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Question: Answered & Verified by Expert
If a photocell is illuminated with a radiation of 1240 A, the stopping potential is found to be 8 V; then the work function of the emitter and the threshold wavelength are:
PhysicsDual Nature of MatterAP EAMCETAP EAMCET 2021 (20 Aug Shift 2)
Options:
  • A 2 eV, 2000 A
  • B 2 eV, 6200 A
  • C 2 eV, 2480 A
  • D 3 eV,6200 A
Solution:
2230 Upvotes Verified Answer
The correct answer is: 2 eV, 6200 A
The Einstein's equation for photoelectric effect : KEmax=hcλ-W where,

W= work function of metal, λ= wavelength of incident light.

If V0 be the stopping potential, then KEmax=eV0

So, eV0=hcλ-W

W=hcλ-eV0=6.62×10-34×3×1081240×10-10-1.6×10-198
=3.2×10-19=2 eV as 1 eV=1.6×10-19

If λ0 be the threshold wavelength, W=hcλ0

λ0=hcW=6.62×10-34×3×1083.2×10-19=6.2×10-7 m=6200 A°

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