If a metal has a work function of 3 eV, what is the maximum wavelength of light

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Question: If a metal has a work function of 3 eV, what is the maximum wavelength of light that can cause photoemission?

Options:

Correct Answer: 600 nm

Solution:

Maximum wavelength (λ) = hc/Φ = (1240 nm·eV)/(3 eV) = 413.33 nm.

If a metal has a work function of 3 eV, what is the maximum wavelength of light that can cause photoemission?

If a metal has a work function of 3 eV, what is the maximum wavelength of light that can cause photoemission?

Step 1: Understand the work function (Φ). It is the minimum energy needed to remove an electron from the metal. In this case, Φ = 3 eV.
Step 2: Know the formula to find the maximum wavelength (λ) that can cause photoemission: λ = hc/Φ.
Step 3: Identify the constants: h (Planck's constant) = 4.1357 x 10^-15 eV·s and c (speed of light) = 3 x 10^8 m/s.
Step 4: Convert the constants into a usable form for our formula. We can use hc = 1240 nm·eV for convenience.
Step 5: Plug the values into the formula: λ = 1240 nm·eV / 3 eV.
Step 6: Calculate the maximum wavelength: λ = 413.33 nm.

Photoelectric Effect – The phenomenon where electrons are emitted from a material when it absorbs light of sufficient energy.
Work Function – The minimum energy required to remove an electron from the surface of a metal.
Wavelength and Energy Relationship – The relationship between the energy of a photon and its wavelength, given by the equation E = hc/λ.