Match Group A with Group B :Group AGroup BP : Biot number1 : Ratio of buoyancy to viscous forceQ : Grashof number2 : Ratio of inertia force to viscous forceR : Prandtl number3 : Ratio of momentum to thermal diffusivitiesS : Reynolds number4 : Ratio of internal thermal resistance to boundary layerthermal resistance

Explanation:Biot Number (Bi): It is the ratio of conductive resistance within the body to convective resistance at the surface.\({B_i} = \frac{{conductive\;resistance\;within\;body}}{{convective\;resistance\;at\;surface}} = \frac{{H{L_c}}}{k}\)It is USED in conduction mode of heat transfer.Grashoff NumberIt indicates the relative STRENGTH of the buoyant to viscous forces.\({G_r} = \frac{{gB\left( {{T_s} - {T_\infty }} \RIGHT)L_c^3}}{{{\NU ^2}}}\)It is used in free convection.It has a role in free convection similar to that played by Reynold's number in forced convection.Prandtl NumberIt is the ratio of molecular diffusivity of momentum to molecular diffusivity of heat.\({P_r} = \frac{{molecular\;diffusivity\;of\;momentum}}{{molecular\;diffusivity\;of\;heat}} = \frac{{\mu {c_p}}}{k}\)It is used in convection mode of heat transfer.Reynold’s NumberIt is the ratio of inertia force to viscous force.\({R_e} = \frac{{inertia\;force}}{{viscous\;force}} = \frac{{\rho vL}}{\mu }\)It is used in fluid flow.