An atom in an excited state has a chance of emitting a photon in . How long will it take for of a sample of excited atoms to decay?
The time taken for of a sample of excited atoms to decay is and excited atoms to decay are
We are given that atom in an excited state has a chance of emitting a photon in .
We need to find the time taken for of a sample of excited atoms to decay and excited atoms to decay.
We will use the formula , , here which is given to us.It is time taken in emitting of photon. We need to find ,
By taking logarithm on both sides,
By solving we get ,
Now we will find time during which ;
We will use the equation ,
We will take logarithm on both sides,
We will get by solving the equation ,
Three electrons are in a one-dimensional rigid box (i.e., an infinite potential well) of length . Two are in the state and one is in the state. The selection rule for the rigid box allows only those transitions for which is odd.
a. Draw an energy-level diagram. On it, show the filled levels and show all transitions that could emit a photon.
b. What are all the possible wavelengths that could be emitted by this system?
94% of StudySmarter users get better grades.Sign up for free