JEE Main 2024 Physics question

PhysicsDual Nature of Matter and RadiationJEE Main 2024

When a metal surface is illuminated by light of wavelength λ, the stopping potential is 8V. When the same surface is illuminated by light of wavelength 3λ, stopping potential is 2V. The threshold wavelength for this surface is:

Answer: (C)

Solution

8 eV = hc/λ − φ₀ and 2 eV = hc/(3λ) − φ₀. Subtracting, 6 eV = (2/3)hc/λ, so

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Question ID VK-017379