UNIVERSE attracts every other body with a force, which is directly proportional to the product of their masses and inversely proportional to the square of the distance between their centers.The direction of the force is along the line joining the particles.The magnitude of the gravitational force F is given by:\(F = G\frac{{{M_1}{M_2}}}{{{R^2}}}\)Where G = universal gravitational constant, M1 = mass of 1st body, M2 = mass of 2nd body and R = distance between the two bodies.EXPLANATION:The dimensional formula is defined as the expression of the PHYSICAL quantity in terms of mass, length, time and ampere.The above equation can be written as,\(\Rightarrow G = \frac{{F \TIMES {R^2}}}{{{M_1}{M_2}}}\)Now,Force = mass × acceleration∴ Dimensional formula of force (F) = [M] × [LT-2] = [MLT-2]Dimensional formula of radius (R2) = [L2]Dimensional formula of radius (M) = [M]Dimensional formula of universal gravitational constant (G)\(\Rightarrow G = \frac{{ML{T^{ - 2}} \times {L^2}}}{{{M^2}}} = \frac{{M{L^3}{T^{ - 2}}}}{{{M^2}}} = {M^{ - 1}}{L^3}{T^{ - 2}}\)∴ The dimensional formula of universal gravitational constant G is [M-1L3T-2].Some Basic Dimensional formula:Sl. No.QuantityCommon SymbolSI UnitDimension1Velocityv, ums-1LT-12Accelerationams-2LT-23ForceFNewton (N)M L T-24MomentumpKg-ms-1M L T-15Gravitational constantGN-m2Kg-2L3 M-1 T-26Gravitational potential PJ-kg-1M0 L2 T-27Bulk ModulusBNm2M L-1 T-28EnergyE, U, Kjoule (J)M L2 T-29HeatQjoule (J)M L2 T-210PressurePNm-2 (Pa)M L-1 T-211Electric FieldEVm-1, NC-1M L I-1 T-312Potential (voltage)VV, JC-1M L2 I-1 T-313Magnetic FieldBTesla (T), WB m-1M I-1T-214Magnetic FluxΦBWbM L2 I-1 T-215ResistanceROhm (Ω)M L2 I-2 T-316Electromotive ForceEVolt (V)M L2 I-1 T-317 Densityρ, d kg/m3ML-3 T0