Share

## 1. What is the longest-wavelength EM radiation that can eject a photoelectron from silver, given that the binding energy is 4.73 eV? Is this

Question

1. What is the longest-wavelength EM radiation that can eject a photoelectron from silver, given that the binding energy is 4.73 eV? Is this in the visible range?

2. Find the longest-wavelength photon that can eject an electron from potassium, given that the binding energy is 2.24 eV. Is this visible EM radiation?

in progress
0

Physics
1 month
2021-08-01T09:15:13+00:00
2021-08-01T09:15:13+00:00 1 Answers
45 views
0
## Answers ( )

Answer:1. λ = 2.626 x 10⁻⁷ m = 262.6 nm

This wavelength is not in visible range. It lies in Ultra Violet Region.

2. λ = 5.546 x 10⁻⁷ m = 554.6 nm

This wavelength is in visible range.

Explanation:The binding energy of in photoelectric effect is also known as work function. The formula for this is given as follows:

Binding Energy = Work Function = hc/λλ = hc/Work Function ————— equation (1)where,

h = Plank’s Constant = 6.626 x 10⁻³⁴ J.s

c = speed of light = 3 x 10⁸ m/s

λ = longest wavelength capable of ejecting electron = ?

(1)Here,

Work Function = (4.73 eV)(1.6 x 10⁻¹⁹ J/1 eV) = 7.568 x 10⁻¹⁹ J

Therefore,

λ = (6.626 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/(7.568 x 10⁻¹⁹ J)λ = 2.626 x 10⁻⁷ m = 262.6 nmThis wavelength is not in visible range. It lies in Ultra Violet Region.(2)Here,

Work Function = (2.24 eV)(1.6 x 10⁻¹⁹ J/1 eV) = 3.584 x 10⁻¹⁹ J

Therefore,

λ = (6.626 x 10⁻³⁴ J.s)(3 x 10⁸ m/s)/(3.584 x 10⁻¹⁹ J)λ = 5.546 x 10⁻⁷ m = 554.6 nmThis wavelength is in visible range.