A small block slides down on a smooth inclined plane, starting from rest at time t=0 . Let S_{n} be

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2.Motion in Straight Line

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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 $\mathrm{t}=\mathrm{n}-1$ to $\mathrm{t}=\mathrm{n} .$ Then, the ratio $\frac{\mathrm{S}_{\mathrm{n}}}{\mathrm{S}_{\mathrm{n}+1}}$ is

A

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

B

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

C

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

D

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

(NEET-2021)

Solution

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

Standard 11

Physics

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