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Q52 PE

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College Physics (Urone)
Found in: Page 164

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Short Answer

(a) What is the strength of the weak nuclear force relative to the strong nuclear force?

(b) What is the strength of the weak nuclear force relative to the electromagnetic force?

Since the weak nuclear force acts at only very short distances, such as inside nuclei, where the strong and electromagnetic forces also act, it might seem surprising that we have any knowledge of it at all. We have such knowledge because the weak nuclear force is responsible for beta decay, a type of nuclear decay not explained by other forces.

(a) The strength of weak nuclear force relative to strong nuclear force is 10-13.

(b) The strength of weak nuclear force relative to electromagnetic force is 10-11.

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Step by Step Solution

(a) Strength of weak nuclear force relative to the strong nuclear force

Nuclear forces play a vital role in the structure of matter, and they act over a short-range. These forces help in determining the stability of nuclei.

The relative strength of the weak nuclear force is of the order of 10-13 whereas the relative strength of the strong nuclear force is 1.

Determine the ratio of the weak nuclear force to the strong nuclear force as:

FN,wFN,s=10-131 =10-13

Here FN,w is the weak nuclear force, and FN,s is the strong nuclear force.

Hence, the strength of weak nuclear force relative to strong nuclear force is 10-13.

(b) Strength of weak nuclear force relative to the electromagnetic force

Electromagnetic forces are long-range forces that act over large distances. These forces can be attractive or repulsive in nature.

The relative strength of the electromagnetic force is 10-2.

Determine the ratio of the weak nuclear force to the electromagnetic force as:

FN,wFelectric=10-1310-2 =10-11

Here Felectric is the electromagnetic force.

Hence, the strength of weak nuclear force relative to electromagnetic force is 10-11.

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