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The magnitudes of the gravitational fiel...

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 :

A

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

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
A, B
`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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