In Schrodinger wave mechanical model `Psi^(2)``(r,theta,phi)` represents :

Options

A. amplitude of electron wave
B. probability density of electron
C. total probaility of finding electron around nucleus
D. orbit

Answer

To solve the question regarding the representation of `Psi^(2)(r, theta, phi)` in the context of the Schrödinger wave mechanical model, we can follow these steps:

### Step-by-Step Solution:

1. **Understanding the Wave Function (Ψ)**:
- The wave function, denoted as Ψ(r, θ, φ), is a mathematical function that describes the quantum state of a particle, in this case, an electron in an atom. It is a solution to the Schrödinger equation.

**Hint**: Recall that the wave function contains information about the quantum state of a system.

2. **Components of the Wave Function**:
- The wave function can be separated into two parts: a radial part and an angular part. The radial part depends on the distance from the nucleus (r), while the angular part depends on the angles θ (theta) and φ (phi).

**Hint**: Think about how the wave function can be expressed in spherical coordinates.

3. **Interpreting Ψ²**:
- The term Ψ²(r, θ, φ) represents the square of the wave function. In quantum mechanics, the square of the wave function gives us the probability density of finding the electron in a particular region of space.

**Hint**: Remember that in quantum mechanics, probabilities are derived from the square of the wave function.

4. **Probability Density**:
- Specifically, Ψ²(r, θ, φ) provides the probability density function for the electron's position. This means it tells us how likely it is to find the electron at a certain point in space, defined by the coordinates (r, θ, φ).

**Hint**: Consider how probability density relates to the likelihood of finding a particle in a specific area.

5. **Conclusion**:
- Therefore, in the context of the Schrödinger wave mechanical model, Ψ²(r, θ, φ) represents the probability density of the electron.

**Hint**: Think about the implications of probability density in the context of electron distribution around the nucleus.

### Final Answer:
In the Schrödinger wave mechanical model, `Ψ²(r, θ, φ)` represents the **probability density** of the electron.