Stopping Potential
In a photoelectric experiment the fastest electrons emitted from a cathode are found to have a maximum kinetic energy of 1.6 eV, and a technician measures the stopping potential.
Select the correct option:
Solution
1.6 V
The stopping potential is the reverse voltage that just halts the most energetic photoelectrons, and NCERT relates it to their kinetic energy through eV0=Kmax. Because the electron charge magnitude is e and kinetic energy here is quoted in electron-volts, the numerical value of the stopping potential in volts equals the kinetic energy in electron-volts. Thus with Kmax=1.6 eV, we have V0=eKmax=e1.6 eV=1.6 V. This neat correspondence is exactly why the electron-volt is such a convenient unit here. The value 3.2 V is wrong because it doubles the kinetic energy, perhaps confusing charge with a factor of two. The value 0.8 V is wrong because it halves the correct result without justification. The value 1.6×10−19 V is wrong because it confuses the electron charge in coulombs with the potential, mixing units incorrectly. As stated in NCERT Class 12, Chapter 11, the stopping potential directly measures the maximum kinetic energy of photoelectrons. A unit check confirms that dividing an energy in electron-volts by the electronic charge yields a potential in volts of the same numerical value, matching 1.6 V.
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About This Question
- Subject
- physics
- Chapter
- dual nature of matter and radiation
- Topic
- stopping potential
- Difficulty
- Easy
- Year
- 2025
Solution
Correct Answer:
1.6 V
The stopping potential is the reverse voltage that just halts the most energetic photoelectrons, and NCERT relates it to their kinetic energy through eV0=Kmax. Because the electron charge magnitude is e and kinetic energy here is quoted in electron-volts, the numerical value of the stopping potential in volts equals the kinetic energy in electron-volts. Thus with Kmax=1.6 eV, we have V0=eKmax=e1.6 eV=1.6 V. This neat correspondence is exactly why the electron-volt is such a convenient unit here. The value 3.2 V is wrong because it doubles the kinetic energy, perhaps confusing charge with a factor of two. The value 0.8 V is wrong because it halves the correct result without justification. The value 1.6×10−19 V is wrong because it confuses the electron charge in coulombs with the potential, mixing units incorrectly. As stated in NCERT Class 12, Chapter 11, the stopping potential directly measures the maximum kinetic energy of photoelectrons. A unit check confirms that dividing an energy in electron-volts by the electronic charge yields a potential in volts of the same numerical value, matching 1.6 V.
This easy difficulty physics question is from the chapter dual nature of matter and radiation, covering the topic of stopping potential. It appeared in the 2025 exam.
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