\( A \) force \( F \) is given by \( F= \) at \( +b t^{2} \), where \( t \) is time. What are th...

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\( A \) force \( F \) is given by \( F= \) at \( +b t^{2} \), where \( t \) is time.
What are the dimensions of \( a \) and \( b \)
\( \mathrm{P} \)
(1) \( \left[M L T^{-3}\right. \) and \( \left.M L^{2} T^{-4}\right] \)
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(2) \( \left[M L T^{-3}\right. \) and \( \left.L M T^{-4}\right] \)
(3) \( \left[M L T^{-1}\right. \) and \( \left.M L T^{0}\right] \)
(4) \( \left[M L T^{-4}\right. \) and \( \left.M L T^{1}\right] \)
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