Kelvi

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:

medium

Motion in a Straight Line

2021

physics

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

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

Explanation

To solve this problem, we need to analyze the motion of the block on the inclined plane. $\\$ Given: $\\$ • The block starts from rest, so initial velocity $u = 0. \\$ • The motion is uniformly accelerated due to gravity along the incline. $\\$ The distance $S_n$

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

Explanation

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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: