JEE Main 2023 Physics April 13 Shift 2 Question Paper PDF Download

JEE Main 2023 Physics April 13 Shift 2 Question Paper is available here for download. Candidates can download official JEE Main 2023 Physics Question Paper PDF with Solution and Answer Key for April 13 Shift 2 using the link below. JEE Main Physics Question Paper is divided into two sections, Section A with 20 MCQs and Section B with 10 numerical type questions. Candidates are required to answer all questions from Section A and any 5 questions from section B.

JEE Main 2023 Physics Question Paper April 13 Shift 2 PDF

JEE Main 2023 April 13 Shift 2 Physics Question Paper with Solution PDF	Download	Check Solution

JEE Main 2023 Physics Questions with Solutions

Section – A

Question 1:
Given below are two statements:

Statement I: An AC circuit undergoes electrical resonance if it contains either a capacitor or an inductor.
Statement II: An AC circuit containing a pure capacitor or a pure inductor consumes high power due to its non-zero power factor.

(1) Statement I is false but Statement II is true
(2) Statement I is true but Statement II is false
(3) Both Statement I and Statement II are false
(4) Both Statement I and Statement II are true

Correct Answer:(3)
View Solution

Question 2:

A passenger sitting in a train A moving at 90 km/h observes another train B moving in the opposite direction for 8 s. If the velocity of the train B is 54 km/h, then the length of train B is:

(1) 120 m
(2) 200 m
(3) 320 m
(4) 80 m

Correct Answer:(3) 320 m
View Solution

Question 3:

The output from a NAND gate having inputs A and B given below will be,

Correct Answer:(1)
View Solution

Question 4:

The distance travelled by an object in time t is given by \( s = (2.5)t^2 \). The instantaneous speed of the object at \( t = 5 \) sec will be:

(1) 25 m/s
(2) 12.5 m/s
(3) 5 m/s
(4) 62.5 m/s

Correct Answer:(1)

View Solution

The distance travelled is given by \( s = 2.5t^2 \).
The speed \( v \) is the rate of change of distance with respect to time, which can be found by differentiating the distance equation with respect to time:
\[ v = \frac{ds}{dt} = 5t \]

At \( t = 5 \) sec,
\[ v = 5 \times 5 = 25 \, m/s \]

Thus, the instantaneous speed at \( t = 5 \) sec is 25 m/s. Quick Tip: Remember, instantaneous speed is the first derivative of the position function with respect to time.

Question 5:

In a Young's double slits experiment, the ratio of amplitude of light coming from slits is \( 2 : 1 \). The ratio of the maximum to minimum intensity in the interference pattern is:

(1) 9 : 1
(2) 9 : 4
(3) 2 : 1
(4) 25 : 9

Correct Answer:(1)
View Solution

Question 6:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R.
Assertion A: The binding energy per nucleon is practically independent of the atomic number for nuclei of mass number in the range 30 to 170.
Reason R: Nuclear force is short ranged.

(1) Both A and R are true but R is NOT the correct explanation of A
(2) Both A and R are true and R is the correct explanation of A
(3) A is true but R is false
(4) A is false but R is true

Correct Answer:(1)
View Solution

Question 7:

Two planets A and B of radii R and 1.5R have densities \( \rho \) and \( \rho/2 \) respectively. The ratio of acceleration due to gravity at the surface of B to A is:

(1) 2 : 3
(2) 2 : 1
(3) 4 : 3
(4) 3 : 4

Correct Answer:(4)
View Solution

Question 8:

The mean free path of molecules of a certain gas at STP is 1500d, where d is the diameter of the gas molecules. While maintaining the standard pressure, the mean free path of the molecules at 373 K is approximately:

(1) 750d
(2) 1500d
(3) 1098d
(4) 2049d

Correct Answer:(4)
View Solution

Question 9:

To radiate an EM signal of wavelength \( \lambda \) with high efficiency, the antennas should have a minimum size equal to:

(1) \( \lambda \)
(2) \( \frac{\lambda}{2} \)
(3) \( 2\lambda \)
(4) \( \frac{\lambda}{4} \)

Correct Answer:(4)

View Solution

To radiate EM signals efficiently, the minimum length of the antenna should be a quarter of the wavelength, i.e., \( \frac{\lambda}{4} \). Quick Tip: For efficient radiation, antennas are designed with dimensions related to the wavelength of the signal.

