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Among the various quantum numbers (n, l, m, s) describing an electron, which can have the largest value?Group of answer choicesPrincipal quantum numberAzimuthal quantum numberMagnetic quantum numberSpin quantum number

Question

Among the various quantum numbers (n, l, m, s) describing an electron, which can have the largest value?Group of answer choicesPrincipal quantum numberAzimuthal quantum numberMagnetic quantum numberSpin quantum number

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Solution

The quantum number that can have the largest value is the Principal quantum number.

Here's why:

  1. Principal Quantum Number (n): This number determines the energy level or shell of an electron in an atom and can have any positive integer value. Therefore, it can have the largest value among the quantum numbers.

  2. Azimuthal Quantum Number (l): This number determines the shape of the orbital and can have values from 0 to (n-1). Therefore, its maximum value is always less than the principal quantum number.

  3. Magnetic Quantum Number (m): This number determines the orientation of the orbital and can have values from -l to +l. Therefore, its maximum value is always less than or equal to the azimuthal quantum number.

  4. Spin Quantum Number (s): This number determines the direction of the electron spin and can only have two values: +1/2 or -1/2. Therefore, it has the smallest range of possible values.

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Similar Questions

magnetic quantum number

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