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Question

Assertion :If a positively charged particle is placed in front of a spherical uncharged conductor. The number of lines of forces terminating on the sphere will be more than those emerging from it. Reason: The surface charge density at a point on the sphere nearest to the point charge will be negative and maximum in magnitude compared to other points on the sphere.

A
If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
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B
If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
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C
If Assertion is correct but Reason is incorrect.
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D
If Assertion is incorrect but Reason is correct.
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Solution

The correct option is D If Assertion is incorrect but Reason is correct.
Since the sphere is initially uncharged, it will always remain uncharged i.e. the sum of all the charges present on the sphere will be zero (unless an external charge is added to it)
In this case, the sphere remains neutral overall i.e. the net charge over it is still zero and hence from Gauss law, net flux is zero
No. of lines entering the surface = No. of lines leaving the surface.

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