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QPages 382-383: Q8: HC Verma: Concepts of Physics - Volume 2 Bohr's Model and Physics of the Atom Pages 382-383: Q8 Solution: The numerical value of ionization energy in eV equals the…

⚠️ Common Exam Traps & Conceptual Pitfalls

Students often assume that because $1, ext{eV}$ equals the work done by $1, ext{V}$ on an electron, the numerical equality between ionization energy and potential holds in any units. In fact, the equality is only true when energy is expressed in eV and potential in volts; converting to joules or other units changes the numerical value. Always keep the units consistent and remember that eV is a unit of energy defined by the charge of the electron.

The numerical value of ionization energy in eV equals the ionization potential in volts. Does the equality hold if these quantities are measured in some other units?

Step-by-Step Verified Solution

**Answer:** No, the equality holds only when energy is measured in eV and potential in volts. **Step-by-Step Explanation:** The ionization energy in eV is numerically equal to the ionization potential in volts because 1 eV is the energy gained by an electron accelerated through 1 V. This is a definitional relationship. If energy is measured in joules and potential in volts, the numerical values are different (1 eV = 1.6 _ 10___ J). Hence, the equality is unit-dependent [citation:3].

All Questions in this Chapter

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