Physics · PYQ NEET UG 2021
हिन्दीA 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:
Correct answer · Option 1
\( \frac{2n - 1}{2n + 1} \)
Explanation
The distance travelled in the \( n \)-th second starting from rest is given by \( S_n = \frac{a}{2}(2n - 1) \). Therefore, \( \frac{S_n}{S_{n+1}} = \frac{2n - 1}{2(n+1) - 1} = \frac{2n - 1}{2n + 1} \).