Question 10:

A particle executes SHM of amplitude A. The distance from the mean position when its kinetic energy is equal to its potential energy is:

(1) \( \sqrt{2}A \)
(2) \( \frac{1}{2} A \)
(3) \( \frac{1}{\sqrt{2}}A \)
(4) \( 2A \)

Correct Answer:(3)
View Solution

Question 11:

In an electromagnetic wave, at an instant and at a particular position, the electric field is along the negative z axis and magnetic field is along the positive x-axis. Then the direction of propagation of electromagnetic wave is:

(1) negative y-axis
(2) at 45\(^\circ\) angle from positive y-axis
(3) positive y-axis
(4) positive z-axis

Correct Answer:(1)
View Solution

Question 12:

Given below are two statements:
Statement I: Out of microwaves, infrared rays and ultraviolet rays, ultraviolet rays are the most effective for the emission of electrons from a metallic surface.
Statement II: Above the threshold frequency, the maximum kinetic energy of photoelectrons is inversely proportional to the frequency of the incident light.

(1) Both Statement I and Statement II are true
(2) Both Statement I and Statement II are false
(3) Statement I is true but Statement II is false
(4) Statement I is false but Statement II is true

Correct Answer:(3)
View Solution

Question 13:

Given below are two statements:
Statement I: For a planet, if the ratio of mass of the planet to its radius increases, the escape velocity from the planet also increases.
Statement II: Escape velocity is independent of the radius of the planet.

(1) Both Statement I and Statement II are correct
(2) Statement I is correct but Statement II is incorrect
(3) Statement I is incorrect but Statement II is correct
(4) Both Statement I and Statement II are incorrect

Correct Answer:(2)
View Solution

Question 14:

A vehicle of mass 200 kg is moving along a levelled curved road of radius 70 m with angular velocity of 0.2 rad/s. The centripetal force acting on the vehicle is:

(1) 2800 N
(2) 560 N
(3) 2240 N
(4) 14 N

Correct Answer:(2)
View Solution

Question 15:

A 10 \(\mu\)C charge is divided into two parts and placed at 1 cm distance so that the repulsive force between them is maximum. The charges of the two parts are:

(1) 7 \(\mu\)C, 3 \(\mu\)C
(2) 8 \(\mu\)C, 2 \(\mu\)C
(3) 9 \(\mu\)C, 1 \(\mu\)C
(4) 5 \(\mu\)C, 5 \(\mu\)C

Correct Answer:(4)
View Solution

Question 16:

In the equation \( [ x + \frac{a}{y} ] [ Y - b ] = RT \), where \( X \) is pressure, \( Y \) is volume, \( R \) is universal gas constant and \( T \) is temperature. The physical quantity equivalent to the ratio \( \frac{a}{b} \) is:

(1) Coefficient of viscosity
(2) Energy
(3) Impulse
(4) Pressure gradient

Correct Answer:(2)
View Solution

Question 17:

An electron is moving along the positive x-axis. If the uniform magnetic field is applied parallel to the negative z-axis, then

(1) B and E only
(2) A and E only
(3) B and D only
(4) C and D only

Correct Answer:(1)
View Solution

Question 18:

Given below are two statements: one is labelled as Assertion A and the other is labelled as Reason R

Assertion A: A spherical body of radius \( (5 \pm 0.1) \) mm having a particular density is falling through a liquid of constant density. The percentage error in the calculation of its terminal velocity is 4%.

Reason R: The terminal velocity of the spherical body falling through the liquid is inversely proportional to its radius.

