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The number of nodal planes 'd' orbital h...

The number of nodal planes 'd' orbital has

A

Zero

B

one

C

two

D

three

Text Solution

AI Generated Solution

The correct Answer is:
To determine the number of nodal planes in a d orbital, we can follow these steps: ### Step-by-Step Solution: 1. **Understand Nodal Planes**: A nodal plane is a region in an atom where the probability of finding an electron is zero. This means that in these planes, the wave function of the electron is equal to zero. 2. **Identify the Quantum Numbers**: The number of nodal planes in an orbital is related to the azimuthal quantum number, denoted by \( l \). The value of \( l \) is associated with the shape of the orbital. 3. **Determine the Value of \( l \) for d Orbitals**: For d orbitals, the azimuthal quantum number \( l \) is equal to 2. This is because the d orbitals are the third type of orbitals (s, p, d, f), and they correspond to \( l = 0, 1, 2, 3 \) respectively. 4. **Calculate the Number of Nodal Planes**: The number of nodal planes in an orbital is given by the formula: \[ \text{Number of Nodal Planes} = l \] Therefore, for d orbitals where \( l = 2 \), the number of nodal planes is: \[ \text{Number of Nodal Planes} = 2 \] 5. **Select the Correct Option**: Based on the options provided: - Option 1: Zero - Option 2: One - Option 3: Two (Correct Answer) - Option 4: Three The correct answer is option 3, which states that the number of nodal planes in a d orbital is 2. ### Final Answer: The number of nodal planes in a d orbital is **2**. ---
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