The total charge of the Thorium nucleus is-> (1.44*10^-17)C The Magnitude of the

Question

The total charge of the Thorium nucleus is-> (1.44*10^-17)C The Magnitude of the force on an electron at a distance of3.86 Angstrom from the Thorium nucleus is (1.39*10^-7)N I cant find the magnitude of the force if the distance of theelectron from the nucleus is DOUBLED. This HINT may help. Hints:
(The electric force depends on the inverse square of the distancebetween the charges. Thus, if the distance is 2.5 times larger, thenew force will be 1/(2.5)^2 times the oldforce.) The total charge of the Thorium nucleus is-> (1.44*10^-17)C The Magnitude of the force on an electron at a distance of3.86 Angstrom from the Thorium nucleus is (1.39*10^-7)N I cant find the magnitude of the force if the distance of theelectron from the nucleus is DOUBLED. This HINT may help. I cant find the magnitude of the force if the distance of theelectron from the nucleus is DOUBLED. This HINT may help. Hints:
(The electric force depends on the inverse square of the distancebetween the charges. Thus, if the distance is 2.5 times larger, thenew force will be 1/(2.5)^2 times the oldforce.)

Explanation / Answer

As the hint says if the distance is 2.5 times larger, the new forceis decreased by 1/2.5^2 so, if the distance is doubled (i.e. multiplied by 2), themagnitude of the force will decrease by 1/2^2 or 1/4 So, F/4 = (1.39/4)*10^-7 N

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