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According to Kepler's law of planetary m...

According to Kepler's law of planetary motion if T represents time period and r is orbital radius, then for two planets these are related as:

A

`((T_(1))/( T _(2)))^(2) = ((r_(1))/( r _(2))) ^(2)`

B

`((T_(1))/( T _(2)))^((3)/(2)) = (r _(1))/( r _(2))`

C

`((T_(1))/( T _(2)))^(2) = ((r _(1))/( r _(2)) ) ^(3) `

D

`((T_(1))/( T _(2)))= ((r _(1))/( r _(2))) ^((3)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
C, D
`T ^(2) prop r ^(3)`
`implies (( T _(1))/(T _(2)) ) ^(2) = (( r _(1))/(r _(2))) ^(3)`
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