JEE Advanced2009PhysicsElectrostaticsActual
Three concentric metallic spherical shells of radii R, 2 R, 3 R are given charges Q₁, Q₂, Q₃ , respectively. It is found that the surface charge densities on the outer surfaces of the shells are equal. Then, the ratio of the charges given to the shells, Q₁: Q₂: Q₃ , is
Options
- A1: 2: 3
- B1: 3: 5
- C1: 4: 9
- D1: 8: 18
Correct answer
B. 1: 3: 5
Step-by-step solution
Q₁= (4 R^2 )=4 R^2 aligned & Q₂=16 R^2-Q₁=12 R^2 & Q₃=36 R^2-16 R^2=20 R^2 & Q₁: Q₂: Q₃=1: 3: 5 aligned