PYQ NEET- Motion In A Straight Line Kinematics L-3

Question: 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 $\mathrm{t}=\mathrm{n}-1$ to $\mathrm{t}=\mathrm{n}$. The the ratio $\frac{S_n}{S_{n+1}}$ is :#

A) $\frac{2 n}{2 n-1}$

B) $\frac{2 n-1}{2 n}$

C) $\frac{2 n-1}{2 n+1}$

D) $\frac{2 n+1}{2 n-1}$

Answer: $\frac{2 n-1}{2 n+1}$#

Sol:#

$\frac{S_n}{S_{n+1}}=\frac{\frac{a}{2}(2 n-1)}{\frac{a}{2}(2(n+1)-1)}=\frac{2 n-1}{2 n+2-1}=\frac{2 n-1}{2 n+1}$