List of top Questions asked in JEE Main- 2025

When an object is placed 40 cm away from a spherical mirror an image of magnification $\frac{1}{2}$ is produced. To obtain an image with magnification of $\frac{1}{3}$, the object is to be moved:

A sinusoidal wave of wavelength 7.5 cm travels a distance of 1.2 cm along the x-direction in 0.3 sec. The crest P is at $ x = 0 $ at $ t = 0 $ sec and maximum displacement of the wave is 2 cm. Which equation correctly represents this wave?

The number of non-empty equivalence relations on the set $\{1,2,3\}$ is :

A series LCR circuit is connected to an alternating source of emf $ E $. The current amplitude at resonance frequency is $ I_0 $. If the value of resistance $ R $ becomes twice of its initial value, then amplitude of current at resonance will be:

Which one of the following is the correct dimensional formula for the capacitance in F? M, L, T, and C stand for unit of mass, length, time, and charge.

X g of nitrobenzene on nitration gave 4.2 g of m-dinitrobenzene. X =_____ g. (nearest integer) [Given : molar mass (in g mol$^{-1}$) C : 12, H : 1, O : 16, N : 14]

The function $ f: (-\infty, \infty) \to (-\infty, 1) $, defined by \[ f(x) = \frac{2^x - 2^{-x}}{2^x + 2^{-x}}, \] is:

The term independent of $ x $ in the expansion of $$ \left( \frac{x + 1}{x^{3/2} + 1 - \sqrt{x}} \cdot \frac{x + 1}{x - \sqrt{x}} \right)^{10} $$ for $ x>1 $ is:

An ideal gas has undergone through the cyclic process as shown in the figure. Work done by the gas in the entire cycle is _____ $ \times 10^{-1} $ J. (Take $ \pi = 3.14 $)

During the melting of a slab of ice at 273 K at atmospheric pressure:

Water falls from a height of 200 m into a pool. Calculate the rise in temperature of the water assuming no heat dissipation from the water in the pool. (Take $ g = 10 \, \text{m/s}^2 $, specific heat of water = 4200 J/(kg K))

The focus of the parabola $ y^2 = 4x + 16 $ is the center of the circle $ C $ with radius 5. If the values of $ \lambda $, for which $ C $ passes through the point of intersection of the lines $ 3x - y = 0 $ and $ x + \lambda y = 4 $, are $ \lambda_1 $ and $ \lambda_2 $, $ \lambda_1 <\lambda_2 $, then $ 12\lambda_1 + 29\lambda_2 $ is equal to:

The radius of the smallest circle which touches the parabolas $ y = x^2 + 2 $ and $ x = y^2 + 2 $ is

The most stable carbocation from the following is:

Let $( f(x) =$ $\int_0^{x^2 \frac{t^2 - 8t + 15}{e^t} dt}$, $x \in \mathbb{R}$. Then the numbers of local maximum and local minimum points of $ f $, respectively, are:

If $ \frac{1}{1^4} + \frac{1}{2^4} + \frac{1}{3^4} + ... \infty = \frac{\pi^4}{90}, $ $ \frac{1}{1^4} + \frac{1}{3^4} + \frac{1}{5^4} + ... \infty = \alpha, $ $ \frac{1}{2^4} + \frac{1}{4^4} + \frac{1}{6^4} + ... \infty = \beta, $ then $ \frac{\alpha}{\beta} $ is equal to:

A particle moves on a circular path of radius 1 m. Find its displacement when it moves from $ A \rightarrow B \rightarrow A $. Also, its distance are it moves from $ A \rightarrow B \rightarrow A $.

If $A_2B \;\text{is} \;30\%$ ionised in an aqueous solution, then the value of van’t Hoff factor $ i $ is:

A line passes through the origin and makes equal angles with the positive coordinate axes. It intersects the lines $ L_1 : 2x + y + 6 = 0 $ and $ L_2 : 4x + 2y - p = 0 $, $ p>0 $, at the points A and B, respectively. If $ AB = \frac{9}{\sqrt{2}} $ and the foot of the perpendicular from the point A on the line $ L_2 $ is M, then $ \frac{AM}{BM} $ is equal to

A uniform magnetic field of $ 0.4 $ T acts perpendicular to a circular copper disc $ 20 $ cm in radius. The disc is having a uniform angular velocity of $ 10\pi $ rad/s about an axis through its center and perpendicular to the disc. What is the potential difference developed between the axis of the disc and the rim? ($\pi = 3.14$)

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Knowing initial position $ x_0 $, and initial momentum $ p_0 $ is enough to determine the position and momentum at any time $ t $ for a simple harmonic motion with a given angular frequency $ \omega $.
Reason (R): The amplitude and phase can be expressed in terms of $ x_0 $ and $ p_0 $.
In the light of the above statements, choose the correct answer from the options given below:

A ball having kinetic energy $ KE $, is projected at an angle of $ 60^\circ $ from the horizontal. What will be the kinetic energy of the ball at the highest point of its flight?

A particle is subjected to simple harmonic motions as: $ x_1 = \sqrt{7} \sin 5t \, \text{cm} $ $ x_2 = 2 \sqrt{7} \sin \left( 5t + \frac{\pi}{3} \right) \, \text{cm} $ where $ x $ is displacement and $ t $ is time in seconds. The maximum acceleration of the particle is $ x \times 10^{-2} \, \text{m/s}^2 $. The value of $ x $ is:

Earth has mass 8 times and radius 2 times that of a planet. If the escape velocity from the earth is 11.2 km/s, the escape velocity in km/s from the planet will be:

Find output voltage in the given circuit.