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Question

# The distances of two planets from the sun are 1012 m and 1010m respectively. The ratio of the time periods of these planets is

A
1000 : 1
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B
100 : 1
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C
10 : 1
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D
1 : 1
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Solution

## The correct option is A 1000 : 1Distance of two planets from sun, r1=1012m and r2=1010mRelation between time period (T) and distance of the planet from the sun is,T2∝r3 and T=r32Therefore,T1T2=(r1r2)32=(10121010)32=10001So the ratio of the time periods of the planet is 1000:1

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