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Question:
Light of wavelength 488 nm is produced by an argon laser which is used in the photoelectric effect. When light from this spectral line is incident on the emitter, the stopping (cut-off) potential of photoelectrons is 0.38 V. Find the work function of the material from which the emitter is made.
Answer:

Wavelength of light produced by the argon laser,image030 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1 = 488 nm

image097 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1m

Stopping potential of the photoelectrons, image090 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1= 0.38 V

1eV image098 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1J

image016 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1 = image099 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1

Planck’s constant, himage100 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1 Js

Charge on an electron, e= 1.6 × 10 – 19C

Speed of light, c= 3 × 10 m/s

From Einsteins photoelectric effect, we have the relation involving the work function image101 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1of the material of the emitter as:

image102 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1

image103 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1

image104 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1image105 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1

image106 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1

Therefore, the material with which the emitter is made has the work function of 2.16 eV.

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