A solid sphere of mass 'M' and radius 'a' is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance '3a' from the centre will be:

\(\frac{{2{\rm{GM}}}}{{3{{\rm{a}}^2}}}\)

\(\frac{{2{\rm{GM}}}}{{9{{\rm{a}}^2}}}\)

\(\frac{{{\rm{GM}}}}{{9{{\rm{a}}^2}}}\)

\(\frac{{{\rm{GM}}}}{{3{{\rm{a}}^2}}}\)

A solid sphere of mass 'M' and radius 'a' is surrounded by a uniform c

1.	A solid sphere of mass 'M' and radius 'a' is surrounded by a uniform concentric spherical shell of thickness 2a and mass 2M. The gravitational field at distance '3a' from the centre will be:
A.	\(\frac{{2{\rm{GM}}}}{{9{{\rm{a}}^2}}}\)
B.	\(\frac{{{\rm{GM}}}}{{9{{\rm{a}}^2}}}\)
C.	\(\frac{{{\rm{GM}}}}{{3{{\rm{a}}^2}}}\)
D.	\(\frac{{2{\rm{GM}}}}{{3{{\rm{a}}^2}}}\)
Answer» D. \(\frac{{2{\rm{GM}}}}{{3{{\rm{a}}^2}}}\)

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