Question

The figures show four different schematics of two flexible strings. If all the ends are pulled tight, which of the options will form a knot?

• A.
• B.
• C.
• D.

Answer 1

The Correct Option is B, D

To determine which of the given schematic diagrams of two flexible strings will form a knot when pulled tight, we need to analyze the path each string takes and how they interact. A knot is formed when at least one string creates an over-and-under pattern with the other in such a way that it cannot be untangled without loosening.

Let us examine each option:

1. This configuration does not form a knot. The strings pass by each other without intertwining into a pattern that would prevent them from being separated when pulled tight.
2. This configuration forms a knot. The strings weave over and under each other, creating a structure that will hold when tension is applied.
3. This configuration does not form a knot. Similar to the first option, the strings pass each other without forming a complex intertwining path.
4. This configuration forms a knot. The pattern in which the strings intertwine will hold under tension and not allow for the strings to be separated easily.

Conclusion: The configurations that will form a knot when the ends are pulled tight are:

• 
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