- AStatement 1 is True, Statement 2 is True; Statement 2 is a CORRECT explanation for Statement 1
- BStatement 1 is True, Statement 2 is True; Statement 2 is a NOT CORRECT explanation for Statement 1
- CStatement 1 is True, Statement 2 is False
- DStatement 1 is False, Statement 2 is True
View written solutionFree
Correct answer: B
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Analyze Statement 1
Statement 1 says: For practical purposes, the earth is used as a reference at zero potential in electrical circuits.
This is True.
- The earth is a very large conductor.
- Because of its enormous size, it can accept or supply charge without appreciable change in its potential.
- Hence, in practice, it is taken as the reference point of zero potential.
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Analyze Statement 2
Statement 2 says: The electrical potential of a sphere of radius with charge uniformly distributed on the surface is given by
This is also True.
For a charged spherical shell (or conducting sphere), the potential at the surface is
So Statement 2 is correct.
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Check whether Statement 2 explains Statement 1
Statement 1 is about why the earth can be taken as zero potential reference.
The relevant idea is that for a spherical conductor, and since the earth has a very large radius , even if it gains or loses some charge, its potential changes only negligibly.
However, Statement 2 merely gives the formula for the potential of a charged sphere. By itself, it does not explicitly explain the practical grounding idea unless we additionally apply it to the earth’s enormous radius.
In assertion-reason type questions, the explanation must directly justify Statement 1. Here Statement 2 is true, but it is not the correct explanation as stated.
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Evaluate the options
- A: Both true, and 2 explains 1 → Incorrect
- B: Both true, but 2 does not explain 1 → Correct
- C: 1 true, 2 false → Incorrect
- D: 1 false, 2 true → Incorrect
Final Answer
Option B is correct.
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