Q. The velocity of a particle $(v)$ at an instant $t$ is given by $v = at + bt^{2}$ the dimension of $b$ is
A) $L$
B) $LT^{- 1}$
C) $LT^{-}2$
D) $LT^{- 3}$
Explanation
$v = at + bt^{2}$ $\lbrack v\rbrack = \lbrack bt^{2}\rbrack$ or $LT^{- 1} = bT^{2} \Rightarrow \lbrack b\rbrack = \lbrack LT^{- 3}\rbrack$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.