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Three concentric metallic spherical shells of radii R, 3R,5R are given charges Q1 Q2 Q3 respectively it is found that the surface charge density on the outer surface of the shells are equal then find the ratio of the charges given to the shells Q1 Q2 Q3.

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Answer 1

Given Q1=Q2=Q3

$Q1/4πR²=$

$Q2/4π4R²=$

$Q3/4π9R²=$

$\huge\mathbb\fcolorbox{cy}{cyan}{To find}$

Q1 : Q2 : Q3

k4πR² : k16πR² : k36πR²

$\huge\mathbb\fcolorbox{cy}{pink}{1 : 4 : 9}$