Q. The period of a body under SHM is represented by $T = P^{a}D^{b}S^{c}$; where $P$ is pressure, $D$ is density and $S$ is surface tension. The value of $a,\ b$ and $c$ are
A) $- \frac{3}{2},\frac{1}{2},1$
B) $- 1, - 2,\ 3$
C) $\frac{1}{2}, - \frac{3}{2}, - \frac{1}{2}$
D) $1,\ 2,\frac{1}{3}$
Explanation
By submitting the dimensions of each quantity we get $T = \left\lbrack ML^{- 1}T^{- 2} \right\rbrack^{a}\left\lbrack L^{- 3}M \right\rbrack^{b}\left\lbrack MT^{- 2} \right\rbrack^{c}$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.