Physics · Conductors and insulators, dielectrics and electric polarization
Assertion When two charged metal spheres are connected by a long wire, then, the
Assertion When two charged metal spheres are connected by a long wire, then, the surface charge density on each sphere is inversely proportional to the radius. Reason When two charged metal spheres are connected, charge will flow from one to the other until their potentials are equal.
- A. Both Assertion and Reason are correct and Reason is the correct explanation for Assertion
- B. Both Assertion and Reason are correct but Reason is not the correct explanation for Assertion
- C. Assertion is correct but Reason is incorrect
- D. Both Assertion and Reason are incorrect
Step-by-step solution
When two charged metal spheres are connected by a long wire, they reach the same potential. For a conducting sphere, potential V = kQ/R, so Q ∝ R. Surface charge density σ = Q/(4πR^2) ∝ 1/R. Hence assertion correct. Reason correctly describes the condition of equal potentials.
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