Question:
The range of the weak nuclear force is of the order of
The range of the weak nuclear force is of the order of
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Weak nuclear force has extremely short range due to heavy gauge bosons.
Updated On: Jun 22, 2026
- $10^{26}$ Å
- $10^{6}$ Å
- $10^{18}$ Å
- $10^{-2}$ Å \bigskip
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The Correct Option is D
Solution and Explanation
Concept:
The weak nuclear force is one of the fundamental interactions responsible for processes like beta decay. It is a short-range force and acts only within the nucleus. Hence, its range is extremely small compared to electromagnetic or gravitational forces.
Step 1: Recall the typical nuclear scale of forces.
The size of a nucleus is of the order: \[ 10^{-15}\ \text{m} \] Both strong and weak nuclear forces act at nuclear distances, i.e., within or slightly beyond this scale.
Step 2: Convert meter into Angstrom.
We know: \[ 1\ \text{Å} = 10^{-10}\ \text{m} \] So, \[ 10^{-15}\ \text{m} = 10^{-5}\ \text{Å} \] This shows nuclear forces act at extremely small lengths in Angstrom scale.
Step 3: Nature of weak force range.
The weak force is slightly weaker in range compared to strong nuclear force due to massive intermediate bosons (W and Z bosons). Hence its effective range is even smaller than nuclear size scale. Thus, order of magnitude is approximately: \[ 10^{-2}\ \text{Å} \] Final Answer: \[ (D)\ 10^{-2}\ \text{Å} \]
Step 1: Recall the typical nuclear scale of forces.
The size of a nucleus is of the order: \[ 10^{-15}\ \text{m} \] Both strong and weak nuclear forces act at nuclear distances, i.e., within or slightly beyond this scale.
Step 2: Convert meter into Angstrom.
We know: \[ 1\ \text{Å} = 10^{-10}\ \text{m} \] So, \[ 10^{-15}\ \text{m} = 10^{-5}\ \text{Å} \] This shows nuclear forces act at extremely small lengths in Angstrom scale.
Step 3: Nature of weak force range.
The weak force is slightly weaker in range compared to strong nuclear force due to massive intermediate bosons (W and Z bosons). Hence its effective range is even smaller than nuclear size scale. Thus, order of magnitude is approximately: \[ 10^{-2}\ \text{Å} \] Final Answer: \[ (D)\ 10^{-2}\ \text{Å} \]
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