Atoms

If an electron is moving in the nth orbit of the hydrogen atom, then its velocity (v_n) for the nth orbit is given as :

Which level of the single ionized carbon has the same energy as the ground state energy of hydrogen atom?

A particle of mass 200MeV/c² collides with a hydrogen atom at rest. Soon after the collision the particle comes to rest, and the atom recoils and goes to its first excited state. The initial kinetic energy of the particle (in eV) is N/4. The value of N is: (Given the mass of the hydrogen atom to be 1GeV/c²)

Find the binding energy per neucleon for ¹²⁰₅₀Sn. Mass of proton mₚ = (A)1.00783U, mass of neutron mₙ = (A)1.00867U and mass of tin nucleus msn = 119.902199U. (take 1U = 931MeV)

In photoelectric effect experiment, the graph of stopping potential V versus reciprocal of wavelength obtained is shown in the figure. As the intensity of incident radiation is increased:

In the line spectra of hydrogen atom, difference between the largest and the shortest wavelengths of the Lyman series is 304Å. The corresponding difference for the Paschan series in Å is:

The radius $R$ of a nucleus of mass number $A$ can be estimated by the formula $R=\left(1.3*{10}^{-15}\right)A^{1/3}\mathrm{m}$ . It follows that the mass density of a nucleus is of the order of: $\left({\mathrm{M}}_{\text{prot}}={\mathrm{M}}_{\text{neut.}}\simeq 1.67*{10}^{-27}\mathrm{k}\mathrm{g}\right)$