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Motion in A Straight Line question

2021 · Q156
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Motion in A Straight Line question

2021 · Q156

NEETPhysicsMotion in A Straight LineMCQ+4 / −1
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. The the ratio SnSn+1{{{S_n}} \over {{S_{n + 1}}}}Sn+1​Sn​​ is :
  1. A
    2n2n−1{{2n} \over {2n - 1}}2n−12n​
  2. B
    2n−12n{{2n - 1} \over {2n}}2n2n−1​
  3. C
    2n−12n+1{{2n - 1} \over {2n + 1}}2n+12n−1​
  4. D
    2n+12n−1{{2n + 1} \over {2n - 1}}2n−12n+1​
View written solutionFree

Correct answer: C

SnSn+1=a2(2n−1)a2(2(n+1)−1)=2n−12n+2−1=2n−12n+1{{{S_n}} \over {{S_{n + 1}}}} = {{{a \over 2}(2n - 1)} \over {{a \over 2}\left( {2(n + 1) - 1} \right)}} = {{2n - 1} \over {2n + 2 - 1}} = {{2n - 1} \over {2n + 1}}Sn+1​Sn​​=2a​(2(n+1)−1)2a​(2n−1)​=2n+2−12n−1​=2n+12n−1​

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