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Two atomic clocks are allowed to run for...

Two atomic clocks are allowed to run for 100 years and they differ by 0.1s only. What will be the accuracy of standard atomic clock in measuring 1s?

Text Solution

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Given, time, t= 100 years
`=(100xx365+24)` days (24 days added due to 24 leap years in 100 years)
t= 36524 days `= 36524xx86400s`
Also, `" "trianglet=0.1s`
Fractional error in masurment of time
`(trianglet)/(t)=(0.1)/(36524xx86400)=0.32xx10^(-10)`
Accuracy shown by atomic clock is `0.32xx10^(-10)` part in 1s.
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