Four identical particles of mass M are located at the corners of a square of side ‘a’. What should be their speed if each of them revolves under the influence of others' gravitational field in a circular orbit circumscribing the square?

\(1.21\sqrt {\frac{{{\rm{GM}}}}{{\rm{a}}}}\)

\({\rm{}}1.35\sqrt {\frac{{{\rm{GM}}}}{{\rm{a}}}}\)

\(1.16\sqrt {\frac{{{\rm{GM}}}}{{\rm{a}}}}\)

\(1.41\sqrt {\frac{{{\rm{GM}}}}{{\rm{a}}}}\)

Four identical particles of mass M are located at the corners of a squ

1.	Four identical particles of mass M are located at the corners of a square of side ‘a’. What should be their speed if each of them revolves under the influence of others' gravitational field in a circular orbit circumscribing the square?
A.	\({\rm{}}1.35\sqrt {\frac{{{\rm{GM}}}}{{\rm{a}}}}\)
B.	\(1.16\sqrt {\frac{{{\rm{GM}}}}{{\rm{a}}}}\)
C.	\(1.21\sqrt {\frac{{{\rm{GM}}}}{{\rm{a}}}}\)
D.	\(1.41\sqrt {\frac{{{\rm{GM}}}}{{\rm{a}}}}\)
Answer» C. \(1.21\sqrt {\frac{{{\rm{GM}}}}{{\rm{a}}}}\)

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Four identical particles of mass M are located at the corners of a square of side ‘a’. What should be their speed if each of them revolves under the influence of others' gravitational field in a circular orbit circumscribing the square?

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