(1) Both A and R are true but R is NOT the correct explanation of A
(2) Both A and R are true and R is the correct explanation of A
(3) A is false but R is true
(4) A is true but R is false

Correct Answer:(4)
View Solution

Question 19:

The initial pressure and volume of an ideal gas are \(P_1\) and \(V_1\). The final pressure of the gas when the gas is suddenly compressed to volume \( \frac{V_1}{4} \) will be:

(1) \(P_1 \left( \frac{V_1}{4} \right)^\gamma \)
(2) \(4 P_1\)
(3) \(P_0\)
(4) \(P_1 \left( \frac{V_1}{4} \right)^{\gamma-1}\)

Correct Answer:(4)
View Solution

Question 20:

In the network shown below, the charge accumulated in the capacitor in steady state will be:

(1) 4.8 \muC
(2) 12 \muC
(3) 7.2 \muC
(4) 10.3 \muC

Correct Answer:(3)
View Solution

Section – B

Question 21:

In an experiment with sonometer when a mass of 180 g is attached to the string, it vibrates with fundamental frequency of 30 Hz. When a mass \(m\) is attached, the string vibrates with fundamental frequency of 50 Hz. The value of \(m\) is \underline{\hspace{3cm g

(1) 25 g
(2) 40 g
(3) 50 g
(4) 60 g

Correct Answer:(1) 25 g

View Solution

Fundamental frequency \( f \) of a vibrating string is given by: \[ f = \frac{1}{2L} \sqrt{\frac{T}{\mu}} \]
Where \(L\) is the length, \(T\) is the tension, and \(\mu\) is the mass per unit length of the string.
For the first condition: \[ f_1 = 30 \, Hz, \quad m_1 = 180 \, g \] \[ f_2 = 50 \, Hz, \quad m_2 = m \, g \]
Using the formula for frequency and ratio of frequencies: \[ \frac{f_2}{f_1} = \sqrt{\frac{m_2}{m_1}} \] \[ \frac{50}{30} = \sqrt{\frac{m}{180}} \]
Squaring both sides and solving for \(m\), we get: \[ \frac{25}{9} = \frac{m}{180} \quad \Rightarrow \quad m = 25 \, g \] Quick Tip: Use the relationship between frequency and mass to solve for unknown masses in vibrating strings.

Question 22:

\textbf{Two plates A and B have thermal conductivities \(84 \, \text{W/m·K}\) and \(126 \, \text{W/m·K}\) respectively. They have the same surface area and same thickness. They are placed in contact along their surfaces. If the temperatures of the outer surfaces of A and B are kept at \(100^\circ \text{C}\) and \(0^\circ \text{C}\) respectively, then the temperature of the surface of contact in steady state is \underline{\hspace{3cm}} \(^\circ \text{C}\).}

(1) 40°C
(2) 50°C
(3) 60°C
(4) 70°C

Correct Answer:(1) 40°C
View Solution

Question 23:

In the circuit shown below, the energy stored in the capacitor is \(3 \, \mu J\). The value of \(n\) is ______________.

circuit

(1) 75
(2) 100
(3) 125
(4) 150

Correct Answer:(3) 75
View Solution

Question 24:

A light rope is wound around a hollow cylinder of mass \(5 \, kg\) and radius \(70 \, cm\). The rope is pulled with a force of \(52.5 \, N\). The angular acceleration of the cylinder will be \underline{\hspace{3cm rad/s\(^2\)

(1) 1.5 rad/s\(^2\)
(2) 5 rad/s\(^2\)
(3) 10 rad/s\(^2\)
(4) 15 rad/s\(^2\)

Correct Answer:(1) 1.5 rad/s\(^2\)
View Solution

Question 25:

A straight wire AB of mass \(40 \, g\) and length \(50 \, cm\) is suspended by a pair of flexible leads in uniform magnetic field of magnitude \(0.40 \, T\). The magnitude of the current required in the wire to remove the tension in the supporting leads is \underline{\hspace{3cm A. (Take \(g = 10 \, m/s^2\))

(1) 1.5 A
(2) 2 A
(3) 3 A
(4) 4 A

Correct Answer:(2) 2 A
View Solution

Question 26:

An insulated copper wire of 100 turns is wrapped around a wooden cylindrical core of the cross-sectional area \(24 \, cm^2\). The two ends of the wire are connected to a resistor. The total resistance in the circuit is \(12 \, \Omega\). If an externally applied uniform magnetic field is directed in the core along its axis changes from \(1.5 \, T\) in the opposite direction to \(1.5 \, T\) in the same direction, the charge flowing through a point in the circuit during the change of magnetic field is _____________ mC.

