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Question: \(F_{g}\)and\(F_{e}\) represents gravitational and electrostatic force respectively between electron...

FgF_{g}andFeF_{e} represents gravitational and electrostatic force respectively between electrons situated at a distance 10 cm. The ratio of Fg/FeF_{g}/F_{e} is of the order of

A

104210^{42}

B

10

C

1

D

10−4310^{- 43}

Answer

10−4310^{- 43}

Explanation

Solution

Gravitational force between electrons

Electrostatics force between electrons

FGFe=G(me)2k.e2=6.67×10−11×(9.1×10−31)29×109×(1.6×10−19)2=2.39×10−43\frac{F_{G}}{F_{e}} = \frac{G(m_{e})^{2}}{k.e^{2}} = \frac{6.67 \times 10^{- 11} \times (9.1 \times 10^{- 31})^{2}}{9 \times 10^{9} \times (1.6 \times 10^{- 19})^{2}} = 2.39 \times 10^{- 43}