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A body starts from rest and moves with a...

A body starts from rest and moves with a uniform acceleration. The ratio of the distance covered in the nth sec to the distance covered in n sec is

A

`(2)/(n^(2))-(1)/(n)`

B

`(2)/(n^(2))+(1)/(n)`

C

`(2)/(n)-(1)/(n^(2))`

D

`(1)/(n)+(1)/(n_(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
`(S_(N))/(S)=((1)/(2)a(2n-1))/((1)/(2)an^(2))=(2n)/(n^(2))-(1)/(n)-(1)/(n^(2))`.
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Knowledge Check

  • A body starts from rest and travels with uniform acceleration the time taken by the body to cover the whole distance is t. Then the time taken the body to cover the second half of the distance is

    A
    `tsqrt(2)`
    B
    `t(1-(1)/(sqrt(2)))`
    C
    `t(1 + (1)/(sqrt(2)))`
    D
    `t((1)/(sqrt(2))-1)`

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