Melting point of the pairs (Mn,Fe),(Tc,Ru), and (Ree,Os) : Mn,Tc,Re are same group elements.
Also, Fe,Bu,Os, are same group elements.
Mn,Fe Fe has a higher melting point than Mn,Mn\left[\begin{array}{cc}M_n & F_e \\ T_c & R_u \\ R_e & O_s\end{array}\right]"Meltingpointpropertyisdirectlyproportionaltothestrengthofmetallicbond,whichproportionaltothedelocalizeelectrons.Themoreelectronsarefreetomovearound,thestrongerwillbethemetallicbond."ForMnand\mathrm{Fe}, \quad\left(\mathrm{Mn}-d^5 s^2, \mathrm{Fe}-d^6 s^2\right).M_nhasaweakermetallicbondduetoitselectronicconfiguration(halffilledconfiguration).Thehalffilledconfiguration(stable)resultsinlessdelocalizationofelectronsandweakerattractionbetweenatoms,requiringlessenergytobreakapartandmet.But,Fehaslocalizedelectronsandhencestrongermetallicbonds,leadingtohighermeltingpoint.T_c, R uTchaslowermeltingpointthan\mathrm{Ru}, \mathrm{Tc}_c
Tc−d5s2,Ru−d7s1 Tc has halt filled d-orbitals, which makes its electronic configuration stable.
This configuration causes the nucleus to hold the electrons tightly, which weakens the metallic bond and it results in lower melting point. Re,Oss Re has a higher melting point than Oss,OsThehighermeltingpointofR eisduetothestrengthofatomicbonding.RetramsstrongmetallicbondsthanUs.DuetothelangersizeofRe,itsvalenceelectionsarenottightlyhoodedbythenucleusandhence,thevalenceelectionscausesstrongermetallicbond.Asaresult,meltingpointincreases.Osmiumtillsweakermetallicbondsthan\operatorname{Re}duetoitscrystalarrangementandelectronicStructure.ComparingRe,andOS,R_eisslightlysmallerinatomicradiuswhichallowsatomstopackmoreefficientlythanisandhasstrongerbondsandhighermeetingpoint.So,\begin{aligned} & M_n Correct answer: Option 4) \mathrm{Mn}