NEET2022PhysicsElectrostaticsActual
The ratio of coulomb's electrostatic force to the gravitational force between an electron and a proton separated by some distance is 2.4 10³⁹ . The ratio of the proportionality constant, K = 1 4 ₀ to the Gravitational constant G is nearly (Given that the charge of the proton and electron each =1.6 10⁻¹⁹ C , the mass of the electron =9.11 10⁻³¹ ~kg , the mass of the proton = .1.67 10⁻²⁷ ~kg )
Options
- A10²⁰
- B10³⁰
- C10⁴⁰
- D10
Correct answer
A. 10²⁰
Step-by-step solution
A.T.Q, we have, aligned F _e ~F _ G & = 1 4 ₀ q₁ q₂ r^2 G m₁ m₂ r^2 2.4 10³⁹ & = K G (1.6 10⁻¹⁹ )^2 (9.1 10⁻³¹ 1.67 10⁻²² ) & [ K = 1 4 ₀ ] aligned Hence, aligned K G & = 2.4 10³⁹ 9.1 10⁻³¹ 1.67 10⁻²⁷ 1.6 10⁻¹⁹ 1.6 10⁻¹⁹ & =14.247 10¹⁹ & =1.4247 10²⁰ 10²⁰ aligned