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 $\lambda$ and the transmitted wave $\lambda$'.
(a) $\lambda \text{'}>\lambda$
(b) $\lambda \text{'}=\lambda$
(c) $\lambda \text{'}<\lambda$
(d) nothing can be said about the relation of $\lambda \mathrm{and}\lambda \text{'}$.

Answer 1

(c) $\lambda \text{'}<\lambda$

As $v=\sqrt{\frac{f}{\mathit{\mu }}}$
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.