The wave mechanical model of an atom is based upon which of the following equations ?

Options

A. Schrodinger's equation
B. de Broglie's equation
C. Heisenberg's uncertainity principle
D. All the above

Answer

To determine which equations the wave mechanical model of an atom is based upon, we can analyze the contributions of key figures in quantum mechanics. Here's a step-by-step solution:

### Step 1: Understand the Wave Mechanical Model
The wave mechanical model of the atom describes electrons not just as particles, but as waves. This dual nature is fundamental to quantum mechanics.

**Hint:** The wave mechanical model combines concepts of both wave and particle behavior of electrons.

### Step 2: Identify Key Equations
1. **Schrodinger Equation**: This equation is central to the wave mechanical model. It describes how the quantum state of a physical system changes over time. Schrodinger's equation is fundamental for determining the probability distribution of an electron in an atom.

**Hint:** Look for equations that describe the behavior of wave functions.

2. **De Broglie Equation**: This equation relates the wavelength of a particle to its momentum. It highlights the wave nature of particles, particularly electrons, and is essential for understanding the dual nature of matter.

**Hint:** Think about how wavelength and momentum are connected for particles.

3. **Heisenberg Uncertainty Principle**: This principle states that it is impossible to simultaneously know the exact position and momentum of a particle. This uncertainty is a key aspect of quantum mechanics and is considered in the wave mechanical model.

**Hint:** Consider the implications of measuring position and momentum in quantum systems.

### Step 3: Conclusion
All three equations—Schrodinger's equation, the de Broglie equation, and the Heisenberg uncertainty principle—are foundational to the wave mechanical model of the atom. Therefore, the answer to the question is that the wave mechanical model is based on all of these equations.

**Final Answer:** The wave mechanical model of an atom is based on Schrodinger's equation, de Broglie's equation, and the Heisenberg uncertainty principle.