Q. The ratios of the distances traversed, in successive intervals of time by a body, falling from rest are
A) $1\ :3\ :5\ :7\ :9\ :\ldots$
B) $2\ :4\ :6\ :8\ :10\ :\ldots$
C) $1\ :4\ :7\ :10\ :13\ :\ldots$
D) None of these
Explanation
(a) Here, $u = 0,\ a = g$
Distance travelled in $n^{th}$ second is given by
$D_{n} = u + \frac{a}{2}(2n - 1)\ \therefore D_{n} \propto (2n - 1)$
$\therefore D_{1}:D_{2}:D_{3}\ :D_{4}\ :D_{5}\ldots = 1\ :3\ :5\ :7\ :9\ :\ldots$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.