It is claimed that the two cesium clocks, if allowed t run for 100 yr, free from any disturbance, may differ by only about `0.02s`. Which of the following is the corret fractional error?

Options

A. `10^(-9)`
B. `10^(-5)`
C. `10^(-13)`
D. `10^(-11)`

Explanation

(d) Time interval `=100` years
`=100xx365xx24xx60xx60s`
`=3.155xx10^(9)s`
Differene in time `=0.2s`
`:.` Fractional error `=("Difference in time" (s))/("Time interval"(s))`
`=0.2/(3.155xx10^(9))=6.34xx10^(-12)=10xx10^(-12)~~10^(-11)`