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A small point of mass m is placed at a distance 2R from the centre ‘O’ of a big uniform solid sphere of mass M and radius R. The gravitational force on ‘m’ due to M is F 1 . A spherical part of radius R/3 is removed from the big sphere as shown in the figure and the gravitational force on m due to remaining part of M is found to be F 2 . The value of ratio F 1 : F 2 is

1. 16 : 9
2. 11 : 10
3. 12 : 11
4. 12 : 9

Correct answer: 12 : 11

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