I understand that electrons can possess only discrete amounts of energy so if an electron in an atom has to jump from a lower orbit to a higher orbit it will require a discrete amount of energy to the same. Say for example it requires 2 units of energy to jump to the higher level. So instead supplying that exact 2 units what if I supply a little less say 1.9999999999999... units, will it make the jump? If not does it need to be the exact 2 units?
1 Answers
Generally speaking you must provide the exact amount of energy needed for the transition from one energy state to another. That is, this is a physical phenomenon that requires a specific amount of energy. However, your question has some subtleties with regard to any practical situation.
Depending on your measuring devices, you may not have enough precision to detect a difference between 2 and 1.9999999999999, so it might appear that you could achieve the jump with less energy than required.
If you measuring devices are not calibrated correctly, they may not have the proper accuracy so again your measurement might suggest that you could make the jump with less energy.
If you are implying a value of 1.9999 with the 9's extending to infinity, than this - mathematically - is indeed equal to the value of 2.
- 778