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Q.

The electric field intensity at a point situated 4 meters from a point charge is 200 N/C. If the distance is reduced to 2 meters, the field intensity will be

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a

 1200 N/C

b

 600 N/C

c

400 N/C

d

 800 N/C

answer is C.

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Detailed Solution

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The electric field intensity is given by

Question Image

Here, Q is the point charge k is the proportionality constant and d is the distance between the charges.

Now E at a point  situated 4 m from a point charge,

Question Image

Similarly, if the distance is reduced to  2 m, then

Question Image

Therefore,

Question Image

Question Image

Substitute the given values, we get

Question Image

Question Image.

Thus, the field intensity will be 800 N/C.

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