Three particles each of mass ‘M’ are kept at the vertices of an equilateral triangle of side ‘a’. A particle of mass ‘m’ is placed on one of the side at the midpoint. The force on ‘m’ is
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a
3GMm4a2
b
4GMm3a2
c
3GMm4a2
d
3GMm3a2
answer is B.
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Detailed Solution
Force on ‘m’ due to mass at A and C cancelled i .e F1→=F2→ Force of attraction between two masses=G×Mmr2;universal gravitation constant=G; mass=m; distance=r; Force on ‘m’ is only due to mass at ‘B’=F=G×MmBD2∴F=G×Mm32a2F=43a2×GMm