Physics Test - ...

The energy of \(68 eV\) is required to excite a hydrogen-like atom from its second Bohr orbit to the third Bohr orbit. The nuclear charge is \(Ze\). What is the kinetic energy of the electron in the first Bohr orbit?

A muonic hydrogen atom is a bound state of a negatively charged muon (denoted by${\mu }^{-}$) of mass \(207 m_{e}\)and a proton, and the moon orbits around the proton. What is the radius of its first Bohr orbit and its ground state energy, respectively?

The first member of the Balmer series of hydrogen spectrum has a wavelength $6563\AA$Compute the wavelength of the second member.

Which energy state of triply ionized beryllium $\left(B{e}^{+++}\right)$ has the same electron orbital radius as that of the ground state of hydrogen? Given $Z$ for beryllium $=4$.

The wavelength of the first member of the Balmer series in the hydrogen spectrum is $6563\AA$. Calculate the wavelength of the first member of the Lyman series in the same spectrum.

Suppose an electron is attracted to the origin by a force$kr$ where $k$ is a constant and $r$ is the distance of the electron from the origin. By applying the Bohr model to this system, the radius of the $n^{th}$ orbital of the electron is found to be $r_n$ and the kinetic energy of the electron to be $T_n$. Which of the following is true?

Hard $X$-rays for the study of fractures in bones should have a minimum wavelength of ${10}^{–11}m$. The accelerating voltage for electrons in an $X$-ray machine should be:

The ionization energy of a hydrogen atom is $13.6eV$. Hydrogen atoms in the ground state are excited by monochromatic radiation of photon energy $12.1eV$. According to Bohr&aposs theory, the spectral line(s) emitted by hydrogen will be:

The electron in the hydrogen atom jumps from the excited state $(n=3)$ to its ground state $(n=1)$ and the photon thus emitted irradiates a photosensitive material. If the work function of the material is $5.1eV$, the stopping potential is estimated to be:

The ratio of longest wavelengths corresponding to Lyman and Balmer series in hydrogen spectrum is: