Coulomb's law for electrostatic force between two point charges and Newton's law for gravitational force between two stationary point masses, both have invesrse-square law dependence on the distance between the charges/masses. (a) Compare the strength of these forces by determining the ratio of their magnitudes (i) For an electron and proton (ii) for two protons (b) Estimate the acceleration of electron and proton due to the electrical force of their mutual attraction, when they are 1A (10 rest to -10m) apart? (Mp = 1.62* 10 rest to -27 kg; Me= 9.11*10 rest to -31 kg)

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1 ˚ A

What is the ratio of electrostatic force and gravitational force between a proton and electron at 1 mm distance?

Mass of proton – $1.67 \times 10^{- 27} k g$

Mass of electron – $9.11 \times 10^{- 31} k g$

Charge of electron – $1.6 \times 10^{- 19} C$

9.1 \times 10^{31} k g

1.7 \times 10^{- 27} k g

5 \times 10^{- 11} m

= 1.6 \times 10^{- 19} C

= 9.1 \times 10^{- 31}

= 1.6 \times 10^{- 27} k g, G = 6.7 \times 10^{- 11} N m^{2} / k g^{2})

What is the ratio of electrostatic force and gravitational force between a proton and electron at 1mm distance?

Mass of proton – $1.67 \times 10^{- 27}$ kg

Mass of electron – $9.11 \times 10^{- 31}$ kg

Charge of electron – $1.6 \times 10^{- 19}$ kg

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