The equation of a wave is given by$Y = A\sin \omega \left( {\frac{x}{v} - k} \right)$where $\omega $ is the angular velocity and $v$ is the linear velocity. The dimension of $k$ is

  • A

    $LT$

  • B

    $T$

  • C

    ${T^{ - 1}}$

  • D

    ${T^2}$

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  • [JEE MAIN 2023]