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Consider the equation \( \frac{\mathrm{d}}{\mathrm{dt}}\left(\int \overrightarrow{\mathrm{F}} \cdot \mathrm{d} \overrightarrow{\mathrm{S}}\right)=\mathrm{A}(\overrightarrow{\mathrm{F}} \cdot \overrightarrow{\mathrm{p}}) \) where \( \overrightarrow{\mathrm{F}}= \) force, \( \overrightarrow{\mathrm{s}}= \) displacement, \( \mathrm{t}= \) time and \( \overrightarrow{\mathrm{p}}= \) momentum. The dimensional formula of A will be :
a. \( \mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{0} \)
b. \( \mathrm{ML}^{0} \mathrm{~T}^{0} \)
c. \( \mathrm{M}^{-1} \mathrm{~L}^{0} \mathrm{~T}^{0} \)
d. \( \mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{-1} \)
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