JEE Main202523 Jan 2025Morning ShiftPhysicsElectrostaticsActual
A positive ion A and a negative ion B has charges 6.67 10⁻¹⁹ C and 9.6 10⁻¹⁰ C , and masses 19.2 10⁻²⁷ ~kg and 9 10⁻²⁷ ~kg respectively. At an instant, the ions are separated by a certain distance r. At that instant the ratio of the magnitudes of electrostatic force to gravitational force is P 10⁴⁵ , where the value of 10 P is (Take 1 4 ₀ =9 10^9 Nm ^2 C ⁻¹ and universal gravitational constant as 6.67 10⁻¹¹ Nm ^2 ~kg
Correct answer
0
Step-by-step solution
aligned F_e & = k q₁ q₂ r^2 F_g & = G m₁ m₂ r^2 F_e F_g & = k q₁ q₂ G m₁ m₂ & = 9 10^9 6.67 10⁻¹⁹ 9.6 10⁻¹⁰ 6.67 10⁻¹¹ 19.2 10⁻²⁷ 9 10⁻²⁷ & = 10⁻²⁰ 2 10⁻⁶⁵ aligned