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Question
A wave pulse, travelling on a two-piece string, gets partially reflected and partially transmitted at the junction. The reflected wave is inverted in shape as compared to the incident one. If the incident wave has wavelength λ and the transmitted wave λ'
Options
\[\lambda' > \lambda\]
\[\lambda' = \lambda\]
\[\lambda' < \lambda\]
nothing can be said about the relation of \[\lambda \text{ and } \lambda'\]
Solution
\[\lambda' < \lambda\]
As \[v = \sqrt{\frac{f}{\mathrm{\mu}}}\]
A wave pulse travels faster in a thinner string.
The wavelength of the transmitted wave is equal to the wavelength of the incident wave because the frequency remains constant.
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