The position \( x \) of a particle at time \( t \) is given by- \[\mathrm{x}=\frac{\mathrm{V}_{0...

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The position \( x \) of a particle at time \( t \) is given by-
\[\mathrm{x}=\frac{\mathrm{V}_{0}}{\mathrm{a}}\left(1-\mathrm{e}^{-\mathrm{at}}\right)\]
Where \( \mathrm{v}_{0} \) is a constant and \( \mathrm{a}>0 \).
The dimensions of \( \mathrm{v}_{0} \) and a are:
a. \( \mathrm{M}^{0} \mathrm{~L} \mathrm{~T}^{-1} \) and \( \mathrm{T}^{-1} \)
b. \( \mathrm{M}^{0} \mathrm{~L} \mathrm{~T}^{0} \) and \( \mathrm{T}^{-1} \)
c. \( \mathrm{M}^{0} \mathrm{~L} \mathrm{~T}^{-1} \) and \( \mathrm{LT}^{-2} \)
d. \( \mathrm{M}^{0} \mathrm{~L} \mathrm{~T}^{-1} \) and \( \mathrm{T} \)
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