Question

An a Particle is a nucleus of double e- jonized
hellium atom. It has mass 6.68 X10-27
Charge 3.2x10-19 column. Compared the force of
elecho Stabic re plution beth boo x-particle with
the grauitional force between them​

Answer 1

• Mass of alpha particle, m = 6.68 × 10-²⁷ kg
• charge on alpha particle, q = 3.2 × 10-¹⁹c
• Let r is the separation between two alpha particles.

so, electrostatic force between them , Fe = kq²/r²

= 9 × 10⁹ × (3.2 × 10-¹⁹)²/r²

= 9 × 10.24 × 10^-38 × 10^9/r²

= 92.16 × 10-²⁹/r²

= 9.216 × 10-²⁸/r² --------•(1)

• and gravitational force between them, Fg = Gm²/r²

= 6.67 × 10-¹¹ × (6.68 × 10-²⁷)²/r²

= 6.67 × 6.68 × 6.68 × 10-¹¹ × 10-⁵⁴/r²

= 297.63 × 10-⁶⁵/r²

= 2.9763 × 10-⁶³/r² --------•(2)

• from equations (1) and (2)

Fe/Fg = (9.216 × 10^-28)/(2.9763 × 10^-63)

= (9.216/2.9763) × 10^(63 - 28)

≈ 3 × 10³⁵