A composition string is made up by joining two strings of different masses per unit length $\rightarrow \mu$ and $4\mu$ . The composite string is under the same tension. A transverse wave pulse $: Y = (6 mm) \,\,sin\,\,(5t + 40x),$ where $‘t’$ is in seconds and $‘x’$ in meters, is sent along the lighter string towards the joint. The joint is at $x = 0$. The equation of the wave pulse reflected from the joint is

  • A

    $(2 mm) \,\, sin\,\,(5t - 40x)$

  • B

    $(4 mm) \,\,sin\,\,(40x - 5t)$

  • C

    $- (2 mm) \,\,sin\,\,(5t - 40x)$

  • D

    $(2 mm)\,\, sin \,\,(5t - 10x)$

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