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Question

Suppose the charge of a proton and an electron differ slightly. One of them is -e, the other is (e+Δe). 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 Δe is of the order of [Given mass of hydrogen mh=1.67×1027Kg]

A
1047C
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B
1020C
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C
1023C
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D
1037C
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Solution

The correct option is D 1037C
Given : mh=1.67×1027 kg
Net charge on hydrogen atom q=(e+Δe)e=Δe
Let the distance between them be d.
Equating gravitational force and the electrostatic force, we get
Gm2hd2=k(Δe)2d2
Or (6.67×1011)(1.67×1027)2d2=(9×109)(Δe)2d2
Δe=2.06×1037 C
The correct answer is option D.

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