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Question

Two unlike charges equal in magnitude are placed at some distance and force of F Newton acts between them. If 75% of the charge from one is transferred to another. Then, how much would the value of force become :

A
F16
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B
7F16
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C
9F16
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D
15F16
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Solution

The correct option is B 7F16
F=kq2r2 ........(1)

When the charge is transferred

F=14πϵ0q1q2r2=kq1q2r2 .......(2)

The transferred charge

75% of q=75100×q=3q4

Chargeq1=q34q=q4

q2=q+34q=7q4

The net force between them

F=kq1q2r2=kq4×7q4r2

F=7k16q2r2=7F16

1754985_1833896_ans_b8f8bb4c2efd4c8688c68ea9b1b037f5.png

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