Two charged particles of equal charges are placed 1 m apart. The initial acceleration of each of them is `ms^(-2)` . If their equal mass is `10^(-3)` gm, find the charge on each of them.

Options

A. `sqrt(1.1) xx 10^(-8)` C
B. `1.1 xx 10^(-8)` C
C. `11 xx 10^(8)` C
D. `sqrt(2) xx 10^(-8)` C

Answer

A

Explanation

Suppose equal charge on each particle is Q. `therefore` Force exerts at 1 m distance is `F = (kQ^(2))/(1)^(2)` but F = ma
`therefore ma = (kQ^(2))/1`
`therefore Q^(2) = (ma)/k = (10^(-6) xx 1)/(9 xx 10^(9)) = 0.11 xx 10^(-15)`
`(therefore m = 10^(-3) g = 10^(-6) kg)`
`therefore Q = sqrt(1.1) xx 10^(-8)` C