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The work function for a metal surface is 4.14 eV. The threshold wavelength for this metal surface is ______.

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Question

The work function for a metal surface is 4.14 eV. The threshold wavelength for this metal surface is ______.

Options

  • 4125 Å

  • 2062.5 Å

  • 3000 Å

  • 6000 Å

MCQ
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Solution

The work function for a metal surface is 4.14 eV. The threshold wavelength for this metal surface is 3000 Å.

Explanation:

w = 4.14 eV

l0 = ?

w = `"hc"/lambda_0`

`lambda_0 = "hc"/"w"`

`lambda_0 = (12,375)/("w"("ev"))` Å

`lambda_0 = (12,375)/4.14` Å

`lambda_0 = 2,985` Å

`lambda_0 ≈ 3,000` Å

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