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Null point is a point where the electric field is 0.
Let the null point from 1μ charge be at xm, so null point from the other charge will be at (0.15 - x)m.
Electric field at null point due to charge 1μC = k x 10⁻⁶ /x²
Electric field at null point due to charge 4μC = 4k x 10⁻⁶ / (0.15-x)²
As electric field at null point is to be 0,
k x 10⁻⁶ /x² = 4k x 10⁻⁶ / (0.15-x)²
1/x² = 4/(0.15-x)²
or, 1/x = 2/(0.15 - x)
or, 2x = 0.15-x
or, 3x = 0.15
or, x = 0.05 m
So null point is at a distance 0.05 m from the 1μC charge and at a distance of 0.1 m from 4μC charge.
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