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NEET 2021 · Equations of Kinematics

Equations of Kinematics question from NEET 2021

Q28NEET 2021Medium

Equations of Kinematics

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 $\frac{S_n}{S_{n+1}}$ is:

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Answer: (c)

Smooth incline: constant acceleration from rest, so $S_n = \frac{a}{2}(2n - 1)$ .
$S_{n+1} = \frac{a}{2}(2n + 1)$
$\frac{S_n}{S_{n+1}} = \frac{2n - 1}{2n + 1}$
So the answer is (c) $\frac{2n-1}{2n+1}$ .

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