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The photoelectric work function for a metalsurface is 4.125 eV. The cut off wavelength forthis surface is [1999]
  • a)
    4125 Å
  • b)
    3000 Å
  • c)
    6000 Å
  • d)
    2062.5 Å
Correct answer is option 'B'. Can you explain this answer?
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The photoelectric work function for a metalsurface is 4.125 eV. The cu...
Let λ0 be cut off wavelength.
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The photoelectric work function for a metalsurface is 4.125 eV. The cu...
Explanation:

Photoelectric Work Function:
- The photoelectric work function is the minimum amount of energy required to remove an electron from the surface of a material.
- In this case, the photoelectric work function is given as 4.125 eV.

Relationship between Work Function and Cut-off Wavelength:
- The cut-off wavelength, λ, can be calculated using the formula:
λ = hc / Φ
where h is the Planck's constant (4.135 x 10^-15 eV s), c is the speed of light (3 x 10^8 m/s), and Φ is the work function.

Calculation:
- Substituting the given values into the formula:
λ = (4.135 x 10^-15 eV s * 3 x 10^8 m/s) / 4.125 eV
λ ≈ (1.2405 x 10^-6 m) / 4.125
λ ≈ 3 x 10^-7 m

Conversion to Angstrom:
- 1 meter is equal to 10^10 Angstroms. Therefore, to convert the result to Angstrom:
λ = 3 x 10^-7 m * 10^10 Å/m
λ = 3000 Å
Therefore, the cut-off wavelength for the given metal surface is 3000 Å, which corresponds to option b.
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The photoelectric work function for a metalsurface is 4.125 eV. The cut off wavelength forthis surface is [1999]a)4125 Åb)3000 Åc)6000 Åd)2062.5 ÅCorrect answer is option 'B'. Can you explain this answer?
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