The velocity \( v \) (in \( \mathrm{cm} / \mathrm{sec} \) ) of a particle is given in terms of t...

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The velocity \( v \) (in \( \mathrm{cm} / \mathrm{sec} \) ) of a particle is given in terms of time \( t \) (in \( s e c \) ) by the relation \( v=a t+\frac{b}{t+c} \); the dimensions of \( a, b \) and \( c \) are
[CPMT 1990; CBSE PMT 2006]
(a) \( a=L^{2}, b=T, c=L T^{2} \)
(b) \( a=L T^{2}, b=L T, c=L \)
(c) \( a=L T^{-2}, b=L, c=T \)
(d) \( a=L, b=L T, c=T^{2} \)
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