Light having a wavelength equal to the peak wavelength of a star of what temperature can produce photoelectrons from manganese ($\phi$ = 4.1 eV)
A) 960 K
B) 23000 K
C) 9600 K
D) 96000 K
E) 2300 K

Question

Quizplus · Accepted Answer

The energy required to produce photoelectrons from manganese is given as 4.1 eV. We can use the equation:

E = hc/λ

where E is the energy of a photon, h is Planck's constant, c is the speed of light, and λ is the wavelength of light.

We can rearrange this equation to solve for λ:

λ = hc/E

Substituting E = 4.1 eV = 6.58 x 10^-19 J into the equation and solving for λ gives:

λ = (6.626 x 10^-34 J s) x (2.998 x 10^8 m/s) / (6.58 x 10^-19 J) ≈ 3 x 10^-7 m

This wavelength corresponds to the visible range of light, which is emitted by stars with temperatures in the range of 5000-8000 K. Therefore, the correct answer is closest to 9600 K, which is choice C.

Light Having a Wavelength Equal to the Peak Wavelength of a Star