

Question 32

A particle moving in a straight line covers half the distance with speed 6 m/s. The other half is covered in two equal time intervals with speeds 9 m/s and 15 m/s respectively. The average speed of the particle during the motion is :

Accepted Answer

(D) 8 m/s

Answer

(A) 8.8 m/s

Answer

(B) 10 m/s

Answer

(C) 9.2 m/s

Question 33

A plane EM wave is propagating along x direction. It has a wavelength of 4 mm. If electric field is in y direction with the maximum magnitude of 60 Vm$^{-1}$, the equation for magnetic field is:

Accepted Answer

(B) $B_z = 2	imes10^{-7}\sin\left[\dfrac{\pi}{2}	imes10^3\left(x - 3	imes10^8 tight)ight]\hat{k}$ T

Answer

(A) $B_z = 60\sin\left[\dfrac{\pi}{2}\left(x - 3	imes10^8 tight)ight]\hat{k}$ T

Answer

(C) $B_x = 60\sin\left[\dfrac{\pi}{2}\left(x - 3	imes10^8 tight)ight]\hat{i}$ T

Answer

(D) $B_z = 2	imes10^{-7}\sin\left[\dfrac{\pi}{2}\left(x - 3	imes10^8 tight)ight]\hat{k}$ T

Question 34

Given below are two statements: Statement (I): When an object is placed at the centre of curvature of a concave lens, image is formed at the centre of curvature of the lens on the other side. Statement (II): Concave lens always forms a virtual and erect image. In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

(D) Both Statement I and Statement II are true.

Question 35

A light emitting diode (LED) is fabricated using GaAs semiconducting material whose band gap is 1.42 eV. The wavelength of light emitted from the LED is:

Accepted Answer

(C) 875 nm

Answer

(A) 650 nm

Answer

(B) 1243 nm

Answer

(D) 1400 nm

Question 36

A sphere of relative density $\sigma$ and diameter D has concentric cavity of diameter d. The ratio of $\dfrac{D}{d}$, if it just floats on water in a tank is:

Accepted Answer

(A) $\left(\dfrac{\sigma}{\sigma-1}\right)^{\frac{1}{3}}$

Answer

(B) $\left(\dfrac{\sigma+1}{\sigma-1}\right)^{\frac{1}{3}}$

Answer

(C) $\left(\dfrac{\sigma-1}{\sigma}\right)^{\frac{1}{3}}$

Answer

(D) $\left(\dfrac{\sigma-2}{\sigma+2}\right)^{\frac{1}{3}}$

Question 37

A capacitor is made of a flat plate of area A and a second plate having a stair-like structure as shown in figure. If the area of each stair is $\dfrac{A}{3}$ and the height is d, the capacitance of the arrangement is:

Accepted Answer

(A) $\dfrac{11\varepsilon_0 A}{18 d}$

Answer

(B) $\dfrac{13\varepsilon_0 A}{17 d}$

Answer

(C) $\dfrac{11\varepsilon_0 A}{20 d}$

Answer

(D) $\dfrac{18\varepsilon_0 A}{11 d}$

Question 38

A light unstretchable string passing over a smooth light pulley connects two blocks of masses $m_1$ and $m_2$. If the acceleration of the system is $\dfrac{g}{8}$, then the ratio of the masses $\dfrac{m_2}{m_1}$ is:

Accepted Answer

(A) 9 : 7

Answer

(B) 4 : 3

Answer

(C) 5 : 3

Answer

(D) 8 : 1

Question 39

The dimensional formula of latent heat is:

Accepted Answer

(C) $[M^0 L^2 T^{-2}]$

Answer

(A) $[M^0 L T^{-2}]$

Answer

(B) $[M L T^{-2}]$

Answer

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

Question 40

The volume of an ideal gas ($\gamma = 1.5$) is changed adiabatically from 5 litres to 4 litres. The ratio of initial pressure to final pressure is:

Accepted Answer

(C) $\dfrac{8}{5\sqrt{5}}$

Answer

(A) $\dfrac{4}{5}$

Answer

(B) $\dfrac{16}{25}$

Answer

(D) $\dfrac{2}{\sqrt{5}}$

Question 41

The energy equivalent of 1g of substance is:

