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Find the minimum radius for a planet of ...

Find the minimum radius for a planet of mean density `rho` and temperature `T` which can detain oxygen in its atmosphere. (`M_(0)=`Molecular weight of Oxygen and `G=`Universal Gravitational constant)

A

`sqrt((7)/(8)(RT)/(GM_(0)rhopi))`

B

`sqrt((9)/(8)(RT)/(GM_(0)rhopi))`

C

`sqrt((15)/(9)(RT)/(GM_(0)rhopi))`

D

`sqrt((15)/(8)(RT)/(GM_(0)rhopi))`

Text Solution

Verified by Experts

`(3RT)/(2)=(M_(0)GM_(p))/(R_(p))` and use `M_(p)=(4)/(3)rho pi R_(p)^(3)`
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