Q137 / 180 · NEET 2016 (Phase 1) · Physics

When a metallic surface is illuminated with radiation of wavelength λ, the stopping potential is V. If the same surface is illuminated with radiation of wavelength 2λ, the stopping potential is V4. The threshold wavelength for the metallic surface is:

  • A
    4λ
  • B
    5λ
  • C
    52λ
  • Correct answer
    D
    3λ

Solution

Given,

Stopping potential is V when the metal is illuminated with λ.

Stopping potential is V4 when the metal is illuminated with 2λ.

In photo electric effects

e V 0 = hν−W

eV0=hcλ-W

eV=hcλ-W ...(i)

eV4=hc2λ-W ....(ii)

From (i) and (ii)

hcλ-W=4hc2λ-W

hcλ-W=2hcλ-4W

3W=hcλ⇒W=hc3λ

hcλmax=hc3λ⇒λmax= threshold wavelength =3λ

Hence, the correct answer is option: 'D'.

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