Subsidiary quantum number specifies

Options

A. Size of orbital
B. Shape of orbital
C. Orientations stability
D. Nuclear stability

Explanation

To answer the question "Subsidiary quantum number specifies," we can break it down step by step:

### Step 1: Understanding Quantum Numbers
Quantum numbers are values that describe the energy levels and orbitals of electrons in an atom. There are four types of quantum numbers: principal quantum number (n), azimuthal (or subsidiary) quantum number (l), magnetic quantum number (m_l), and spin quantum number (m_s).

**Hint:** Remember that quantum numbers are like addresses for electrons, telling us where they are located and their properties.

### Step 2: Identifying the Subsidiary Quantum Number
The subsidiary quantum number, also known as the azimuthal quantum number, is denoted by the letter 'l'. This number can take on integer values from 0 to (n-1), where 'n' is the principal quantum number.

**Hint:** The value of 'l' is related to the principal quantum number 'n'. It helps us understand the type of orbital an electron occupies.

### Step 3: Determining the Significance of 'l'
The value of 'l' specifies the shape of the electron's orbital:
- If l = 0, the orbital is an **s orbital**, which has a spherical shape.
- If l = 1, the orbital is a **p orbital**, which has a dumbbell shape.
- If l = 2, the orbital is a **d orbital**, which has a double dumbbell shape.
- If l = 3, the orbital is an **f orbital**, which has a more complex shape.

**Hint:** Each value of 'l' corresponds to a specific type of orbital with a distinct shape.

### Step 4: Conclusion
Thus, the subsidiary quantum number specifies the shape of the orbitals in which electrons are found. It is an essential part of understanding the arrangement of electrons in an atom.

**Final Answer:** The subsidiary quantum number specifies the shape of orbitals.

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