Question

If the energy of the n = 1 state is E1 = 4 eV, after what time t does the wave function come back to the form described at t = 0 (apart from an arbitrary phase factor)?

Answer 1

The time is
`3.4*10^(-16)\ s`

Step-by-step explanation:

Given that,

Number of energy level n= 1

Energy E₁=4 eV

We need to calculate the time period

Using formula of time period

`T=(1)/(f)`

`T=(h)/(E_(2)-E_(1))`

Where, E = energy

`E_(2)=4E_(1)`

h = Planck constant

Put the value into the formula

`T=(6.63*10^(-34))/(4E_(1)-E_(1))`

`T=(6.63*10^(-34))/(3E_(1))`

`T=(6.63*10^(-34))/(3*4*1.6*10^(-19))`

`T=3.4*10^(-16)\ s`

Hence, The time is
`3.4*10^(-16)\ s`