1.

The magnitudes of the gravitational field at distance r_(1)andr_(2) from the centre of a uniform sphere of radius R and mass M are F_(1)andF_(2) respectively. Then :

Answer»

`(F_(1))/(F_(2))=(r_(1))/(r_(2))ifr_(1)ltR andr_(2)ltR`
`(F_(1))/(F_(2))=(r_(2)^(2))/(r_(1)^(2))ifr_(1)gtR andr_(2)gtR`
`(F_(1))/(F_(2))=(r_(1))/(r_(2))ifr_(1)gtR andr_(2)gtR`
`(F_(1))/(F_(2))=(r_(1)^(2))/(r_(2)^(2))ifr_(1)ltR andr_(2)ltR`

Solution :`G={{:((GMR)/R_(3)rltR)/((GM)/(R^(2))rgeR):}`
`(A)r,r_(2)ltR" ":." "(F_(1))/(F_(2))=(r_(1))/(r_(2))`
`(B)r,r_(2)gtR" ":." "(F_(1))/(F_(2))=(r_(2)^(2))/(r_(1)^(2))""]`


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