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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?
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Practice Questions
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Q1
What is the threshold frequency for a metal if the work function is 4.5 eV?
5.4 x 10^14 Hz
6.0 x 10^14 Hz
7.2 x 10^14 Hz
8.0 x 10^14 Hz
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Threshold frequency (ν₀) = Work function (Φ) / h = 4.5 eV / (4.14 x 10^-15 eV·s) = 5.4 x 10^14 Hz.
Questions & Step-by-step Solutions
1 item
Q
Q: What is the threshold frequency for a metal if the work function is 4.5 eV?
Solution:
Threshold frequency (ν₀) = Work function (Φ) / h = 4.5 eV / (4.14 x 10^-15 eV·s) = 5.4 x 10^14 Hz.
Steps: 6
Show Steps
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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