The dimensional formula for Planck's constant h is obtained from E=hν.
[h]=[ν][E]=T−1ML2T−2=ML2T−1
The dimensional formula for stopping potential V0 is obtained from eV0=E.
[V0]=[e][E]=ATML2T−2=ML2T−3A−1
Work function is a form of energy, so its dimensional formula is the same as that of energy.
[Work function]=ML2T−2
Threshold frequency has the dimensional formula of frequency.
[Threshold frequency]=T−1
Therefore, the correct matching is A-III, B-IV, C-I, D-II.
Answer: A-III, B-IV, C-I, D-II