List of top Questions asked in JEE Main

A pair of dice is rolled 5 times. let getting a total of 5 in a single throw is considered as success. If probability of getting atleast four success is $\frac{x}{3}$ then x is equal to

$I(x) = \int \frac{x^2(xsec^2x + tanx)}{(xtanx+1)^2} dx$. If $I(0)=1$ then $I(\frac{\pi}{4})$ is equal to

A solid sphere and a ring have equal masses and equal radius of gyration. If the sphere is rotating about its diameter and ring about an axis passing through and perpendicular to its plane, then the ratio of radius is $\sqrt{\frac{x}{2} }$ then find the value of x.

The weight of a body on the surface of the earth is 100 N. The gravitational force on it when taken at a height, from the surface of earth, equal to one-fourth the radius of the earth is:

Which of the following is not ambidentate ligand

The ratio of spin-only magnetic moment values $ \mu_{\text{eff}}[Cr(CN)_6]^{3-}/\mu_{\text{eff}}[Cr(H_2O)_6]^{3+} $ is_____

Let the line passing through the points P (2, –1, 2) and Q (5, 3, 4) meet the plane x – y + z = 4 at the point R. Then the distance of the point R from the plane x + 2y + 3z + 2 = 0 measured parallel to the line $\frac{x-7}{2}=\frac{y+3}{2}=\frac{z-2}{1}$ is equal to

Choose the incorrect statement from the given statements.

The potential energy of an electron is defined as U = $\frac 12$ mw²x² and follows Bohr’s law. Radius of orbit as function of n depends on? (w is same constant)

For two different photosensitive materials having work function and 2 respectively, are illuminated with light of sufficient energy to emit electrons. If the graph of stopping potential versus frequency is drawn, for these two different photosensitive materials the ratio of slope of graph for these two materials is

Element not present in Nessler’s reagent is

A proton with a kinetic energy of 2.0 eV moves into a region of uniform magnetic field of magnitude $\dfrac{\pi}{2} \times 10^{-3} \text{T}$. The angle between the direction of magnetic field and velocity of proton is 60°. The pitch of the helical path taken by the proton is \_\_\_\ cm.

The temperature of the body drops from 60°C to 40°C in 7 min. The surrounding temperature is 10°C. The temperature of the body drops from 40°C to T°C in 7 min. Find the value of T

Radius of the first orbit in H-atom is $a_0$. Then, de Broglie wavelength of electron in the third orbit is.

In which form does $BeCl_{2}$ exist in the solid state, vapor state and high temperature?
(1) Polymeric, Dimeric, Monomeric
(2) Dimeric, Polymeric, Monomeric
(3) Monomeric, Dimeric, Polymeric
(4) Polymeric, Monomeric, Dimeric

The sum of all values of $ \alpha $, for which the points whose position vectors are:

\[ \mathbf{r_1} = \hat{i} - 2\hat{j} + 3\hat{k}, \quad \mathbf{r_2} = 2\hat{i} - 3\hat{j} + 4\hat{k}, \quad \mathbf{r_3} = (\alpha+1)\hat{i} + 2\hat{k}, \quad \mathbf{r_4} = \hat{j} + 2\hat{k} \]

are coplanar, is equal to:

If $a ≠ ±b$ and are purely real, z ϵ complex number, $Re(az^{2}+bz)=a$ and $Re(bz^{2}+az)=b$ then number of value of z possible is

If gcd $ (m, n) = 1 $ and \[ 1^2 - 2^2 + 3^2 - 4^2 + \cdots + (2022)^2 - (2023)^2 = 1012 \, m^2 n \] then $ m^2 - n^2 $ is equal to:

Which one of the following elements will remain as liquid inside pure boiling water?

Ion having highest hydration enthalpy among the given alkaline earth metal ions is:

Two forces of magnitude A and $\frac{A}{2}$ act perpendicular to each other. The magnitude of the resultant force is equal to:

Among the statements:

XeF$_4$ reacts with SbF$_5$ to form:
\[ [\text{XeF}_m]^{n+}[\text{SbF}_y]^{z-} \] What is $m+n+y+z$?

A train is moving with a speed of $10 m/s$ towards a platform and blows a horn with frequency $400 Hz$. Find the frequency heard by a passenger standing on the platform. Take speed of sound = $310 m/s$.