Question

Compare the electric and gravitational force between the electron and the proton in a hydrogen atom. The electric charge of the electron is -1.60x10-19C and the same but positive for the proton. The electron’s mass is 9.11x10-31 kg, while the proton’s mass is 1.67x10-27kg. Assume the distance between them is 5.3x10-11 m

Answer 1

Step-by-step explanation:

Electric force is the force acting between two charged particles. Electric force between electron and proton is given by :

`F=k(q_1q_2)/(r^2)`

Distance between them,
`r=5.3* 10^(-11)\ m`

`F=9* 10^9* (-(1.6* 10^(-19))^2)/((5.3* 10^(-11)\ m)^2)`

`F=-8.2* 10^(-8)\ N`

Gravitational force is the force acting between two masses. The gravitational force between the electron and proton is given by :

`F=G(m_1m_2)/(r^2)`

Distance between them,
`r=5.3* 10^(-11)\ m`

`F=6.67* 10^(-11)* (9.11* 10^(-31)\ kg* 1.67* 10^(-27)\ kg)/((5.3* 10^(-11)\ m)^2)`

`F=3.61* 10^(-47)\ N`

Hence, this is the required solution.