Accepted Answer

(D) $5.6 	imes 10^{26}$ MeV

Answer

(A) $11.2 	imes 10^{24}$ MeV

Answer

(B) $5.6 	imes 10^{12}$ MeV

Answer

(C) 5.6 eV

Question 42

An astronaut takes a ball of mass m from earth to space. He throws the ball into a circular orbit about earth at an altitude of 318.5 km. From earth's surface to the orbit, the change in total mechanical energy of the ball is $x\dfrac{GM_e m}{21 R_e}$. The value of x is (take $R_e = 6370$ km):

Accepted Answer

(A) 11

Answer

(B) 9

Answer

(C) 12

Answer

(D) 10

Question 43

Given below are two statements: Statement (I): When currents vary with time, Newton's third law is valid only if momentum carried by the electromagnetic field is taken into account. Statement (II): Ampere's circuital law does not depend on Biot-Savart's law. In the light of the above statements, choose the correct answer from the options given below:

Accepted Answer

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

Answer

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

Answer

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

Answer

(D) Both Statement I and Statement II are true.

Question 44

A particle of mass m moves on a straight line with its velocity increasing with distance according to the equation $v = \alpha\sqrt{x}$, where $\alpha$ is a constant. The total work done by all the forces applied on the particle during its displacement from $x = 0$ to $x = d$, will be:

Accepted Answer

(C) $\dfrac{m\alpha^2 d}{2}$

Answer

(A) $\dfrac{m}{2\alpha^2 d}$

Answer

(B) $\dfrac{md}{2\alpha^2}$

Answer

(D) $2m\alpha^2 d$

Question 45

A galvanometer has a coil of resistance 200 $\Omega$ with a full scale deflection at 20 $\mu$A. The value of resistance to be added to use it as an ammeter of range (0–20) mA is:

Accepted Answer

(B) 0.20 $\Omega$

Answer

(A) 0.40 $\Omega$

Answer

(C) 0.50 $\Omega$

Answer

(D) 0.10 $\Omega$

Question 46

A heavy iron bar, of weight $W$ is having its one end on the ground and the other on the shoulder of a person. The bar makes an angle $	heta$ with the horizontal. The weight experienced by the person is:

Accepted Answer

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

Answer

(B) $W$

Answer

(C) $W\cos	heta$

Answer

(D) $W\sin	heta$

Question 47

One main scale division of a vernier caliper is equal to $m$ units. If $n^{th}$ division of main scale coincides with $(n+1)^{th}$ division of vernier scale, the least count of the vernier caliper is:

Accepted Answer

(B) $\frac{m}{(n+1)}$

Answer

(A) $\frac{n}{(n+1)}$

Answer

(C) $\frac{1}{(n+1)}$

Answer

(D) $\frac{m}{n(n+1)}$

Question 48

A bulb and a capacitor are connected in series across an ac supply. A dielectric is then placed between the plates of the capacitor. The glow of the bulb:

Accepted Answer

(A) increases

Answer

(B) remains same

Answer

(C) becomes zero

Answer

(D) decreases

Question 49

The equivalent resistance between A and B is:

Accepted Answer

(D) $19\ \Omega$

Answer

(A) $18\ \Omega$

Answer

(B) $25\ \Omega$

Answer

(C) $27\ \Omega$

Question 50

A sample of 1 mole gas at temperature $T$ is adiabatically expanded to double its volume. If adiabatic constant for the gas is $\gamma=\frac{3}{2}$, then the work done by the gas in the process is:

Accepted Answer

(A) $RT\left[2-\sqrt{2}\right]$

Answer

(B) $\frac{R}{T}\left[2-\sqrt{2}\right]$

Answer

(C) $RT\left[2+\sqrt{2}\right]$

Answer

(D) $\frac{T}{R}\left[2+\sqrt{2}\right]$

Question 51

If $\vec{a}$ and $\vec{b}$ makes an angle $\cos^{-1}\left(\frac{5}{9}\right)$ with each other, then $|\vec{a}+\vec{b}|=\sqrt{2}\,|\vec{a}-\vec{b}|$ for $|\vec{a}|=n\,|\vec{b}|$. The integer value of $n$ is ______.

Accepted Answer

3

Question 52

At the centre of a half ring of radius $R=10$ cm and linear charge density $4n\ \mathrm{C\ m^{-1}}$, the potential is $x\,\pi\ \mathrm{V}$. The value of $x$ is ______.

