Bohr Atomic Model

If an object contains $n_1$ protons and $n_2$ electrons, the net charge on the object is

The radius of the first permitted Bohr orbit for the electron, in a hydrogen atom equals $0.51 \mathrm{\AA }$ and its ground state energy equals$- 13.6 \mathrm{eV}.$If the electron in the hydrogen atom is replaced by muon $\left({\mu }^{-1}\right)$) [Charge same as electron and mass $207 {\mathrm{m}}_{\mathrm{e}}$], the first Bohr radius and ground state energy will be

The radius of inner most orbit of hydrogen atom is $5.3\times {10}^{-11} \mathrm{m}$. What is the radius of third allowed orbit of hydrogen atom?

The angular momentum for the electron in Bohr’s orbit is $L$. If the electron is assumed to revolve in second orbit of hydrogen atom, then the change in angular momentum will be

A small particle of mass $m$ moves in such a way that its potential energy $U=\frac{1}{2}m{\omega }^2{r}^2$ where $\omega$ is constant and $r$ is the distance of the particle from origin. Assuming Bohr’s quantization of momentum and circular orbit, the radius of ${\mathrm{n}}^{\mathrm{th}}$ orbit will be proportional to

The energy of $H{e}^{+}$ in 2^nd orbit is $-13.6 \mathrm{eV}$ then energy of $B{e}^{+++}$ in $n=4$ is

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

Potential energy of an electron is defined as $U=\frac{1}{2}m{\omega }^2{x}^2$ and follows Bohr's law. Radius of orbit as function of $n$ depends on

Bohr model is applied to a particle of mass $m$ and charge $q$ moving in a plane under the influence of a transverse magnetic field $B$. The energy of the charged particle in the$nth$ level will be

Each of the statements below are based on the properties of electron orbits in a hydrogen atom.

Identify a statement that correctly satisfies the Bohr’s model of an atom.

In a hydrogen atom, the electron in a given orbit has total energy $-1.5 \mathrm{eV}$. The potential energy is

Let $T_1$ and $T_2$ be the energy of an electron in the first and second excited states of hydrogen atom, respectively. According to the Bohr's model of an atom, the ratio $T_1:T_2$ is :

If an electron is revolving in its Bohr orbit having Bohr radius of $0.529 \stackrel{\circ }{\mathrm{A}}$, then the radius of third orbit is

In accordance with the Bohr's model, the quantum number that characterises the Earth's revolution around the sun in an orbit of radius $1.5\times {10}^{11} \mathrm{m}$ with orbital speed $3\times {10}^4 \mathrm{m} {\mathrm{s}}^{-1}$ is [given mass of Earth $=6\times {10}^{24} \mathrm{kg}$]