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

Answer:

The time is $3.4\times10^{-16}\ s$

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

$T=\dfrac{1}{f}$

$T=\dfrac{h}{E_{2}-E_{1}}$

Where, E = energy

$E_{2}=4E_{1}$

h = Planck constant

Put the value into the formula

$T=\dfrac{6.63\times10^{-34}}{4E_{1}-E_{1}}$

$T=\dfrac{6.63\times10^{-34}}{3E_{1}}$

$T=\dfrac{6.63\times10^{-34}}{3\times4\times1.6\times10^{-19}}$

$T=3.4\times10^{-16}\ s$

Hence, The time is $3.4\times10^{-16}\ s$