JEE Main Question Paper 15 April 2023: Today, Day 7 of JEE Main 2023 Session 2, was last day of the exam and its first shift has now concluded at 12 noon while shift 2 has been conducted from 3 PM to 6 PM. Today's JEE Main Shift 1 was Moderate again and had a similar weightage distribution to that of the previous shifts. Physics was easy to moderate again with direct questions, Chemistry was moderate, and Mathematics was moderate but lengthy. Similiar reviews were also shared on the evening Shift 2.

The memory-based JEE Main Question Paper for 15 April 2023 Shift 1 and 2 can be checked and downloaded here. JEE Main 2023 April 15 exam memory-based questions are collected from different coaching institutes and students. JEE Main response sheet date 2023 Session 2 is expected to be April 16 or 17. JEE Main result date 2023 Session 2 is expected to be April 21 (within 5 days after the exam). 

Reliable Kota JEE Main Question Paper 15 April 2023 Shift 1

Here are the PDF links to download JEE Main Reliable Kota question paper 15 April 2023 Shift 1:

Resonance JEE Main Question Paper 15 April 2023 Shift 1

Here are the PDF links to download JEE Main Resonance question paper 15 April 2023 Shift 1:

JEE Main Question Paper 15 April 2023 Shift 1 PDF Download

The PDF of JEE Main 15 April 2023 Shift 1 question paper released by different coaching institutes will be updated here as and when available.

Also Read | Expected Rank for 99 to 100 Percentile in JEE Main 2023

Memory-based JEE Main Question Paper 15 April 2023 Shift 1

The Shift 1 exam of JEE Main 2023 April 15 concluded at 12 PM, and the memory-based questions are now updated here.

Physics

1. A particle is released from a height equal to the radius of Earth. Find its velocity when it strikes the ground.
2. A variable force F = 5Kx N acts on a body moving along the x-axis. Find the work done by this force in displacing the body from x = 2 m to x = 5 m (K is a constant).
3. If a particle's position changes with time as r = t² - 2t (m). Find the velocity at t = 2 sec.
4. If the position vector of a particle is given by (t) = 8tî + 5t²ĵ + 6k, then the correct statement about the acceleration of the particle is
   i. It is along the positive y-axis
   ii. It is along the positive x-axis
   iii. It is equally inclined to the x and y-axis
   iv. It is along the positive z-axis
5. If the de-Broglie wavelength when the kinetic energy is E is λ. Find the wavelength at E/4.
6. In a single slit diffraction experiment λ = 600 nm, if at θ = 30°, the first minima is formed. Find the width of the slit (α) in µm.
7. Match the pairs.
   Column I:
   A. Microwaves, B. Ultraviolet rays, C. X-rays, D. Infrared waves
   Column II:
   i. 1 nm to 400 nm, ii. 1 nm to 1 pm, iii. 2.5 µm to 750 nm, iv. 1 µm to 1 mm.
8. The height of receiving and transmitting antennae in the communication of a signal are 245 m and 180 m respectively. Find the maximum distance between the two antennae for proper communication.
9. Three capacitors of capacitance 3 µC, x µC and 2 µC are connected in parallel across a 10 V source. Find the value of x. 
10. Two identical particles each of mass m, move in a circular path due to their own mutual gravitational force. Find the velocity of the particle if the radius of the circular path is a.

Chemistry

1. C₆H₅NH₂ → (in presence of NaNO₂ + HCl at 0-5°C ) → A → (in presence of N,N-Dimethylaniline) → B. Identify B.
2. Calculate the number of P-O-P bonds in H₃PO₄, P₄O₁₀, and (HPO₃)₃.
3. Calculate the ratio of the radii of the second and third Bohr's orbits in H-atom.
4. Find the lowering of vapour pressure in mm Hg of 30% of an aqueous solution of glucose. Assume P_H2O = 760 mm of Hg.
5. How many of the following have 10 electrons?
   O^2-, O, Al³⁺, Al, F, F^-, Mg²⁺, Mg, N^3-
6. How many of the following statements are correct :
   i. Conductivity (K) decreases with an increase in dilution, for both strong and weak electrolytes.
   ii. Molar conductivity increases with an increase in dilution for both strong and weak electrolytes.
   iii. Molar conductivity increases with an increase in 'a' for a weak electrolyte.
   iv. Change in molar conductivity is the same for both strong and weak electrolytes with the increase in dilution.
7. Identify if the following statement(s) is/are correct/incorrect.
   Statement I: According to Bohr's Model, the angular momentum is Quantized for stationary orbits.
   Statement II: Bohr's Model doesn't follow Heisenberg's Uncertainty Principle.
8. Identify the major project when C₆H₅Cl reacts in presence of CH₃COCl and anhydrous AlCl₃.
9. In which of the following cities, the photochemical smog is found to be minimum?
   i. Mumbai
   ii. New Delhi
   iii. Jammu & Kashmir
   iv. Kolkata
10. What is the oxidation state of Cr in Chromyl Chloride?
11. What will be the change in the oxidation state of Mn when KMnO₄ and KI react in acidic medium?

Mathematics

1. f ( x ) = log ( 4x² + 11x + 9 ) + sin^-1( 4x + 3 ) + cos^-1((10x + 6) / 3)
   If the domain of f ( x ) = [ α, β ], then find | 10 ( α - β ) |.
2. Find the equivalent statement of p ∧ ( q ∧ ( p ∧ q) ).
   i. Tautology
   ii. Fallacy
   iii. Contingency
   iv. None of these
3. Find the number of solutions of the equation:
   x | x | + 5 | x + 2 | + 6 = 0
4. Find the orthocentre of the triangle having vertices as A(1,2), B(3, -4), and C(0,6).
5. How many three-digit numbers can be formed which are divisible by 3 using the digits 1,3,5, and 8? Repetition is allowed.
6. If n ∈ [10, 100] and n ∈ N, then how many values of such n are possible where 3ⁿ - 3 is divisible by 7?
7. Matrix A having an order of m has the value of its determinant as m^-n. Find the value of det(n adj (adj (mA))).
8. The mean and variance of 15 observations is 20 and 64 respectively. If 55 is wrongly read as 40 as one of the observations, then find the correct variance.
9. The value of the area bounded by the curve 2y² = 3x and the line x + y = 3 outside the circle (x − 3)² + y² = 2 and above X-axis is A. Find the value of 4(π +44).
10. There are 5 black and 3 white balls in a bag. A die is rolled and the balls picked are as per the number appearing on the die. What is the probability that all balls are white?

CollegeDekho JEE Main Question Paper 15 April 2023 Shift 1

Download here the PDF of the above questions for the morning shift:

Also Read |

JEE Main Question Paper 15 April 2023 Shift 2 PDF Download

The PDF of JEE Main 15 April 2023 Shift 2 question paper released by different coaching institutes will be updated here as and when available.

For the latest Education News, keep visiting CollegeDekho. You can also write to us at our E-Mail ID news@collegedekho.com.