Question

question 10 of 30
how does the distance over which the strong nuclear force acts compare to
the distance over which the other fundamental forces act?

a. the distance is the same as the weak nuclear, gravitational, and
electrostatic forces.

b. the distance is the same as the weak nuclear force and less than
gravitational and electrostatic forces.

c. the distance is larger than the weak nuclear force but less than
gravitational and electrostatic forces.

d. the distance is smaller than the gravitational force but larger than
weak nuclear and electrostatic forces.

Explanation:

1. Recall the ranges of fundamental forces:

• Strong nuclear force: Acts over a very short range, on the order of the size of an atomic nucleus (≈10⁻¹⁵ m).
• Weak nuclear force: Also short - range, but slightly longer than the strong nuclear force (acts over ~10⁻¹⁸ m to ~10⁻¹⁶ m).
• Gravitational and electrostatic (electromagnetic) forces: Long - range forces, acting over infinite distances (though their strength decreases with distance).

1. Analyze each option:

• Option A: The strong nuclear force has a much shorter range than gravitational and electrostatic forces, and a different (shorter) range than the weak nuclear force in most cases. So A is incorrect.
• Option B: The strong nuclear force acts over a shorter distance than the weak nuclear force? No, the weak nuclear force has a slightly longer range than the strong nuclear force? Wait, no, correction: The strong nuclear force has a range of about 1 - 3 femtometers (10⁻¹⁵ m), and the weak nuclear force has a range of about 10⁻¹⁸ m (much shorter). Wait, maybe I had it reversed. Wait, actually, the strong nuclear force is the strongest but has a short range (acts within the nucleus), the weak nuclear force also acts within the nucleus but has an even shorter range? No, no, let's re - check. The strong nuclear force binds protons and neutrons in the nucleus. The weak nuclear force is involved in processes like beta decay. The range of the strong nuclear force is about 10⁻¹⁵ m, and the range of the weak nuclear force is about 10⁻¹⁸ m (so the strong nuclear force has a longer range than the weak nuclear force). Wait, the gravitational force has an infinite range (acts between any two masses), and the electrostatic force also has an infinite range (acts between any two charges). So the strong nuclear force has a range that is larger than the weak nuclear force's range but much smaller than the ranges of gravitational and electrostatic forces.
• Option C: The strong nuclear force's range is larger than the weak nuclear force (since strong: ~10⁻¹⁵ m, weak: ~10⁻¹⁸ m) and less than gravitational and electrostatic (which have infinite range). This matches our understanding.
• Option D: The strong nuclear force is not larger than electrostatic (which has infinite range) or weak nuclear (which has a shorter range than strong). So D is incorrect.

Answer:

C. The distance is larger than the weak nuclear force but less than gravitational and electrostatic forces.