Given below are two statements: Statement I: The shortest wavelength of the Paschen series for the He^+ ion is 9 4R_H . Statement II: In the photoelectric effect, the maximum kinetic energy of ejected electrons is independent of the frequency of incident light. In the light of the above statements, choose the correct answer from the options given below:

Step-by-step solution

For Statement I: The Paschen series corresponds to n₁ = 3 . The shortest wavelength corresponds to the maximum energy transition, which is the series limit ( n₂ = ). For the He^+ ion, Z = 2 . 1 = R_H Z^2 ( 1 n₁^2 - 1 n₂^2 ) 1 = R_H (2)^2 ( 1 3^2 - 1 ) = 4R_H 9 = 9 4R_H Thus, Statement I is true. For Statement II: According to Einstein's photoelectric equation, K_ max = h - h ₀ . The maximum kinetic energy of ejected electrons depends linearly on the frequency of the incident light (for > ₀ ). It is independent of t