The velocity of a moving particle depends upon time \( t \) as \( v= \) at \( +\frac{b}{t+c} \)....

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The velocity of a moving particle depends upon time \( t \) as \( v= \) at \( +\frac{b}{t+c} \). Then dimensional formula for \( \mathrm{b} \) is
\( \mathrm{P} \)
W
(1) \( \left[M^{0} L^{0} T^{0}\right] \)
(2) \( \left[M^{0} L^{1} T^{0}\right] \)
(3) \( \left[M^{0} L^{1} T^{-1}\right] \)
(4) \( \left[M^{0} L^{1} T^{-2}\right] \)
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