Question:
In the angular momentum equation for the hydrogen atom, the principal quantum number is:
In the angular momentum equation for the hydrogen atom, the principal quantum number is:
Show Hint
The principal quantum number \( n \) determines the allowed values of angular momentum in an atom. For hydrogen, \( n = 2 \).
Updated On: Apr 28, 2026
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The Correct Option is B
Solution and Explanation
Step 1: Bohr model concept
In the Bohr model of hydrogen atom, electrons revolve in fixed circular orbits without radiating energy. Their angular momentum is quantized.
Step 2: Quantization rule
The angular momentum is given by:
\( L = n\hbar \)
where \( n \) is the principal quantum number.
Step 3: Physical meaning
Each value of \( n \) corresponds to a different allowed orbit (energy level). There is no single fixed value unless additional conditions are given.
Final Answer:
Thus, \( n \) is not uniquely 2; it can be any positive integer depending on the state of the electron.
In the Bohr model of hydrogen atom, electrons revolve in fixed circular orbits without radiating energy. Their angular momentum is quantized.
Step 2: Quantization rule
The angular momentum is given by:
\( L = n\hbar \)
where \( n \) is the principal quantum number.
Step 3: Physical meaning
Each value of \( n \) corresponds to a different allowed orbit (energy level). There is no single fixed value unless additional conditions are given.
Final Answer:
Thus, \( n \) is not uniquely 2; it can be any positive integer depending on the state of the electron.
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