Atomic StructureHardBloom L2
Question
The maximum kinetic energy of photoelectrons emitted from a surface is $4 \text{ eV}$ when photons of energy $6 \text{ eV}$ fall on it. The stopping potential (in volts) is:
Options
A.$2 \text{ V}$
B.$4 \text{ V}$
C.$6 \text{ V}$
D.$10 \text{ V}$
Solution
{"given":"Photon energy $= 6 \\text{ eV}$, Maximum kinetic energy of photoelectrons $KE_{\\max} = 4 \\text{ eV}$","key_observation":"The stopping potential $V_s$ is the minimum retarding potential needed to stop the most energetic photoelectrons. It satisfies $eV_s = KE_{\\max}$, so $V_s = KE_{\\max}/e$.","option_analysis":[{"label":"(A)","text":"2 V","verdict":"incorrect","explanation":"This would correspond to $KE_{\\max} = 2 \\text{ eV}$, but the maximum kinetic energy given is $4 \\text{ eV}$."},{"label":"(B)","text":"4 V","verdict":"correct","explanation":"Using $eV_s = KE_{\\max} = 4 \\text{ eV}$, the stopping potential is $V_s = 4 \\text{ V}$."},{"label":"(C)","text":"6 V","verdict":"incorrect","explanation":"This equals the incident photon energy, not the maximum kinetic energy of the photoelectrons."},{"label":"(D)","text":"10 V","verdict":"incorrect","explanation":"This is the sum of photon energy and kinetic energy, which has no physical significance here."}],"answer":"(B)","formula_steps":[]}
Create a free account to view solution
View Solution FreeMore Atomic Structure Questions
The ground state energy of hydrogen atom is -13.6eV. What is the potential energy of the electron in this state?...Electrons with energy 80 keV are incident on the tungsten target of an X-ray tube. K-shell electrons of tungsten have a ...X-ray will not show the phenomenon of :...Consider an atom made up of a proton and a hypothetical particle that has double the mass of an electron but the same ch...If the nuclear radius of 27Al is 3.6 Fermi, the approximate nuclear radius of 64Cu in Fermi is:...