We're asked to **determine the range for the resulting wavelength **if **m = 3** and **R = 1.097 x 10 ^{7}m^{-1}**

$\overline{)\frac{1}{\lambda}{=}{R}{\times}\left(\frac{1}{{2}^{2}}-\frac{{\displaystyle 1}}{{\displaystyle {m}^{2}}}\right)}$

1/λ = R ((1/2^{2})—(1/m^{2}))

R= 1.097*10^{7} m^{-1}

If m=3, in what range are wavelengths calculated from the generalized formula shown above?

a) microwave (1 to 10^{-4} m)

b) infrared (10^{-3} to 7*10^{-7 }m)

c) visible (7*10^{-7} to 4*10^{-7 }m)

d) ultraviolet (4*10^{-7} to 10^{-8}m)

e) X rays (10^{-8} to 10^{-13 }m)

Frequently Asked Questions

What scientific concept do you need to know in order to solve this problem?

Our tutors have indicated that to solve this problem you will need to apply the Bohr and Balmer Equations concept. If you need more Bohr and Balmer Equations practice, you can also practice Bohr and Balmer Equations practice problems.