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1 2 A hydrogen atom makes a transition from the n - 3 state to the ground state

ID: 1648535 • Letter: 1

Question

1 2 A hydrogen atom makes a transition from the n - 3 state to the ground state and emits a single photon of light in the process. The photon then strikes a piece of silicon, which has a photoelectric work function of 4.8 ev. 1) Calculate the energy of emitted photon. (Express your answer to four significant figures.) eV Submit You currently have O submissions for this question. Only 10 submission are allowed You can make 10 more submissions for this question 2) Find the maximum possible kinetic energy of the photoelectron (ejected from the silicon). (Express your answer to three significant figures.) eV Submit You currently have 0 submissions for this question. Only 10 submission are allowed. You can make 10 more submissions for this question.

Explanation / Answer

relation between wavelength and Rydberg constant

1/ lamda = R ( ( 1/ n1^2 - 1/ n2^2)

=  1.0973731568508 × 10 7 ( 1/ 1^2 - 1/3^2)

lamda = 1.0251 * 10^-7 m or 102.51 nm

E = hc/ lamda

= 1240 eV nm/ 102.51 nm = 12.10 eV or 1.937 * 10^-18 J

(b)

KE max = hf- phi

= 12.096 eV - 4.8 eV

=7.30 eV

=1.17 * 10^-18 J