(1) 6 mC
(2) 12 mC
(3) 15 mC
(4) 20 mC

Correct Answer:(1) 6 mC
View Solution

Question 27:

A bi convex lens of focal length 10 cm is cut in two identical parts along a plane perpendicular to the principal axis. The power of each lens after cut is _______ D.

Correct Answer: 10 D

View Solution

Solution: When a biconvex lens is cut into two identical parts along a plane perpendicular to the principal axis, each half behaves as a plano-convex lens. The focal length of each plano-convex lens will be twice the focal length of the original biconvex lens.
Given, focal length of biconvex lens, f = 10 cm
Focal length of each plano-convex lens, f' = 2f = 2 x 10 = 20 cm
Power of each lens after cut, P' = ¹⁄_f' (in meters)
P' = ¹⁄_0.2 = 5 D
Now, the actual power of the biconvex lens is P = ¹⁄_f = ¹⁄_0.1 = 10 D
Since, a biconvex lens cut perpendicularly to the principal axis yields two plano-convex lenses and the focal length gets doubled in each case, hence, the power gets halved. Therefore, the power of each lens after cut is 10 D.

Quick Tip: When a lens is cut perpendicular to the principal axis, the focal length doubles, and the power becomes half.

Question 28:

Three point charges \(q = -2q\) and \(2q\) are placed on x-axis at a distance \(x = 0\), \(x = \frac{2}{3} R\) and \(x = R\) respectively from origin as shown. If \(q = 2 \times 10^{-4} \, C\) and \(R = 2 \, cm\), the magnitude of net force experienced by the charge \(-2q\) is \underline{\hspace{3cm N.

(1) 5440 N
(2) 54400 N
(3) 5400 N
(4) 440 N

Correct Answer:(2) 54400 N
View Solution

Question 29:

An atom absorbs a photon of wavelength \(500 \, nm\) and emits another photon of wavelength \(600 \, nm\). The net energy absorbed by the atom in this process is \(3 \times 10^{-4}\) eV. The value of \(h\) is \underline{\hspace{3cm.

(1) \(6.6 \times 10^{-34} \, J\)
(2) \(6.6 \times 10^{-31} \, J\)
(3) \(4.12 \times 10^{-34} \, J\)
(4) \(4.12 \times 10^{-32} \, J\)

Correct Answer:(3) \(4.12 \times 10^{-34} \, \text{J}\)
View Solution

Question 30:

A car accelerates from rest to \(2 \, m/s\). The energy spent in this process is \(E_1\). The energy required to accelerate the car from \(1 \, m/s\) to \(2 \, m/s\) is \(E_2\). The value of \(E_1\) is \underline{\hspace{3cm.

(1) 1 J
(2) 2 J
(3) 3 J
(4) 4 J

Correct Answer:(2) 2 J
View Solution

JEE Main 2023 Physics Paper Analysis April 13 Shift 2

JEE Main 2023 Physics Paper Analysis for the exam scheduled on April 13 Shift 2 is available here. Candidates can check subject-wise paper analysis for the exam scheduled on April 13 Shift 2 here along with the topics with the highest weightage.

JEE Main 2023 Physics Paper Analysis April 13 Shift 2

JEE Main 2023 Physics Question Paper Pattern

Feature	Question Paper Pattern
Examination Mode	Computer-based Test
Exam Language	13 languages (English, Hindi, Assamese, Bengali, Gujarati, Kannada, Malayalam, Marathi, Odia, Punjabi, Tamil, Telugu, and Urdu)
Exam Duration	3 hours
Sectional Time Limit	None
Physics Marks	100 marks
Total Number of Questions Asked	20 MCQs + 10 Numerical Type Questions
Total Number of Questions to be Answered	20 MCQs + 5 Numerical Type Questions
Marking Scheme	+4 for each correct answer
Negative Marking	-1 for each incorrect answer

Also Check:

JEE Main Physics Question Paper Pattern	JEE Main Chapter-wise Weightage

JEE Main Previous Year Question Paper

JEE Main 2022 Question Paper	JEE Main 2021 Question Paper	JEE Main 2020 Question Paper
JEE Main 2019 Question Paper	JEE Main 2018 Question Paper	JEE Main 2017 Question Paper

JEE Main 2023 Physics April 13 Shift 2 Question Paper with Solution PDF- Download Here

