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Question: Force between two point charges in air is F, if one third separation is filled by medium (e<sub>r</s...

Force between two point charges in air is F, if one third separation is filled by medium (er = 4), then force between charges becomes-

A

34\frac{3}{4}F

B

43\frac{4}{3}F

C

916\frac{9}{16}F

D

None of these

Answer

916\frac{9}{16}F

Explanation

Solution

F = 14πϵ0\frac { 1 } { 4 \pi \epsilon _ { 0 } } .

F ' = q1q2{(rr3)+r34}2\frac { q _ { 1 } q _ { 2 } } { \left\{ \left( r - \frac { r } { 3 } \right) + \frac { r } { 3 } \sqrt { 4 } \right\} ^ { 2 } } =