Concept:For photoelectric emission, the stopping potential depends on the maximum kinetic energy of the emitted photoelectrons, which changes with the frequency of incident light.
Explanation:According to Einstein's photoelectric equation,
Kmax=hν−ϕHere,
h is Planck's constant,
ν is the frequency of incident light, and
ϕ is the work function of the material.
Since frequency is related to wavelength by
ν=λcwe can rewrite the equation as
Kmax=λhc−ϕThe stopping potential
V0 is related to the maximum kinetic energy by
eV0=KmaxTherefore,
eV0=λhc−ϕWhen the incident wavelength
λ is decreased, the term
λhc becomes larger.
This means the maximum kinetic energy
Kmax of the emitted photoelectrons increases.
Since
V0=eKmax, an increase in
Kmax leads to an increase in the stopping potential
V0.
Hence, the stopping potential increases when the wavelength of incident light decreases.
Answer:The stopping potential increases.
Correct option: B. increases