Three particles P, Q and R are placed as per given figure. Masses of P, Q and R are \[\sqrt{3}m,\,\,\sqrt{3}m\] and m respectively. The gravitational force on a fourth particle S of mass m is equal to

\[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\]in SQ direction and \[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\] in ST direction

\[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\]in ST direction only

\[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\]in SQ direction and \[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\]in SU direction

\[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\] in SQ direction only

Three particles P, Q and R are placed as per given figure. Masses of P

1.	Three particles P, Q and R are placed as per given figure. Masses of P, Q and R are \[\sqrt{3}m,\,\,\sqrt{3}m\] and m respectively. The gravitational force on a fourth particle S of mass m is equal to
A.	\[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\]in ST direction only
B.	\[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\]in SQ direction and \[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\]in SU direction
C.	\[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\] in SQ direction only
D.	\[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\]in SQ direction and \[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\] in ST direction
Answer» D. \[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\]in SQ direction and \[\frac{\sqrt{3}G{{M}^{2}}}{2{{d}^{2}}}\] in ST direction