Question

A particle starts sliding down a frictionless inclined plane. If ` S_(n) ` is the distance travelled by it from time ` t = n-1 sec `, to `t = n sec`, the ratio ` (S_(n))/(s_(n+1))` is
A. `(2n-1)/(2n)`
B. `(2n+1)/(2n-1)`
C. `(2n-1)/(2n+1)`
D. `(2n)/(2n+1)`

Answer 1

Correct Answer - C
`S_(n)=u+a/2(2n-1)=a/2 (2n-1)`
`S_((n+1))=x+a/2 (2n+1)=a/2 (2n+1)`
`rArr S_(n)/S_(n+1)=((2n-1))/((2n+1))`