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The force between an alpha particle …

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The force between an alpha particle and an electron separated by a distance of 1A°
  • 1 answers

Gaurav Seth 6 years, 3 months ago

answer : 4.608 × 10^-8 N

charge on alpha particle , Q = +2e = 2 × 1.6 × 10^-19 C = 3.2 × 10^-19 C

charge on electron, q = -e = -1.6 × 10^-19C

seperation between electron and alpha particle , r = 1A° = 10^-10 m

from Coulomb's law,

magnitude of force between electron and alpha particle , F = K|q||Q|/r²

= 9 × 10^9 × (1.6 × 10^-19)(3.2 × 10^-19)/(10^-10)²

= (9 × 10^9 × 5.12 × 10^-38)/(10^-20)

= (9 × 5.12) × 10^(9-38+20)

= 46.08 × 10^-9 N

= 4.608 × 10^-8 N

hence, magnitude of force between electron and alpha particle is 4.608 × 10^-8 N. and nature of force is attractive because charge are in opposite in nature.

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