In a hydrogen like system, the ratio of the Coulomb force to the gravitational force between an electron and a proton is of the order of

Question

Accepted Answer

(3) 10³⁹. (Fₑ)/(F_g)=(ke²)/(Gmₑmₚ); the 1/(r²) cancels, so the ratio does not depend on the separation. Numerator: ke²=9×10⁹×(1.6×10⁻¹⁹)²=2.30×10⁻²⁸. Denominator: Gmₑmₚ=6.67×10⁻¹¹×9.1×10⁻³¹×1.67×10⁻²⁷=1.01×10⁻⁶⁷. (Fₑ)/(F_g)=(2.30×10⁻²⁸)/(1.01×10⁻⁶⁷)≈2.3×10³⁹, i.e. of the order 10³⁹.

In a hydrogen like system, the ratio of the Coulomb force to the gravitational force between an electron and a proton is of the order of

Step-by-step solution

Why the other options are wrong