Force $(F)$ and density $(d)$ are related as $F\, = \,\frac{\alpha }{{\beta \, + \,\sqrt d }}$ then dimension of $\alpha $ are

  • A

    $[{M^{3/2}}\,{L^{ - 1/2}}\,{T^{ - 2}}]$

  • B

    $[{M^{3/2}}\,{L^{  1/2}}\,{T^{ 2}}]$

  • C

    $[{M^{3/2}}\,{L^{ - 1/2}}\,{T^{2}}]$

  • D

    $[{M^{-3/2}}\,{L^{ - 1/2}}\,{T^{ 2}}]$

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