A crest pulse reflects from a fixed end. What shape returns?

A trough pulse reflects from a free end. What shape returns?

State the boundary condition for a fixed end on a string.

State the boundary condition for a free end on a string.

A pulse travels at \(20\,\mathrm{m\,s^{-1}}\) toward a rigid wall \(3.0\,\mathrm{m}\) away. How long does it take to return to its starting point after reflection?

Does reflection from a fixed end in the same medium change the wave speed? Explain briefly.

A pulse returns inverted after reflecting from an unknown boundary. Infer the boundary type and justify the conclusion using the boundary condition rather than a memorized rule.

A standing wave on a string has a node at the left boundary and an antinode at the right boundary. Determine the effective boundary type at each end and explain the reflection phase change associated with each boundary.