Please answer this question with qqwweerrttitt

Solution
[GMeMs ]=?we know, F=GM1M2R2hence,GM1M2=FR2[GM1M2]=[FR2]=[MLT-2L2]=[ML3T-2]hence,[GMeMs ]=[ML3T-2][3kT/M]=?we know,Vrms=[3kT/M]hence,[3kT/M]=[Vrms2]=[M0L2T-2][F2/q2B2]=?we knowF=qvB (Lorentz force0henceF/qB=v[F2/q2B2]=[v2]=[M0L2T-2][GMe/Re]=?we knowg=[GMe/Re]hence,[GMe/Re]=[g]=[M0LT-2]

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