When light of wavelength falls on a metal surface, the stopping potential is . What is the stopping potential for light of wavelength on the same surface? (Take .)

Answer and explanation

Correct answer: C. 2.83 V

  1. Step 1: According to Einstein's photoelectric equation, the stopping potential satisfies , where is the metal work function.
  2. Step 2: For the two wavelengths, subtracting the expressions eliminates : .
  3. Step 3: Substitute , , and : .
  4. Step 4: Solve for final stopping potential: .
Answer
2.83 V.
Why not the others: 1.03 V is only the difference in stopping potential without adding the baseline ; 4.13 V is the total photon energy at without subtracting the work function; 2.40 V assumes stopping potential scales inversely with wavelength.

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