The force is given in terms of time $t$ and displacement $x$ by the equation
${F}={A} \cos {Bx}+{C} \sin {Dt}$
The dimensional formula of $\frac{{AD}}{{B}}$ is -

  • [JEE MAIN 2021]
  • A
    $\left[{ML}^{2} {T}^{-3}\right]$
  • B
    $\left[{M}^{2} L^{2} {T}^{-3}\right]$
  • C
    $\left[{M}^{1} {L}^{1} {T}^{-2}\right]$
  • D
    $\left[{M}^{0} {LT}^{-1}\right]$

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  • [AIEEE 2012]

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  • [JEE MAIN 2020]