JEE Main PYQs to Boost you up : 10 New Question

Here in this blog, you are given JEE Main PYQs, which will help you to enhance your productivity and give better results.

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Preparing for the JEE (Joint Entrance Examination) is a journey filled with challenges, determination, and a relentless quest for excellence. One of the most effective strategies to crack this highly competitive exam is solving Previous Year Questions (PYQs). These questions help you understand the exam’s pattern and provide a clear insight into the types of problems frequently asked.

In this, we’ve curated a comprehensive collection of JEE PYQs across Physics, Chemistry, and Mathematics, carefully selected to sharpen your problem-solving skills and boost your confidence. Each question tests your conceptual clarity, analytical thinking, and time management—qualities essential for acing the JEE, with JEE Main PYQs.

Dive in, practice rigorously, and take one step closer to achieving your dream of securing a seat in the prestigious IITs, NITs, and other top engineering colleges. Let’s turn preparation into perfection with the help of JEE Main PYQs.

The questions provided in this blog are meticulously selected from previous years’ JEE Main examinations, covering all three subjects: physics, chemistry, and mathematics. Each question serves a specific purpose in preparing you for the challenges of the JEE. Below are the JEE Main PYQs, which will help you better.

JEE Main PYQs

Mathematics:

1. Evaluate the integral: \[ \int_{0}^{\pi} \sin^3x \, dx \] 2. Solve the limit: \[ \lim_{x \to 0} \frac{\tan x – \sin x}{x^3} \] 3. Find the general solution of the differential equation: \[ \frac{dy}{dx} + y \tan x = \sin x \] 4. Solve for $x$: \[ e^x + e^{-x} = 5 \] 5. Find the area enclosed by the parabola $y^2 = 4x$ and the line $y = 2x – 2$. 6. Solve the determinant: \[ \begin{vmatrix} 1 & 2 & 3 \\ 4 & 5 & 6 \\ 7 & 8 & 9 \end{vmatrix} \] 7. A particle moves along a curve given by $y = x^2 + 3x$. Find the point where the tangent is parallel to the $x$-axis. 8. Find the sum of the infinite series: \[ 1 + \frac{1}{2} + \frac{1}{4} + \frac{1}{8} + \ldots \] 9. Solve the equation: \[ \cos^2x – \sin^2x = \frac{1}{2} \quad \text{in} \quad [0, 2\pi] \] 10. Evaluate the integral: \[ \int_{0}^{\infty} e^{-x^2} \, dx \]

Chemistry:

Derive the expression for the rate constant of a second-order reaction.
Calculate the entropy change when 1 mole of water is vaporized at 373 K (ΔHvap = 40.79 kJ $/mol$ ).
Explain the mechanism of the reaction between acetaldehyde and ammonia.
The ionization energy of hydrogen is Calculate the energy required to excite an electron from the state to the $n$ state.
Derive the integrated rate law for a first-order reaction.
A 5 g sample of is heated strongly until it is completely decomposed. Calculate the volume of $CO_{2}$ evolved at STP.
For a reaction $2 A + B \to C$ , the rate law is given by . If the concentration of A is doubled and B is halved, how will the rate change?
The equilibrium constant for a reaction is $10$ at. If ΔH=40 kJ $/mol$ , predict the change in at using the Van’t Hoff equation.
Calculate the pH of a solution.
A sample of $N_{2}$ gas occupies a volume of $300 K$ and 1 atm. Calculate the volume of the gas at and 2 atm using the ideal gas equation.

Physics:

A ball is dropped from a height of 50 m onto a hard surface. It rebounds to a height of 25 m. Calculate the coefficient of restitution.
A particle is moving in a circular orbit under the influence of an inverse square force field. Derive the expression for its orbital velocity.
A block of mass 10 kg is sliding down an inclined plane of angle 30° with a friction coefficient of 0.2. Calculate the acceleration of the block.
An LC circuit has an inductance of and a capacitance of $20 μ F$ . Find the frequency of oscillation.
A car moving at 60 km/h is brought to rest in 5 seconds. Calculate the average retardation and the distance covered during this interval.
Derive the expression for the electric field at a point on the axial line of a dipole.
A rod of length and mass is pivoted at one end. It is released from a horizontal position. Find its angular velocity when it passes through the vertical position.
A light ray is incident on a prism of refractive index at an angle of . Calculate the angle of deviation.
A particle of mass $m$ is confined to move in a one-dimensional box of length $L$ . Derive the expression for the energy levels of the particle.
A charged particle enters a uniform magnetic field at an angle of $60°$ with the field. Find the radius of the helical path formed by the particle.

Here in this blog, you are provided JEE Main PYQs, In conclusion, practicing previous years’ JEE Main question papers is an indispensable part of your preparation journey. It not only familiarizes you with the exam pattern but also helps in identifying key topics and mastering time management. By consistently solving these papers and analyzing your performance, you can bridge knowledge gaps and build confidence for the actual exam. Remember, success in JEE Main is not just about hard work but also about smart work. Utilize these resources wisely, and you’ll be one step closer to achieving your dream engineering college. All the best!