JEE MainPhysicsDual Nature of Matter
When monochromatic light of a certain wavelength is incident on a metal X having a work function of 1.8 eV , the stopping potential for the emitted photoelectrons is measured to be 1.4 V . If the same light is incident on another metal Y having a work function of 3.8 eV , the photoelectric emission:
Options
- Aoccurs with a stopping potential of 0.6 V
- Boccurs with a stopping potential of 1.4 V
- Coccurs with a stopping potential of 2.0 V
- Ddoes not occur
Correct answer
D. does not occur
Step-by-step solution
According to Einstein's photoelectric equation, the energy of the incident photon E is related to the work function and the stopping potential V_s by: E = + eV_s For metal X: _X = 1.8 eV V_ s,X = 1.4 V eV_ s,X = 1.4 eV The energy of the incident light is: E = 1.8 eV + 1.4 eV = 3.2 eV Now, this same light of energy E = 3.2 eV is incident on metal Y. The work function of metal Y is _Y = 3.8 eV . Since the incident photon energy ( 3.2 eV ) is strictly less than the work function of metal Y ( 3.8 eV ), no electrons can