Advertisements
Advertisements
प्रश्न
Calculate the minimum amount of energy which a gamma ray photon should have for the production of an electron and a positron pair..
उत्तर
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
संबंधित प्रश्न
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.
A 12.5 eV electron beam is used to bombard gaseous hydrogen at room temperature. Upto which energy level the hydrogen atoms would be excited? Calculate the wavelengths of the first member of Lyman and first member of Balmer series.
A difference of 2.3 eV separates two energy levels in an atom. What is the frequency of radiation emitted when the atom makes a transition from the upper level to the lower level?
The total energy of an electron in the first excited state of the hydrogen atom is about −3.4 eV.
Which of the answers above would change if the choice of the zero of potential energy is changed?
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.
Draw the energy level diagram showing how the line spectra corresponding to Paschen series occur due to transition between energy levels.
A Carnot engine absorbs 1000 J of heat energy from a reservoir at 127°C and rejects 600 J of heat energy during each cycle. The efficiency of the engine and temperature of the sink will be:
Energy of an electron at infinity from nucleus is ______.
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?
Which of the following is true for X-rays?
