Verified Solution • 2025–26 Session moderate

QNEET-2022-Ph-525: NEET 2022 Physics - Class 12 NEET-2022-Ph-525 Solution: The ratio of Coulomb's electrostatic force to the gravitational …

The ratio of Coulomb's electrostatic force to the gravitational force between an electron and a proton separated by some distance is 2.4×10392.4 \times 10^{39}. The ratio of the proportionality constant K=14πϵ0K = \frac{1}{4\pi\epsilon_0} to the gravitational constant G is nearly (Given that the charge of the proton and electron each = 1.6×10−19 C1.6 \times 10^{-19}\ \text{C} the mass of the electron = 9.11×10−31 kg9.11 \times 10^{-31}\ \text{kg} the mass of the proton = 1.67×10−27 kg1.67 \times 10^{-27}\ \text{kg}): 10 102010^{20} 103010^{30} 104010^{40}

Multiple Choice Options

  • A 10
  • B 10 20
  • C 10 30
  • D 10 40

Step-by-Step Verified Solution

Ratio of magnitude of Coulomb's electrostatic force to the gravitational force F E F G = ( K q 1 q 2 r 2 ) ( G m 1 m 2 r 2 ) = K q 1 q 2 G m 1 m 2 _ 2.4 _ 10 39 = K G _ 1.6 _ 10 _ 19 _ 1.6 _ 10 _ 19 9.11 _ 10 _ 31 _ 1.67 _ 10 _ 27 _ 2.4 _ 10 39 = K G _ 2.56 15.21 _ 10 20 _ K G = 14.26 _ 10 19 _ K G = 1.426 _ 10 20 _ Ratio � 10 20

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