wave mechanical model of the atom depends upon:

Options

A. de-Broglie's concept of duality
B. Uncertainty principle
C. Schrodinger's wave equation
D. All the above

Answer

To solve the question regarding what the wave mechanical model of the atom depends upon, we can break it down into the following steps:

### Step-by-Step Solution:

1. **Understanding the Wave Mechanical Model**:
- The wave mechanical model of the atom describes electrons in terms of wave functions and probabilities rather than fixed orbits. This model is based on principles of quantum mechanics.

2. **De Broglie Concept of Duality**:
- Louis de Broglie proposed that particles, such as electrons, exhibit both wave-like and particle-like properties. This duality is fundamental to the wave mechanical model, as it allows us to describe the behavior of electrons as waves.

3. **Heisenberg's Uncertainty Principle**:
- The uncertainty principle states that it is impossible to simultaneously know both the exact position and exact momentum of an electron. This principle is crucial in the wave mechanical model as it emphasizes the probabilistic nature of electron locations.

4. **Schrodinger Wave Equation**:
- The Schrodinger equation is a key equation in quantum mechanics that describes how the quantum state of a physical system changes over time. The wave function (Ψ) obtained from this equation represents the probability amplitude of finding an electron in a particular state, reinforcing the wave aspect of electrons.

5. **Conclusion**:
- All three concepts—de Broglie's duality, the uncertainty principle, and the Schrodinger wave equation—are integral to the wave mechanical model of the atom. Therefore, the answer to the question is that the wave mechanical model depends on all of these principles.

### Final Answer:
The wave mechanical model of the atom depends on:
- De Broglie concept of duality
- Heisenberg's uncertainty principle
- Schrodinger wave equation

Thus, the correct answer is "all of these."

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