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A conducting sphere of radius $10 \mathrm{~cm}$ is charged with $10 \mu \mathrm{C}$. Another uncharged sphere of radius $20 \mathrm{~cm}$ is allowed to touch it for some time. After that if the spheres are separated, then surface density of charges on the spheres will be in the ratio of
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$1: 2$
Radius of conducting sphere $\left(R_1\right)=10 \mathrm{~cm}$ charge on the conducting sphere $=10 \mu \mathrm{C}$ and radius of uncharged sphere $\left(R_2\right)=20 \mathrm{~cm}$ For a spherical conductor, the density of charge is proportional to its radius. Therefore ratio of density of charges of the spheres will be $1: 2$.
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