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Electric Charges and Fields

  1. Suppose the charge of a proton and an electron differ slightly. One of them is – e, the other is (e + ∆e). If the net of electrostatic force and gravitational force between two hydrogen atoms placed at a distance d (much greater than atomic size) apart is zero, then ∆e is of the order of [Given mass of hydrogen mh = 1.67 × 10–27 kg]
    1. ​10–23 C
    2. 10–37 C
    3. 10–47 C
    4. 10–20 C
Correct Option: B

According to question, the net electrostatic force (FE) = gravitational force  (FG)
​FE = FG

or
1
∆e2
=
Gm2
4πε0d2d2

⇒ ∆e = m
G
K

1
= k = 9 × 109
4πε0

= 1.67 × 10–27
6.67 × 10–11
9 × 109

∆e ≈ 1.436 × 10–37 C



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