The de-Broglie wavelength of an electron in the first Bohr orbit is 

The frequency of 1st line of Balmer series in ${\mathrm{H}}_2$ atom is ${\mathrm{v}}_0$. The frequency of line emitted by singly ionised He atom is

When the electron in the hydrogen atom jumps from 2nd orbit to 1st orbit, the wavelength of radiation emitted is $\mathrm{\lambda }$. When the electrons jump from 3rd orbit to 1st orbit, the wavelength of emitted radiation would be

Which of the following transition will have shortest emission wavelength ?

If the binding energy of the electron in a hydrogen atom is 13.6 eV, the energy required to remove the electron from the first excited state of ${\mathrm{Li}}^{++}$ is 

Which state of triply ionised Beryllium $\left({\mathrm{Be}}^{+++}\right)$ has the same orbital radius as that of the ground state of hydrogen

The ratio of areas within the electron orbits for the first excited state to the ground state for hydrogen atom is

Taking Rydberg’s constant ${\mathrm{R}}_{\mathrm{H}}=1.097\times {10}^7 \mathrm{m}$ first and second wavelength of Balmer series in hydrogen spectrum is

The kinetic energy of electron in the first Bohr orbit of the hydrogen atom is 

In Bohr’s model of hydrogen atom, which of the following pairs of quantities are quantized 

The energy of the highest energy photon of Balmer series of hydrogen spectrum is close to

Which one of the relation is correct between time period and number of orbits while an electron is revolving in a orbit

An electron changes its position from orbit n = 4 to the orbit n = 2 of an atom. The wavelength of the emitted radiation’s is (R = Rydberg’s constant)

If the energy of a hydrogen atom in nth orbit is ${\mathrm{E}}_{\mathrm{n}}$, then energy in the nth orbit of a singly ionized helium atom will be 

The ground state energy of hydrogen atom is – 13.6 eV. What is the potential energy of the electron in this state

As the electron in Bohr orbit of Hydrogen atom passes from state n = 2 to n = 1 , the kinetic energy K and potential energy U change as 

The magnetic moment $\left(\mathrm{\mu }\right)$ of a revolving electron around the nucleus varies with principal quantum number n as

Bohr's atom model assumes 

The ratio of the speed of the electrons in the ground state of hydrogen to the speed of light in vacuum is

In a hypothetical Bohr hydrogen, the mass of the electron is doubled. The energy ${\mathrm{E}}_0$ and the radius ${\mathrm{r}}_0$ of the first orbit will be:
(${\mathrm{a}}_0$ is the Bohr radius) 

A double charged lithium atom is equivalent to hydrogen whose atomic number is 3. The wavelength of required radiation for exciting electron from first to third Bohr orbit in ${\mathrm{Li}}^{++}$ will be (Ionisation energy of hydrogen atom is 13.6eV) 

The ionisation potential of H-atom is  13.6 V. When it is excited from ground state by monochromatic radiations of $970.6 \stackrel{0}{\mathrm{A}}$, the number of emission lines will be (according to Bohr’s theory) 

Imagine an atom made up of a proton and a hypothetical particle of double the mass of the electron but having the same charge as the electron. Apply the Bohr atom model and consider all possible transitions of this hypothetical particle to the first excited level. The longest wavelength photon that will be emitted has wavelength $\mathrm{\lambda }$ (given in terms of the Rydberg constant R for the hydrogen atom) equal to

In the Bohr model of the hydrogen atom, let R, v and E represent the radius of the orbit, the speed of electron and the total energy of the electron respectively. Which of the following quantity is proportional to the quantum number n ?

The electric potential between a proton and an electron is given by $\mathrm{V}={\mathrm{V}}_0\ln \frac{\mathrm{r}}{{\mathrm{r}}_0}$ where ${\mathrm{r}}_0$ is a constant. Assuming Bohr’s model to be applicable, the variation of ${\mathrm{r}}_{\mathrm{n}}$ with n, n being the principal quantum number, is:

If the atom ${}_{100}{}^{257}\mathrm{Fm}$ follows the Bohr model and the radius of ${}_{100}{}^{257}\mathrm{Fm}$ is n times the Bohr radius, then the value of n is:

Consider a hydrogen like atom whose energy in nth exicited state is given by ${\mathrm{E}}_{\mathrm{n}}=-\frac{13.6 {\mathrm{Z}}^2}{{\mathrm{n}}^2}$ when this excited atom makes a transition from excited state to ground state, most energetic photons have energy ${\mathrm{E}}_{\max }$ = 52.224 eV and least energetic photons have energy ${\mathrm{E}}_{\min }$ = 1.224 eV. The atomic number of atom is

When a hydrogen atom is excited from ground state to first excited state then the incorrect option is– 

Electrons of mass m with de- Broglie wavelength λ fall on the target in an X-ray tube. The cut-off wavelength (λ_o) of the emitted X-ray is :

If an electron in a hydrogen atom jumps from the 3rd orbit to the 2nd orbit, it emits a photon of wavelength $\lambda$. When it jumps from the 4th orbit to the 3rd orbit, the corresponding wavelength of the photon will be