A proton of wavelength \(\lambda_o\) is emitted when an electron in an atom makes a transition from a level of energy 2E. If the electron transits from \(\frac{4}{3}E_k\) to E level, determine the wavelength of the photon that would be emitted
A
3\(\lambda_o\)
B
2\(\lambda_o\)
C
\(\frac{3}{4}\)\(\lambda_o\)
D
\(\frac{1}{3}\)\(\lambda_o\)
Verified Correct Answer: A.
Physical Principles & Numerical Solution
2E - E = \(\frac{hc}{\lambda}\) = E = \(\frac{hc}{\lambda}\)
\(\frac{4}{3}\)E = \(\frac{hc}{\lambda_{new}}\)
E = \(\frac{3hc}{\lambda_2}\)
\(\frac{3hc}{\lambda_2}\) = \(\frac{hc}{\lambda}\)
\(\lambda_{new}\) = 3 \(\lambda_o\)
Source: Myschool Past Questions Archive (Record #33945)