Let the charges on inner and outer spheres are Q1 and Q2
since charge density '\σ' is same for bothspheres, so σ=4πr2Q1=4πR2Q2⇒Q2Q1=R2r2Q1+Q2=Q⇒R2Q2r2+Q2=Q⇒Q2=(r2+R2)QR2Q1=R2r2⋅(R2+r2)QR2=(R2+r2)Qr2 Potential at centre 'O' =rkQ1+RkQ2=k[r(R2+r2)Qr2+R(R2+r2)QR2]=(R2+r2)kQ(r+R)=4πϵ01(R2+r2)(R+r)Q