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The mean distance of Mars from the sun i...

The mean distance of Mars from the sun in `1.524` times that of the Earth from the sun. Find the number of years requires for Mars make one revolution about the Sun.

Text Solution

Verified by Experts

For plantes revolving around the Sun `T^(2)propr^(3)`
`implies (T_(1)^(2))/(T_(2)^(2))=(r_(1)^(3))/(r_(3)^(2))=`
(`T_(1)=` time period of Mars,
`T_(2)=` time period of the Earth)
`implies(T_(1))/(T_(2))=((r_(1))/(r_(2)))^(3//2)impliesT_(1)=T_(2)((r_(1))/(r_(2)))^(3//2)=` (1 year) `(1.524)^(3//2)`
`=1.88`years
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