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Electrostatic Potential and Capacitance — Physics STD 12 Science — Question

Rajasthan BoardEnglish MediumSTD 12 SciencePhysicsElectrostatic Potential and Capacitance1 Mark
Question
For two statements are given-one labelled Assertion (A) and the other labelled Reason (R). Select the correct answer to these questions from the codes (a), (b), (c) and (d) as given below.
  1. Both A and R are true, and R is the correct explanation of A.
  2. Both A and R are true, but R is not the correct explanation of A.
  3. A is true, but R is false.
  4. A is false, and R is also false.
Assertion (A): No work is done in taking a positive charge from one point to other inside a positively charged metallic sphere while outside the sphere work is done in taking the charge toward the sphere.
Reason (R): Inside the sphere electric potential is same at each potential, but outside it is different for different points.
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Answer

  1. Both A and R are true, and R is the correct explanation of A.
Explanation:
Inside the charged metallic sphere every point is at the same electric potential, hence $\text{W}=\text{q}\triangle\text{V}=0.$ But outside the sphere, there exists a potential gradient at every point, hence $\text{W}\not=0.$

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