Final answer:
When two distinguishable photons hit a beam splitter, they may either both pass through, both reflect, or one may reflect while the other passes through. The frequency of the photons does not change upon interaction with the beam splitter.
Step-by-step explanation:
When two distinguishable photons hit a beam splitter several outcomes are possible due to the probabilistic nature of quantum mechanics. The possible outcomes are as follows:
a) Both photons pass through the beam splitter
b) One photon reflects while the other passes through
c) Both photons reflect.
d) One photon disappears.
However, option d is not physically possible as it violates the law of conservation of energy. Photons either reflect or transmit; they do not just disappear. Moreover, the probability that both photons will either reflect or transmit is affected by quantum interference effects especially in instances where the photons are identical or entangled.
When considering the frequency of photons, it does not change upon interaction with a beam splitter so the frequency will remain the same after hitting a beam splitter.