List of top Questions asked in JEE Main

Find out value of $C_p/C_y$ for an ideal gas undergoing reversible adiabatic process for which $P ∝ T^3$ is given

Which of the following is true regarding coagulation of egg:

Find out E cell of the given cell M | M²⁺ | | x^2-|x.|
Eº_M²⁺_{I M} = 0.34 V
E°_x|x^2- = 0.46 V

Find out the shortest wavelength of paschen series for H- atom

Which of the following d-block elements has maximum unpaired electron in ground state electronic configuration?

Match the column.

Column-I (Compounds)		Column-II (Configurations)
A.	TiCl4	(1)	e3t23
B.	FeO42-	(2)	e2t20
C.	FeCl42-	(3)	e2t23
D.	MnCl42-	(4)	e0t20

If y=\(\frac{2\cos2\theta+\cos\theta}{\cos3\theta+\cos^2\theta+\cos\theta}\), Then value of y''+y'+y is

A line L is perpendicular to y = 2x + 10 such that it touches the parabola y² = 4(x – g). Then the distance between point of contact and origin is equal to

A=\(\begin{bmatrix}   \alpha & \alpha & \alpha \\   \beta & \alpha & -\beta \\   -\alpha & \alpha & \alpha  \end{bmatrix}\)B is formed by co-factor of A matrix, then find out determinant of AB.

If |a| = 2, |b| = 3 and a = b × 2, then minimum value of \(|\hat{c} - a|^2\) is:

Area bounded by y = -2|x| and y = x|x| is:

Let image of point(8,5,7) with respect to line \(\frac{x-1}{2}=\frac{y+1}{3}=\frac{z-2}{5}\) is (α,β,γ). Then, α+β+γ is equal to______.

\(\left( \frac{3^{\frac{1}{5}}}{x}+\frac{2x}{5^\frac{1}{3}} \right)^{12}\)Find which term is constant.

A ball initially at rest, breaks into two masses m1 and m2 that move with speed 11 and v2 respectively as shown. The ratio of the kinetic energy of the right mass to the left mass is:

A ball of mass 150 gm moving with speed 20m/s is catched in 0.1 sec. find the average force exerted by the hands.

In an electron and a proton are having the same kinetic energy, find the ratio of their linear momentum. (mass of electron = 9.1 x 10^-31 kg, mass of proton = 1.67 × 10^-27 kg)

For the given logic circuit, the correct relation between the input (A, B) and the output (Y) is

From a rectangular sheet, the shaded portion is removed. Find the co- ordinates of the center of mass after the portion has been removed.

Which of the following is incorrect for paramagnetic materials?

At ${25}^{\circ }C$, the solubility product of $Mg(OH{)}_2$ is $1.0\times {10}^{-11}$. At which $pH$, will $M{g}^{2+}$ ions start precipitating in the form of $Mg(OH{)}_2$ from a solution of $0.001MM{g}^{2+}$ ions ?

A gas is kept in a vessel of volume 0.2 m³ at temperature 300 K and pressure 1 bar. The molar heat capacity of gas at constant volume is 5 cal/mol K. The heat (kcal) required to raise the temperature to 400 K is ______.

Which of the following graph correctly represent the variation $\delta =\frac{dV}{VdT}$ for an ideal gas at constant pressure?

The de Broglie wavelength of an electron moving with a velocity 1.5 × 10⁸ m/s is equal to that of a photon. The ratio of the energy of the photon to the kinetic energy of the electron is ______.

As per the Bohr model, the minimum energy (in eV) required to remove an electron from the ground state of a double ionized Li atom (Z = 3) is

A uniform solid sphere of radius $R$ has a spherical hole or radius $a$ in it. Find the position of its center of mass.