List of practice Questions

The total number of atoms of all elements present in $ 1 $ mole of ammonium dichromate is

To dissolve 0.9 g metal, 100 mL of 1 N HCl is used. What is the equivalent weight of metal?

Which of the following has smallest number of molecules ?

A ball with charge $50 \,e$ is placed at the centre of a hollow spherical shell which has a net charge of $- 50\,e$ . What is the charge on the shells outer surface?

A charged particle is free to move in an electric field. It will travel

An electron initially at rest falls a distance of $1.5\, cm$ in a uniform electric field of magnitude $2 \times 10^4\, N/C$. The time taken by the electron to fall this distance is

An electron moving with the speed $5 \times 10^{6}$ per sec is shooted parallel to the electric field of intensity $1 \times 10^{3} \,N / C$. Field is responsible for the retardation of motion of electron. Now evaluate the distance travelled by the electron before coming to rest for an instant (mass of $e=9 \times 10^{-31} \,kg$, charge $\left.=1.6 \times 10^{-19} \,C \right)$

Charge $Q$ is distributed over a ring, then the force on charge $q$ placed at the centre of the ring will be

Electric field produced by an electron at a point is $E$. What will be electric field produced by $Li^{+++}$ at the same point if it is placed at position of electron ?

Let $E_{a}$ be the electric field due to a dipole in its axial plane distant $1$ and let $E _{ q }$ be the field in the equitorial plane distant $1 '$. The relation between $E _{ a }$ and $E _{q}$ is

Let there be a spherically symmetric charge distribution with charge density varying as $\rho\left(r\right) = \rho_{0} \left(\frac{5}{4}-\frac{r}{R}\right)$ upto $r = R$, and $\rho \left(r\right) = 0$ for $r > R$, where r is the distance from the origin. The electric field at a distance $r\left(r < R\right)$ from the origin is given by

The distance between two charges $6\,\mu\,C$ and $15\,\mu\,C$ is $2\,m$. At what point on the line joining the two, the intensity will be zero?

The electric flux for Gaussian surface $A$ that encloses the charged particles in free is (Given $q_1, = - 14 \, n \, C, q_2 = 78.85 \, n \, C, \, q_3 = - 56 \, n \, C) $

The figure shows some of the electric field lines corresponding to an electric field, The figure suggests

Two charged spherical conductors of radii $ {{R}_{1}} $ and $ {{R}_{2}} $ are connected by a wire. Then the ratio of surface charge densities of the spheres $ {{\sigma }_{1}}/{{\sigma }_{2}} $ is

Two identical conducting balls $A$ and $B$ have positive charges $q_1$ and $q_2$ respectively but $q_1 \ne q_2$ The balls are brought together so that they touch each other and then kept in their original positions. the force between them is

Two point charges $-q$ and $+q/2$ are situated at the origin and at the point $(a, 0, 0)$ respectively. The point along the $X$-axis where the electric field vanishes is

Under the action of a given coulombic force the acceleration of an electron is $2.5 \times 10^{22}\, m \,s^{-2}$. Then the magnitude of the acceleration of a proton under the action of same force is nearly

Let $ * $ be a binary operation on the set $ Q $ of rational numbers defined by $ a*b $ = $ \frac{ab}{4} $ . The identity with respect to this operation is

Let $ f : R $ - { $ \frac {5}{4} $ } $ \rightarrow R $ be a function defined as $ f(x) = \frac{5x}{4x+5} $ . The inverse of $ f $ is the map $ g : Range\,f\,\rightarrow R $ - { $ \frac {5}{4} $ } given by

With the increase of temperature, the surface tension of the liquid

In a homonuclear molecule, which of die following sets of orbitals is degenerate?

Consider the system of linear equations; $x_1 + 2x_2 + x_3 = 3$ $2x_1 + 3x_2 + x_3 = 3$ $3x_1 + 5x_2 + 2x_3 = 1 $ The system has

For the equations $ x + 2y + 3z = 1 $ , $ 2x + y + 3z = 2 $ , $ 5x + 5y + 9z = 4 $

If $B$ is a non-singular matrix and $A$ is a square matrix, then det $(B^{-1} AB)$ is equal to