What is the Bohr radius of hydrogen atom?

The Bohr radius (a0) is a physical constant, approximately equal to the most probable distance between the nucleus and the electron in a hydrogen atom in its ground state. It is named after Niels Bohr, due to its role in the Bohr model of an atom. Its value is 5.29177210903(80)×10−11 m.

What is muonic hydrogen atom?

Muonic hydrogen is an exotic hydrogen atom, where a muon (instead of an electron) orbits the proton. Because the muon is 200 times heavier than the electron, the muon’s orbit is 200 times closer to the proton in muonic hydrogen than that of the electron in regular hydrogen.

What are the radius and energy of the first Bohr orbit in a muonic hydrogen atom?

Hence the ground state energy of a muonic hydrogen atom is −2.81keV . Note : The first Bohr orbit is equal to 0.53×10−10m .

Are muonic atoms stable?

For example, electrons may be replaced by other negatively charged particles such as muons (muonic atoms) or pions (pionic atoms). Because these substitute particles are usually unstable, exotic atoms typically have very short lifetimes and no exotic atom observed so far can persist under normal conditions.

What is the minimum energy that must be given to H atom?

The minimum energy that must be given to a H atom in ground state so that it can emit an H, line in balmer series is. =-0.54+13.6=13.06eV.

How do you calculate the radius of Bohr’s orbit?

The allowed electron orbits in hydrogen have the radii shown. These radii were first calculated by Bohr and are given by the equation rn=n2ZaB r n = n 2 Z a B . The lowest orbit has the experimentally verified diameter of a hydrogen atom.

What is the formula to find radius of orbit?

Logic and Solution: Atomic number, Z is equal to 1. Hence the radius of nth orbit, rn = 0.529n2 Å.

What is the minimum energy that must be given to H atom in ground state?

Which is a bound state of a muonic hydrogen?

A muonic hydrogen is a bound state of a proton to a muon (instead of a proton and an electron as in the usual hydrogen). i) Use Bohr’s theory to calculate the energy levels of the muonic hydrogen.

Can a proton and a muon form a hydrogen atom?

Protons can form hydrogen atoms with muons as well as electrons. The puzzle is that the measured dimensions of the proton in a muonic hydrogen atom are smaller than than those of a proton in an electronic hydrogen atom.

How is a muon similar to an electron?

A muon is a particle identical to an electron except its mass is about 200 times larger. A muonic hydrogen is a bound state of a proton to a muon (instead of a proton and an electron as in the usual hydrogen).

How is the mass of an atom reduced when it is a muon?

Let particle 1 be the proton. When particle 0 is an electron the reciprocal of the reduced mass of the atom is proportional to 1+1/1836. When it is a muon the recirocal of reduced mass is proportional to 1/9+1/1836. This is a reduction to roughly 1/9.