What is the relationship between the work function and the threshold frequency?

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Question: What is the relationship between the work function and the threshold frequency?

Options:

Correct Answer: Φ = hν₀

Solution:

The work function (Φ) is directly proportional to the threshold frequency (ν₀) as Φ = hν₀.

What is the relationship between the work function and the threshold frequency?

What is the relationship between the work function and the threshold frequency?

Step 1: Understand the work function (Φ). It is the minimum energy needed to remove an electron from a material.
Step 2: Understand the threshold frequency (ν₀). It is the minimum frequency of light needed to provide enough energy to remove an electron.
Step 3: Know that energy can be calculated using the formula E = hν, where E is energy, h is Planck's constant, and ν is frequency.
Step 4: Relate the work function to the threshold frequency using the formula Φ = hν₀.
Step 5: Conclude that if the threshold frequency increases, the work function also increases, showing they are directly proportional.

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