Advertisements
Advertisements
Question
Calculate the minimum amount of energy which a gamma ray photon should have for the production of an electron and a positron pair..
Solution
The equation representing pair production is given by,
hv = -1β0 + 1β0
This equation follows Einstein's- mass energy relation. So, for this process to occur, energy of photon should be at least equal to the rest mass energy of electron and position.
Therefore hv = 2moc2 ...(Here mo is the rest mass energy of electron)
`= 2 xx 9.1 xx 10^-31 "kg" xx (3 xx 10^8)^2 ("ms"^-1)^2`
`= 2 xx 8.2 xx 106-14`J
`= (16.4 xx 10^-14)/(1.6 xx 10^-19 "J"//"eV")`
= 1.02 × 106 eV
= 1.02 MeV
APPEARS IN
RELATED QUESTIONS
Given the ground state energy E0 = - 13.6 eV and Bohr radius a0 = 0.53 Å. Find out how the de Broglie wavelength associated with the electron orbiting in the ground state would change when it jumps into the first excited state.
The ground state energy of hydrogen atom is −13.6 eV. What are the kinetic and potential energies of the electron in this state?
The total energy of an electron in the first excited state of the hydrogen atom is about −3.4 eV.
What is the potential energy of the electron in this state?
Obtain the first Bohr’s radius and the ground state energy of a muonic hydrogen atom [i.e., an atom in which a negatively charged muon (μ−) of mass about 207 me orbits around a proton].
A 12.9 eV beam of electronic is used to bombard gaseous hydrogen at room temperature. Upto which energy level the hydrogen atoms would be excited ?
Calculate the wavelength of the first member of Paschen series and first member of Balmer series.
Which transition corresponds to emission of radiation of maximum wavelength?
The Ionisation energy of hydrogen atom is 3.6 ev The ionisation energy of helium atom would be
Energy levels A, B, C of acertain atom corresponding to increasing value of energy, i.e., EA< E8 < Ee. If λ1, λ2 and λ3 are the wavelength of radiations corresponding to the transitions C to B, B to A and C to A respectively, which of the following statements is correct?
Radiation coming from transitions n = 2 to n = 1 of hydrogen atoms fall on He+ ions in n = 1 and n = 2 states. The possible transition of helium ions as they absorb energy from the radiation is ______.
The diagram shows the four energy levels of an electron in the Bohr model of the hydrogen atom. Identify the transition in which the emitted photon will have the highest energy.
