List of top Questions asked in JEE Main

Fat soluble vitamin is:
Find out magnitude of work done in the process ABCD (in kJ).
Let a circle \( C \) with radius \( r \) passes through four distinct points \( (0, 0), (k, 3k), (2, 3), (-1, 5) \), such that \( k \neq 0 \), then \( (10k + 2r^2) \) is equal to:
In a resonance tube experiment at one end, resonance is obtained at two consecutive lengths \( l_1 = 100 \, \text{cm} \) and \( l_2 = 140 \, \text{cm} \). If the frequency of the sound is 400 Hz, the velocity of sound is:
Amount of magnesium (Mg) (in mg) required to liberate 224 mL of \( H_2 \) gas at STP, when reacted with HCl.
Evaluate the integral \( I = \int_0^\pi \frac{4 \cos^2 x + \sin^2 x}{8x} \, dx \).
The ratio of intensities of two coherent sources is 1:9. The ratio of the maximum to the minimum intensities is:

Match the following List-I with List-II and choose the correct option: List-I (Compounds) | List-II (Shape and Hybridisation) (A) PF\(_{3}\) (I) Tetrahedral and sp\(^3\) (B) SF\(_{6}\) (III) Octahedral and sp\(^3\)d\(^2\) (C) Ni(CO)\(_{4}\) (I) Tetrahedral and sp\(^3\) (D) [PtCl\(_{4}\)]\(^{2-}\) (II) Square planar and dsp\(^2\)

An ideal gas with an adiabatic exponent 1.5, initially at 27°C is compressed adiabatically from 800 cc to 200 cc. The final temperature of the gas is:
A particle is released from height \(s\) above the surface of the earth. At a certain height its K.E is 3 times of P.E. The height from the surface of the earth and the speed of the particle at the instant are respectively:
Which of the following ions shows spin only magnetic moment of 4.9 B.M.?
Which of the following has the highest atomic number?

If \[ \frac{dy}{dx} + 2y \sec^2 x = 2 \sec^2 x + 3 \tan x \cdot \sec^2 x \] and

and \( f(0) = \frac{5}{4} \), then the value of \[ 12 \left( y \left( \frac{\pi}{4} \right) - \frac{1}{e^2} \right) \] equals to:

If \( \alpha + i\beta \) and \( \gamma + i\delta \) are the roots of the equation \( x^2 - (3-2i)x - (2i-2) = 0 \), \( i = \sqrt{-1} \), then \( \alpha\gamma + \beta\delta \) is equal to:
What are the units of viscosity, intensity of wave, and pressure gradient?
If \( y = y(x) \) is the solution of the differential equation, \[ \sqrt{4 - x^2} \frac{dy}{dx} = \left( \left( \sin^{-1} \left( \frac{x}{2} \right) \right)^2 - y \right) \sin^{-1} \left( \frac{x}{2} \right), \] where \( -2 \leq x \leq 2 \), and \( y(2) = \frac{\pi^2 - 8}{4} \), then \( y^2(0) \) is equal to:
The domain of the function \[ f(x) = \frac{1}{\sqrt{10 + 3x - x^2}} + \frac{1}{\sqrt{x + |x|}} \] is \( (a, b) \). Then \( (1 + a^2) + b^2 \) is:
Two water drops each of radius \( r \) coalesce to form a bigger drop. If \( T \) is the surface tension, the surface energy released in this process is:
If \( \theta \in \left[ -\frac{7\pi}{6}, \frac{4\pi}{3} \right] \), then the number of solutions of the equation \[ \sqrt{3} \csc^2 \theta - 2 (\sqrt{3} - 1) \csc \theta - 4 = 0 \] is:
If \[ \lim_{x \to 0} \frac{\cos(2x) + a \cos(4x) - b}{x^4} \] is finite, then \( a + b = \) __.
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 \( A \rightarrow B \rightarrow A \).
An equilateral prism is made of a material of refractive index \( \sqrt{2} \). Find the angle of incidence for minimum deviation of the light ray.
The moment of inertia of a ring of mass \( M \) and radius \( R \) about an axis passing through a tangential point in the plane of ring is:
Correct order of electronegativity in below elements:
What is the dimensional formula of \( \frac{1}{\mu_0 \epsilon_0} \) (where \( \mu_0 \) is permeability and \( \epsilon_0 \) is permittivity of free space)?