What is the wavelength of the transition 400 2 in the hydrog

What is the wavelength of the transition 4.00 2 in the hydrogen-like ion O+7? and what method did you use to solve this?

Solution

For a H likeatom: we have the following relation:

1/   =   R* ( 1 / n₁² - 1 / n₂²)

1/   =   1.097* 10⁷ * ( 1 /2²   -   1 /4²)   

= 2.056875e+6

thus, the wavelength:

   = 4.86e-7

=  486*10^-9   m   

= 486 nm