The `alpha-` rays have more penetrating power than `gamma-` rays.

Answer

To determine whether the statement "Alpha rays have more penetrating power than gamma rays" is true or false, we can analyze the properties of both types of radiation.

### Step-by-Step Solution:

1. **Understanding Alpha Rays**:
- Alpha rays are composed of alpha particles, which consist of 2 protons and 2 neutrons (essentially a helium nucleus).
- Due to their relatively large mass (approximately 4 atomic mass units), alpha particles are heavy and positively charged.

2. **Understanding Gamma Rays**:
- Gamma rays are a form of electromagnetic radiation, which means they are massless and have no charge.
- They have very short wavelengths and high energy, making them capable of penetrating materials more effectively than charged particles.

3. **Penetrating Power**:
- The penetrating power of a radiation type is influenced by its mass and charge. Generally, the smaller the mass and the less charge, the greater the penetrating power.
- Alpha particles, being heavy and positively charged, interact strongly with matter, losing energy quickly and thus having low penetrating power. They can be stopped by a sheet of paper or even the outer layer of human skin.
- In contrast, gamma rays, being massless and uncharged, can penetrate much deeper into materials, including human tissue, and require dense materials like lead or several centimeters of concrete to be effectively shielded.

4. **Conclusion**:
- Based on the properties of alpha and gamma rays, we conclude that gamma rays have more penetrating power than alpha rays.
- Therefore, the statement "Alpha rays have more penetrating power than gamma rays" is **false**.

### Final Answer:
The statement is **false**.

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