1. Tardigrade
  2. Question
  3. Physics
  4. A small block slides down on a smooth inclined plane, starting from rest at time t=0 . Let Sn be the distance travelled by the block in the interval t = n -1 to t = n . Then, the ratio ( S n / S n +1) is :

Question Error Report

Thank you for reporting, we will resolve it shortly

Back to Question

Q. A small block slides down on a smooth inclined plane, starting from rest at time $t=0 .$ Let $S_{n}$ be the distance travelled by the block in the interval $t = n -1$ to $t = n .$ Then, the ratio $\frac{ S _{ n }}{ S _{ n +1}}$ is :

NEETNEET 2021Motion in a Straight Line

Solution:

$S _{ n }=0+\frac{1}{2} a (2 n -1)$
$S _{ n +1}=0+\frac{1}{2} a (2( n +1)-1)$
$=\frac{1}{2} a (2 n +1)$
$\frac{ S _{ n }}{ S _{ n +1}}=\frac{(2 n -1)}{(2 n +1)}$