Two strings \( A B \) and \( B C \) having mass densities \( \mu_{1} \) and \( \mu_{2} \) are ti...

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Two strings \( A B \) and \( B C \) having mass densities \( \mu_{1} \) and \( \mu_{2} \) are tied at \( B \) and are stretched between \( A \) and \( C \). A wave pulse is generated at end \( A \) and progresses towards junction \( B \). It is given that \( \left(\mu_{2}\mu_{1}\right) \).
If the magnitude of velocity of the reflected wave and transmitted wave are \( v_{r} \) and \( v_{t} \) respectively, then the correct relation is
(a) \( v_{r}v_{t} \)
(b) \( v_{r}v_{t} \)
(c) \( v_{r}v_{t} \) and \( v_{t}=0 \)
(d) None of the above
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