A) Hollow sphere will hold more charge
B) Solid sphere will hold more charge
C) Solid sphere will have uniform volume charge density
D) Both spheres will hold same charge
Correct Answer: D
Solution :
Capacitance of the solid sphere \[=4\pi {{\varepsilon }_{0}}R\] where, R is radius of the sphere. Capacitance of the hollow sphere \[=4\pi {{\varepsilon }_{0}}R\] Charge on the solid sphere \[=({{C}_{solid}})V=(4\pi {{\varepsilon }_{0}}R)(V)\] Charge on the hollow sphere \[=({{C}_{hollow}})(V)\] \[=(4\pi {{\varepsilon }_{0}}R)(V)\] \[\Rightarrow \] \[{{C}_{solid}}={{C}_{hollow}}\] Thus, both spheres will hold same charge.You need to login to perform this action.
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