One similarity between sound and light waves is that

Options

A. both can propagat in vacuum
B. both have same speed
C. both can show polarization
D. both can show interference

Explanation

To answer the question, "One similarity between sound and light waves is that," we can analyze the characteristics of both types of waves and identify their similarities.

### Step-by-Step Solution:

1. **Identify the Nature of Waves**:
- Sound waves are longitudinal waves, meaning their particle vibrations occur in the same direction as the wave travels.
- Light waves are transverse waves, where the electric and magnetic field vectors vibrate perpendicular to the direction of wave propagation.

2. **Propagation Medium**:
- Sound requires a medium (solid, liquid, or gas) to propagate and cannot travel through a vacuum.
- Light, being an electromagnetic wave, can propagate through a vacuum as well as through mediums.

3. **Speed of Waves**:
- The speed of sound in air is approximately 343 m/s, while the speed of light in a vacuum is about 3 x 10^8 m/s. Thus, they do not travel at the same speed.

4. **Polarization**:
- Sound waves do not exhibit polarization because their vibrations are already aligned in the direction of propagation.
- Light waves can be polarized, as they have vibrations in multiple directions.

5. **Interference**:
- Both sound and light waves can exhibit interference, which is the phenomenon where two or more waves superpose to form a resultant wave.
- In sound, this can be observed in noise-canceling headphones, where destructive interference reduces unwanted noise.
- In light, interference can be seen in phenomena such as the colorful patterns in soap bubbles or the results of the Young's double slit experiment.

6. **Conclusion**:
- The similarity between sound and light waves is that **both can show interference**.

### Final Answer:
One similarity between sound and light waves is that **both can show interference**.

---