Final answer:
The gravitational force between an electron and a proton in a hydrogen atom can be calculated using Newton's law of universal gravitation with given mass and distance values, resulting in a force of approximately 1.07 x 10^-36 N.
Step-by-step explanation:
The question asks about the gravitational force between an electron and a proton within a hydrogen atom. To calculate this, we use Newton's law of universal gravitation, which is given by the formula:
F = G (m1 * m2) / r^2
where F is the gravitational force, G is the gravitational constant (6.67 x 10^-11 Nm^2/kg^2), m1 and m2 are the masses of the two objects (in this case, the electron and proton), and r is the distance between the centers of the two masses.
Plugging in the given values (m1 = 9.11 x 10^-31 kg for the electron, m2 = 1.67 x 10^-27 kg for the proton, and r = 1.0 x 10^-10 m), we find:
F = (6.67 x 10^-11 Nm^2/kg^2) * (9.11 x 10^-31 kg) * (1.67 x 10^-27 kg) / (1.0 x 10^-10 m)^2
After calculating the above expression, you get a force of approximately 1.07 x 10^-36 N, which corresponds to option A).