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Photoelectric effect and study of photoelectric effect

Question

At an incident radiation frequency of v1, which is greater than the threshold frequency, the stopping potential for a certain metal is V1. At frequency 2v1, the stopping potential is 3V1. If the stopping potential at frequency 4v1 is n V1, then n is ………

Moderate
Solution

According to Einstein's equation, hv=hv0+eV

 V=hevv0

Given V1=hev1v0 and 3V1=he2v1v0

 3V1V1=2v1v0v1v0v1=2v0 V1=he2v0v0=hev0

At frequency 4v1, nV1=he4v1v0

                                  =he8v0v0=7×hev0

 nV1=7V1n=7



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