The velocity $v$ (in $cm/\sec $) of a particle is given in terms of time $t$ (in sec) by the relation $v = at + \frac{b}{{t + c}}$ ; the dimensions of $a,\,b$ and $c$ are

  • [AIPMT 2006]
  • A

    $a = {L^2},\,b = T,\,c = L{T^2}$

  • B

    $a = L{T^2},\,b = LT,\,c = L$

  • C

    $a = L{T^{ - 2}},b = L,\,c = T$

  • D

    $a = L,\,b = LT,\,c = {T^2}$

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