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प्रश्न
If a charged hollow sphere and a solid sphere of aluminum and copper of equal radii are in electrostatic equilibrium, then which of the following statements is true?
पर्याय
Both the spheres are having equal charges.
The hollow sphere will have more charge than the solid sphere at its surface.
The aluminum sphere will have more charge on its surface than the copper sphere.
If the hollow sphere is also made up of aluminum, then it will have more charge.
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उत्तर
Both the spheres are having equal charges.
Explanation:
Both spheres have equal charges because in electrostatic equilibrium they must be at the same potential, and since the capacitance of a sphere (4πε0r) depends only on radius, equal radii mean equal capacitances. Hence, equal potentials imply equal charges.
