The Heisenberg uncertainty principle can be applied to:
The Heisenberg uncertainty principle can be applied to:
A
a cricket ball
B
a football
C
a jet aeroplane
D
an electron
Text Solution
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The correct Answer is:
To solve the question regarding the applicability of the Heisenberg Uncertainty Principle, we can follow these steps:
### Step 1: Understand the Heisenberg Uncertainty Principle
The Heisenberg Uncertainty Principle states that it is impossible to simultaneously know both the exact position and exact momentum of a particle. Mathematically, it is expressed as:
\[
\Delta x \cdot \Delta p \geq \frac{h}{4\pi}
\]
where:
- \(\Delta x\) is the uncertainty in position,
- \(\Delta p\) is the uncertainty in momentum,
- \(h\) is Planck's constant.
### Step 2: Identify the Nature of the Objects
The principle is applicable to very small, microscopic particles. Examples of such particles include:
- Electrons
- Protons
- Neutrons
In contrast, macroscopic objects (large objects) such as:
- Cricket balls
- Footballs
- Jet airplanes
do not exhibit significant uncertainty in their position and momentum due to their large mass.
### Step 3: Evaluate the Given Options
From the options provided:
1. Cricket ball
2. Football
3. Jet airplane
4. Electron
We can analyze each option:
- **Cricket ball**: A macroscopic object, not applicable.
- **Football**: A macroscopic object, not applicable.
- **Jet airplane**: A macroscopic object, not applicable.
- **Electron**: A microscopic particle, applicable.
### Step 4: Conclusion
The Heisenberg Uncertainty Principle can be applied to the electron, which is a microscopic particle.
### Final Answer
The correct answer is: **Electron**.
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