Accepted Answer

36

Question 53

A star has 100% helium composition. It starts to convert three $^{4}\mathrm{He}$ into one $^{12}\mathrm{C}$ via triple alpha process as $^{4}\mathrm{He}+{}^{4}\mathrm{He}+{}^{4}\mathrm{He}	o{}^{12}\mathrm{C}+Q$. The mass of the star is $2.0	imes10^{32}$ kg and it generates energy at the rate of $5.808	imes10^{30}$ W. The rate of converting these $^{4}\mathrm{He}$ to $^{12}\mathrm{C}$ is $n	imes10^{42}\ \mathrm{s^{-1}}$, where $n$ is ______. [Take, mass of $^{4}\mathrm{He}=4.0026$ u, mass of $^{12}\mathrm{C}=12$ u]

Accepted Answer

5

Question 54

In a Young's double slit experiment, the intensity at a point is $\left(\frac{1}{4}\right)^{th}$ of the maximum intensity, the minimum distance of the point from the central maximum is ______ $\mu$m. (Given: $\lambda=600$ nm, $d=1.0$ mm, $D=1.0$ m)

Accepted Answer

200

Question 55

A string is wrapped around the rim of a wheel of moment of inertia $0.40\ \mathrm{kgm^{2}}$ and radius 10 cm. The wheel is free to rotate about its axis. Initially the wheel is at rest. The string is now pulled by a force of 40 N. The angular velocity of the wheel after 10 s is $x$ rad/s, where $x$ is ______.

Accepted Answer

100

Question 56

A square loop of edge length 2 m carrying current of 2 A is placed with its edges parallel to the x-y axis. A magnetic field is passing through the x-y plane and expressed as $\vec{B}=B_{0}(1+4x)\hat{k}$, where $B_{0}=5$ T. The net magnetic force experienced by the loop is ______ N.

Accepted Answer

160

Question 57

Two persons pull a wire towards themselves. Each person exerts a force of 200 N on the wire. Young's modulus of the material of wire is $1	imes10^{11}\ \mathrm{N\ m^{-2}}$. Original length of the wire is 2 m and the area of cross section is $2\ \mathrm{cm^{2}}$. The wire will extend in length by ______ $\mu$m.

Accepted Answer

20

Question 58

When a coil is connected across a 20 V dc supply, it draws a current of 5 A. When it is connected across 20 V, 50 Hz ac supply, it draws a current of 4 A. The self inductance of the coil is ______ mH. (Take $\pi=3$)

Accepted Answer

10

Question 59

The position, velocity and acceleration of a particle executing simple harmonic motion are found to have magnitudes of 4 m, $2\ \mathrm{ms^{-1}}$ and $16\ \mathrm{ms^{-2}}$ at a certain instant. The amplitude of the motion is $\sqrt{x}$ m where $x$ is ______.

Accepted Answer

17

Question 60

The current flowing through the $1\ \Omega$ resistor is $\frac{n}{10}$ A. The value of $n$ is ______.

Accepted Answer

25

Question 61

The molar conductivity for electrolytes A and B are plotted against $C^{1/2}$ as shown below. Electrolytes A and B respectively are :

Accepted Answer

(C) A: Weak electrolyte, B: strong electrolyte

Answer

(A) A: Weak electrolyte, B: weak electrolyte

Answer

(B) A: Strong electrolyte, B: strong electrolyte

Answer

(D) A: Strong electrolyte, B: weak electrolyte

Question 62

Methods used for purification of organic compounds are based on :

Accepted Answer

(C) nature of compound and presence of impurity.

Answer

(A) neither on nature of compound nor on the impurity present.

Answer

(B) nature of compound only.

Answer

(D) presence of impurity only.

Question 63

In the following sequence of reaction, the major products B and C respectively are :

Accepted Answer

(A) (1)

Answer

(B) (2)

Answer

(C) (3)

Answer

(D) (4)

Question 64

Correct order of basic strength of Pyrrole, Pyridine and Piperidine is :

Accepted Answer

(A) Piperidine > Pyridine > Pyrrole

Answer

(B) Pyrrole > Pyridine > Piperidine

Answer

(C) Pyridine > Piperidine > Pyrrole

Answer

(D) Pyrrole > Piperidine > Pyridine

JEE Main 9 April 2024 Shift 1 Question Paper with Answers

Physics — JEE Main 9 April 2024 Shift 1

Chemistry — JEE Main 9 April 2024 Shift 1

Mathematics — JEE Main 9 April 2024 Shift 1

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