What is the maximum wavelength of light that can cause the photoelectric effect

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Question: What is the maximum wavelength of light that can cause the photoelectric effect in a metal with a work function of 4.0 eV? (2023)

Options:

Correct Answer: 310 nm

Exam Year: 2023

Solution:

Maximum wavelength (λ) = hc/φ. λ = (1240 eV.nm) / 4.0 eV = 310 nm.

What is the maximum wavelength of light that can cause the photoelectric effect in a metal with a work function of 4.0 eV? (2023)

What is the maximum wavelength of light that can cause the photoelectric effect in a metal with a work function of 4.0 eV? (2023)

Step 1: Understand the photoelectric effect. It occurs when light hits a metal and causes it to emit electrons.
Step 2: Know the work function (φ) of the metal. In this case, it is given as 4.0 eV. This is the minimum energy needed to release an electron.
Step 3: Use the formula to find the maximum wavelength (λ) that can cause the photoelectric effect: λ = hc/φ.
Step 4: Identify the constants: h (Planck's constant) = 4.1357 x 10^-15 eV.s and c (speed of light) = 3.00 x 10^8 m/s. For convenience, we can use the combined value of hc = 1240 eV.nm.
Step 5: Plug the values into the formula: λ = (1240 eV.nm) / (4.0 eV).
Step 6: Calculate the maximum wavelength: λ = 310 nm.

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