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CBSE Class 9 Answered

when radon clocks are on earth, they get completed at a slow rate in converse when they are in space rotating arond the earth in a sattelite. for example,                     if there is 5 kg weight of radon clock on earth, it reduces to 4kg in one day while in space while rotating it only reduces to 4.5 kg in one day. Why so?
Asked by bhaveshbhalja | 12 Nov, 2018, 09:50: PM
answered-by-expert Expert Answer
This time varying effect is called as " Slowing down of moving clock ".
This effect is explained by Albert Einstein in his special theory of relativity.
When the clock is moving with a speed v, the clock slows down in comparision to the clock which is at rest.
This is known as time dilatation and the equation for time dilation is given by
 
begin mathsize 12px style t space equals space t subscript 0 square root of 1 minus v squared over c squared end root end style
where t0 is the time observed from the clock which is at rest, t is the dilated time, i.e., time observed from a moving clock
which is moving with speed v. c is speed of light.
 
when some mass of radon is on earth, life period of the radioactivity is measured using a clock which is at rest
with reference to an interial frame of reference on earth.
Hence if the change in mass of radon due to radioactivity is observed in a duration of one day and
compared with the change in mass of radon that was moving in a satellite, the time period is less in satellite
because the clock in satellite is moving with appreciable speed. Time period is less means less radioactivity.
Hence due to less radioactivity, remaining mass of radon will be more in comparision with the remaining mass of radon on earth.
Answered by Thiyagarajan K | 13 Nov, 2018, 03:18: AM
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