If a metal has a work function of 4 eV, what is the threshold frequency for the

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Question: If a metal has a work function of 4 eV, what is the threshold frequency for the photoelectric effect?

Options:

Correct Answer: 3.2 x 10^14 Hz

Solution:

The threshold frequency can be calculated using the formula f = φ/h, where h is Planck\'s constant (4.14 x 10^-15 eV·s).

If a metal has a work function of 4 eV, what is the threshold frequency for the photoelectric effect?

If a metal has a work function of 4 eV, what is the threshold frequency for the photoelectric effect?

Correct Answer: 6.03 x 10^14 Hz

Step 1: Understand the work function (φ). It is given as 4 eV. This is the minimum energy needed to remove an electron from the metal.
Step 2: Know the formula to find the threshold frequency (f). The formula is f = φ/h, where h is Planck's constant.
Step 3: Identify Planck's constant (h). It is approximately 4.14 x 10^-15 eV·s.
Step 4: Plug the values into the formula. Substitute φ with 4 eV and h with 4.14 x 10^-15 eV·s.
Step 5: Calculate the threshold frequency (f). Use the formula: f = 4 eV / (4.14 x 10^-15 eV·s).
Step 6: Perform the division to find the value of f.

Photoelectric Effect – The phenomenon where electrons are emitted from a material when it absorbs light of sufficient frequency.
Work Function – The minimum energy required to remove an electron from the surface of a metal.
Threshold Frequency – The minimum frequency of light required to emit electrons from a metal surface, related to the work function.
Planck's Constant – A fundamental constant used to relate the energy of photons to their frequency.