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If the value of m for an electron is +3....

If the value of m for an electron is +3. It may be found in

A

4s-orbitals

B

4p-orbitals

C

In any f-orbital

D

In any d-orbital

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To solve the question, we need to determine the possible orbital type for an electron when the magnetic quantum number (m) is given as +3. The magnetic quantum number is denoted by 'm' and can take values ranging from -l to +l, where 'l' is the azimuthal (or angular momentum) quantum number. ### Step-by-Step Solution: 1. **Identify the Range of m**: The magnetic quantum number (m) can take values from -l to +l. Therefore, if m = +3, it indicates that l must be at least 3. 2. **Determine the Value of l**: Since m can take values from -l to +l, the maximum value of m (which is +3 in this case) indicates that l must be equal to 3. This is because the highest value of m is equal to l. 3. **Identify the Orbital Type**: The value of l corresponds to specific types of orbitals: - l = 0 corresponds to s orbitals - l = 1 corresponds to p orbitals - l = 2 corresponds to d orbitals - l = 3 corresponds to f orbitals Since we have determined that l = 3, this means the electron is found in an f orbital. 4. **Conclusion**: Therefore, if the value of m for an electron is +3, it may be found in an f orbital. ### Final Answer: The electron may be found in an f orbital.
To solve the question, we need to determine the possible orbital type for an electron when the magnetic quantum number (m) is given as +3. The magnetic quantum number is denoted by 'm' and can take values ranging from -l to +l, where 'l' is the azimuthal (or angular momentum) quantum number. ### Step-by-Step Solution: 1. **Identify the Range of m**: The magnetic quantum number (m) can take values from -l to +l. Therefore, if m = +3, it indicates that l must be at least 3. 2. **Determine the Value of l**: Since m can take values from -l to +l, the maximum value of m (which is +3 in this case) indicates that l must be equal to 3. This is because the highest value of m is equal to l. ...
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