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In a 10 m high room a partition of heigh...

In a 10 m high room a partition of height 7m separates two students on either side. Both light and sound waves can deviate from their path if they experience any obstruction. Then why is it that the two students can converse with each other even if one cannot see the other?

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**Step-by-Step Solution:** 1. **Understanding the Setup**: We have a room that is 10 meters high, with a partition that is 7 meters high. This creates a gap of 3 meters between the top of the partition and the ceiling of the room. 2. **Identifying the Waves**: The two types of waves we are considering are light waves and sound waves. Both can be obstructed by the partition, but they behave differently when encountering the gap. 3. **Concept of Diffraction**: Diffraction is the phenomenon where waves bend around obstacles or spread out after passing through small openings (slits). The ability of a wave to diffract depends on the relationship between the size of the opening and the wavelength of the wave. 4. **Wavelength Comparison**: - The wavelength of light is much smaller than the gap size (3 meters), which is not comparable. - The wavelength of sound is much larger and is comparable to the gap size. 5. **Application of Diffraction**: - Since the gap (3 meters) is comparable to the wavelength of sound, sound waves can diffract through the gap and reach the other student. - Light waves, on the other hand, do not diffract significantly because their wavelength is much smaller than the gap size, and thus they cannot bend around the partition. 6. **Conclusion**: The two students can converse because sound waves can diffract through the gap created by the partition and the ceiling, while light waves cannot. Therefore, even though one student cannot see the other, they can still communicate through sound. **Final Answer**: The two students can converse because sound waves can diffract through the 3-meter gap above the partition, while light waves cannot due to their much smaller wavelength compared to the gap size. ---
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