The time period of a simple harmonic motion is 8 s At t=0. it is at the mean position.The ratio of the distance travelled bi it in the first and second seconds is,

Options

A. 1/2
B. `1/sqrt(2)`
C. `1/sqrt(2-1)`
D. `1/sqrt(3)`

Answer

C

Explanation

`y_2=A-A/sqrt2`
`(y_1)/(y_2)=(A/sqrt(2))/(A-A/sqrt2)=(A/sqrt2(2))/
((A sqrt((2-1)))/sqrt2)=1/(sqrt2-1) `