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 \[=({{C}_{sould}})V=(4\pi {{\varepsilon }_{0}}R)(V)\] Charge on the hollow sphere \[=({{C}_{hollow}})\,\,(V)\] \[=(4\pi {{\varepsilon }_{0}}\,R)\,\,(V)\] \[\Rightarrow \] \[{{C}_{soild}}={{C}_{hollow}}\] Thus, both spheres will hold same charge.You need to login to perform this action.
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