State Heisenberg Uncertainity Principle along with its Equation .

Answer

### Step-by-Step Solution:

1. **State the Heisenberg Uncertainty Principle**:
The Heisenberg Uncertainty Principle asserts that it is impossible to measure simultaneously the exact position and momentum of a small moving particle with absolute accuracy. This principle highlights a fundamental limit to the precision with which certain pairs of physical properties, known as complementary variables or canonically conjugate variables, can be known.

2. **Understanding the Terms**:
- **Position (x)**: The location of the particle in space.
- **Momentum (p)**: The product of the mass (m) of the particle and its velocity (v), expressed as \( p = mv \).
- **Uncertainty in Position (\( \Delta x \))**: The degree of uncertainty in the measurement of the particle's position.
- **Uncertainty in Momentum (\( \Delta p \))**: The degree of uncertainty in the measurement of the particle's momentum.

3. **Equation of the Heisenberg Uncertainty Principle**:
The mathematical representation of the Heisenberg Uncertainty Principle is given by:
\[ \Delta p \cdot \Delta x \geq \frac{h}{4\pi} \]
where:
- \( \Delta p \) is the uncertainty in momentum,
- \( \Delta x \) is the uncertainty in position,
- \( h \) is Planck's constant (\(6.626 \times 10^{-34} \, \text{Js}\)).

4. **Rewriting the Equation**:
The uncertainty in momentum can also be expressed in terms of mass and velocity:
\[ \Delta p = m \cdot \Delta v \]
Therefore, the equation can be rewritten as:
\[ m \cdot \Delta v \cdot \Delta x \geq \frac{h}{4\pi} \]
where \( \Delta v \) is the uncertainty in velocity.

### Summary:
- The Heisenberg Uncertainty Principle states that it is impossible to measure both the exact position and momentum of a particle simultaneously with absolute accuracy.
- The equation representing this principle is:
\[ \Delta p \cdot \Delta x \geq \frac{h}{4\pi} \]