A string is clamed at both the ends and it is vibrating in its $4^{th}$ harmonic. The equation of the stationary wave is $Y =0.3\,sin\,(0.157\,x) \,cos\,(200\pi t)$. The length of the string is ..... $m$ (all quantities are in $SI$ units)

  • [JEE MAIN 2019]
  • A

    $60$

  • B

    $80$

  • C

    $40$

  • D

    $20$

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  • [IIT 2024]