Q. The velocity of a body is given by the equation $v = \frac{b}{t} + ct^{2} + dt^{2}$ The dimensional formula of $b$ is
A) $\lbrack M^{0}LT^{0}\rbrack$
B) $\lbrack ML^{0}T^{0}\rbrack$
C) $\lbrack M^{0}L^{0}T\rbrack$
D) $\lbrack MLT^{- 1}\rbrack$
Explanation
Dimensionally. $\left\lbrack \frac{b}{t} \right\rbrack = \lbrack v\rbrack$ or $\lbrack b\rbrack = \lbrack vt\rbrack = \lbrack L\rbrack$.
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.