Question
Asked Dec 23, 2019
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 What is the electrostatic potential energy (in joules) between an electron and a proton that are separated by 53 pm? What is the Change in potential energy if the distance separating the electron and proton is increased to 1.0 nm? ) Does the potential energy of the two particles increase or decrease when the distance is increased to 1.0 nm?

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Expert Answer

Step 1

The electrostatic potential energy between two charge is calculated by the coulomb’s law. The formula is written below.

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1 q92 U = Απε, (1) -

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Step 2

Given data:

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(i) Distance between electron and proton = 53 pm (ii) Distance between electron and proton =1.0 nm

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Step 3

The charge on electron (q1) is 1.6 × 10-19 C and charge on proton (q2) is -1.6 × 10-19 C. Substitute the given value in equation (I) t...

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1 492 4πε, . ( 1.6×10-19 C(-1.6×10-1º C) = 9x10° N-m?/C² . - = 9×10° N-m²/C² Απε, 53 pm -2.56x10-38 C²) = 9x10° N-m/C². 10-12 m 53 pm 1 pm 23.04 x 10-29 N-m² 53x10-12 m = -0.435 x10-" N-m =- 4.35×10-18 J

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