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The distance of the two planets from the...

The distance of the two planets from the Sun are `10^(13)m` and `10^(12) m`, respectively. Find the ratio of time periods of the two planets.

A

`1/(sqrt(10))`

B

`100`

C

`10/(sqrt(10))`

D

`sqrt10`

Text Solution

Verified by Experts

The correct Answer is:
C
`T^(2)alphaa^(3)`
`T_(1)^(2)prop(10^(13))^(3)`
`(T^(2))^(2)prop(10^(12))^(3)`
`:. (T^(1))/(T^(2))=((10^(13))/(10^(13)))^(3/2)implies(T^(1))/(T^(2))=10//sqrt(10)`
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