The ratio of electrostatic and gravitational forces acting between electron and proton separated by a distance 5 10¹¹ ~m , will be (Charge on electron =1.6 10⁻¹⁹ C , mass of electron =9.1 10⁻³¹ ~kg , mass of proton =1.6 10⁻²⁷ ~kg , .G=6.7 10⁻¹¹ Nm ^2 / kg ^2 )

Step-by-step solution

Gravitational force F= G M₁ M₂ r^2 F_G= 6.7 10⁻¹¹ 9.1 10⁻³¹ 1.6 10⁻²⁷ (5 10⁻¹¹ )^2 =3.9 10⁻⁴⁷ ~N Electrostatic force F_E= 1 4 ₀ q₁ q₂ r^2 F_e= 9 10^9 1.6 10⁻¹⁹ 1.6 10⁻¹⁹ (5 10⁻¹¹ )^2 =9.22 10⁻⁸ ~N Electrostatic force Gravitational force = F_E F_G aligned & = 9.22 10⁻⁸ 3.9 10⁻⁴⁷ & =2.36 10³⁹ aligned