The work function for a certain metal is 4.2 eV. Will this metal give photoelectric emission for incident radiation of wavelength 330 nm?
Answers
Explanation:
No
Work function of the metal, image077 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1
Charge on an electron, e image078 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1C
Planck’s constant, himage079 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1Js
Wavelength of the incident radiation, image030 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1= 330 nmimage080 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1m
Speed of light, cimage081 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1m/s
The energy of the incident photon is given as:
image035 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1
image082 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1
image083 NCERT Solutions class-12 physics Dual Nature of Radiation and Matter Part-1
It can be observed that the energy of the incident radiation is less than the work function of the metal. Hence, no photoelectric emission will take place.