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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 SnSn+1 is -

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Question

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 `S_n/(S_(n + 1))` is ______.

Options

  • `(2n - 1)/(2n + 1)`

  • `(2n + 1)/(2n - 1)`

  • `(2n)/(2n - 1)`

  • `(2n - 1)/(2n)`

MCQ
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Solution

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 `S_n/(S_(n + 1))` is `(2n - 1)/(2n + 1)`.

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