Atoms

In the formula for distance of closest approach, $r_0 = \frac{1}{4\pi\epsilon_0} \frac{2Ze^2}{K}$, what does $K$ represent?

What is the scattering angle for an alpha particle that is 'reflected' straight back towards the source?

The Geiger-Marsden experiment was performed in the year:

Which conservation laws hold true during the scattering of $\alpha$-particles?

If the $\alpha$-particle is replaced by a Beta particle (electron) with the same energy, what happens to the scattering behavior?

Which physical principle is used to derive the distance of closest approach?

What was the significance of the 1 in 8000 $\alpha$-particles being deflected by more than $90^{\circ}$?

An $\alpha$-particle projected towards a nucleus of $Z=50$ has a distance of closest approach $r_0$. If it is projected with the same velocity towards a nucleus of $Z=100$, the distance of closest approach will be:

The distance of closest approach $r_0$ for a $7.7$ MeV $\alpha$-particle on gold is about $3 \times 10^{-14}$ m. If we use a Silver foil ($Z=47$), the distance of closest approach for the same energy will be:

In the scattering experiment, if the source emits $\beta$-particles instead of $\alpha$-particles, the scattering at large angles will be:

The energy of the first excited state ($n=2$) of a hydrogen atom is:

What is the charge of a hydrogen nucleus?

The Pfund series transitions end at which energy level?

In Bohr's model, the orbits of the electrons are assumed to be:

The Bohr model of the atom is not applicable to which of the following?

In Bohr's model, if the distance of the electron from the nucleus is tripled, the potential energy of the system becomes:

The ratio of the potential energy of an electron in the $n=1$ orbit to its potential energy in the $n=2$ orbit of a hydrogen atom is:

The ratio of the longest wavelength in the Lyman series of Hydrogen to the shortest wavelength in the Balmer series of Hydrogen is:

What is the angular momentum of an electron in the third orbit of a hydrogen atom?

The radius of the inner-most electron orbit of a hydrogen atom is $5.3 \times 10^{-11}\text{ m}$. What is the radius of the $n=3$ orbit?

What is the principal quantum number of the final state for transitions in the Lyman series?

Which of the following constants is used to calculate the wavelengths of the hydrogen spectral lines?

The transition from $n=6$ to $n=3$ belongs to which series?

As $n$ tends to infinity ($n \to \infty$), the energy of the electron in a hydrogen atom becomes:

The wave number of the series limit of the Lyman series for the hydrogen atom is $R$. What is the wave number of the series limit of the Pfund series?

The frequency of the series limit of the Paschen series is $\nu_P$. The frequency of the series limit of the Balmer series is $\nu_B$. What is the ratio $\nu_P / \nu_B$?

The wavelength of the first line of the Lyman series is $1216 \text{ \AA}$. The wavelength of the second line is approximately:

An electron makes a transition from $n=3$ to $n=1$ in a hydrogen atom. The ratio of the recoil kinetic energy of the atom to the energy of the emitted photon is (where $M$ is the mass of the hydrogen atom and $c$ is the speed of light):

When an electron in a hydrogen atom moves from the $n=1$ orbit to the $n=\infty$ orbit, the work done is $13.6 \text{ eV}$. The work done to move it from $n=2$ to $n=3$ is:

The ratio of the maximum to minimum wavelength in the Balmer series of hydrogen is:

The transition from $n=3$ to $n=1$ belongs to which series?

The line spectrum of an element is often called its:

A continuous spectrum is produced by:

In the ground state, the electron is in the orbit with:

Which of the following series of the hydrogen spectrum lies in the far-infrared region?

The potential energy of an electron in the $n^{th}$ orbit is $U$. Then its kinetic energy $K$ is:

When an electron in hydrogen atom jumps from $n=4$ to $n=3$, the energy change is $\Delta E$. When it jumps from $n=3$ to $n=2$, the energy change is:

The wavelength of the first line of the Balmer series in Hydrogen is $6563$ \AA. The wavelength of the first line of the Lyman series in a hydrogen-like atom with $Z=2$ is:

Calculate the recoil energy of a Hydrogen atom when it emits a photon during a transition from $n=2$ to $n=1$. ($M = 1.67 \times 10^{-27}$ kg)

In the $n$-th orbit of a Hydrogen atom, the magnetic field produced by the revolving electron at the nucleus is proportional to:

The circumference of the $n^{th}$ orbit is $2\pi r_n$. Using de Broglie's relation, this is also:

If $n=5$, the angular momentum is:

The de Broglie wave of an electron in a Bohr orbit is a:

The angular momentum of an electron in the $2^{nd}$ orbit is:

De Broglie's explanation basically shows that the quantisation of angular momentum is a result of:

If an electron's wavelength is $\lambda = 2\pi r/5$, in which orbit is the electron?

As $n$ increases, the number of peaks and valleys in the electron's circular standing wave:

Which of the following represents the quantization of angular momentum as derived from de Broglie's hypothesis?

For a hydrogen atom, the circumference of the $n^{th}$ orbit can be expressed in terms of the de Broglie wavelength $\lambda$ and the Bohr radius $a_0$ as:

If the wavelength of an electron in the $n=1$ orbit is $\lambda_1$, the wavelength in the $n=n$ orbit $\lambda_n$ is given by: