What is the threshold frequency for a metal if the work function is 4.5 eV?

What is the threshold frequency for a metal if the work function is 4.5 eV?

Step 1: Understand the terms. The work function (Φ) is the minimum energy needed to remove an electron from a metal. It is given as 4.5 eV.
Step 2: Know the formula for threshold frequency (ν₀). It is calculated using the formula: ν₀ = Φ / h, where h is Planck's constant.
Step 3: Identify Planck's constant (h). The value of h is approximately 4.14 x 10^-15 eV·s.
Step 4: Plug in the values into the formula. Substitute Φ with 4.5 eV and h with 4.14 x 10^-15 eV·s: ν₀ = 4.5 eV / (4.14 x 10^-15 eV·s).
Step 5: Perform the division. Calculate 4.5 divided by (4.14 x 10^-15).
Step 6: Get the result. The result of the calculation is approximately 5.4 x 10^14 Hz, which is the threshold frequency.

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