Two atomic clocks allowend to run for a average life of an indian (say 70 years) differ by 0.2 s only. Calculate the accuracy of standard atomic clock in measuring a time interval of 1 sec.

Answer

`0.05`

Explanation

Time interval = 70 yrs `=(70 xx 365 +17)` days (17 additional days are on account of 17 leap years during 70 years).
` = ` 25567 days `= 25567 xx 24 xx 60 xx 60` sec
Difference = 0.2s
`:. ` Fractional error `= (0.2)/(25567 xx 24 xx 60 xx 60)`
`= 9.04xx10^(-11) ~~ 10^(-10)`
Hence, accuracy shown by atomic clock is `10^(-10)` s in
1 sec or 1 sec in `10^(10)` s.