JEE Main 2023 Physics Question Paper April 13 Shift 2 PDF

JEE Main 2023 Physics Questions with Solutions

Section – A

Section – B

JEE Main 2023 Physics Paper Analysis April 13 Shift 2

JEE Main 2023 Physics Question Paper Pattern

JEE Main Previous Year Question Paper

JEE Main Questions

1.
$2.8 \times 10^{-3}$ mol of CO$_2$ is left after removing $10^{21}$ molecules from its $x$ mg sample. The mass of CO$_2$ taken initially is: Given: $N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}$

2.
The mass of iron converted into \(Fe_3O_4\) by the action of \(18\) g of steam is: (Given: Molar mass of H, O and Fe are \(1, 16\) and \(56\) g mol\(^{-1}\) respectively). Assume iron is present in excess.

3.
One side of an equilateral prism is painted by a transparent material of refractive index \( n_2 \). The refractive index of prism is 1.6. The minimum value of \( n_2 \) required for total internal reflection from the painted face is _______.

5.
Find sum up to 8 terms of the series
\[ \frac{1^3}{1}+\frac{1^3+2^3}{1+3}+\frac{1^3+2^3+3^3}{1+3+5}+\cdots \]

6.
The number of critical points of the function} \[ f(x)= \begin{cases} \dfrac{|\sin x|}{x}, & x\neq0\\ 1, & x=0 \end{cases} \] in the interval \((-2\pi,2\pi)\) is equal to:

Comments

SUBSCRIBE TO OUR NEWS LETTER

JEE Main 2023 Physics Question Paper April 13 Shift 2 PDF

JEE Main 2023 Physics Questions with Solutions

Section – A

Section – B

JEE Main 2023 Physics Paper Analysis April 13 Shift 2

JEE Main 2023 Physics Question Paper Pattern

JEE Main Previous Year Question Paper

JEE Main Questions

1.$2.8 \times 10^{-3}$ mol of CO$_2$ is left after removing $10^{21}$ molecules from its $x$ mg sample. The mass of CO$_2$ taken initially is: Given: $N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}$

2.The mass of iron converted into \(Fe_3O_4\) by the action of \(18\) g of steam is: (Given: Molar mass of H, O and Fe are \(1, 16\) and \(56\) g mol\(^{-1}\) respectively). Assume iron is present in excess.

3.One side of an equilateral prism is painted by a transparent material of refractive index \( n_2 \). The refractive index of prism is 1.6. The minimum value of \( n_2 \) required for total internal reflection from the painted face is _______.

5.Find sum up to 8 terms of the series \[ \frac{1^3}{1}+\frac{1^3+2^3}{1+3}+\frac{1^3+2^3+3^3}{1+3+5}+\cdots \]

6.The number of critical points of the function} \[ f(x)= \begin{cases} \dfrac{|\sin x|}{x}, & x\neq0\\ 1, & x=0 \end{cases} \] in the interval \((-2\pi,2\pi)\) is equal to:

Comments

SUBSCRIBE TO OUR NEWS LETTER

1.
$2.8 \times 10^{-3}$ mol of CO$_2$ is left after removing $10^{21}$ molecules from its $x$ mg sample. The mass of CO$_2$ taken initially is: Given: $N_A = 6.02 \times 10^{23}\,\text{mol}^{-1}$

2.
The mass of iron converted into \(Fe_3O_4\) by the action of \(18\) g of steam is: (Given: Molar mass of H, O and Fe are \(1, 16\) and \(56\) g mol\(^{-1}\) respectively). Assume iron is present in excess.

3.
One side of an equilateral prism is painted by a transparent material of refractive index \( n_2 \). The refractive index of prism is 1.6. The minimum value of \( n_2 \) required for total internal reflection from the painted face is _______.

5.
Find sum up to 8 terms of the series
\[ \frac{1^3}{1}+\frac{1^3+2^3}{1+3}+\frac{1^3+2^3+3^3}{1+3+5}+\cdots \]

6.
The number of critical points of the function} \[ f(x)= \begin{cases} \dfrac{|\sin x|}{x}, & x\neq0\\ 1, & x=0 \end{cases} \] in the interval \((-2\pi,2\pi)\) is equal to: