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Chapter 1: Problem 39

Range of weak nuclear force is (a) \(10^{-15} \mathrm{~m}\) (b) \(10^{-14} \mathrm{~m}\) (c) \(10^{-18} \mathrm{~m}\) (d) \(10^{-20} \mathrm{~m}\)

Short Answer

Expert verified
The range of the weak nuclear force is (c) \(10^{-18} m\), as it is determined by the force carrying particles W and Z bosons and aligns with its short-range characteristic.

Step by step solution

01

Definition of Weak Nuclear Force

The weak nuclear force, also known as the weak force or the weak interaction, is one of the four fundamental forces of nature. It is responsible for certain types of particle decay processes, like beta decay. The weak force is much weaker than the strong nuclear force and the electromagnetic force but is stronger than gravity.
02

Comparing the Given Options

To find the correct range, we need to compare the given options and see which one fits best with the weak nuclear force's properties. (a) \(10^{-15} m\) (b) \(10^{-14} m\) (c) \(10^{-18} m\) (d) \(10^{-20} m\)
03

Finding the Range of Weak Nuclear Force

The range of the weak nuclear force is determined by the distance over which its effects can be felt, which is influenced by the force carrying particle called the W and Z bosons. In general, the weak nuclear force has a very short range, around \(10^{-18} m\) or \(0.001 nm\). This fact helps us narrow down the given options.
04

Selecting the Correct Answer

Based on the information about the range of weak nuclear force, we can select the correct answer from the given options: (a) \(10^{-15} m\): This range is too large for the weak nuclear force. (b) \(10^{-14} m\): This range is also too large, although it's closer to the correct answer. (c) \(10^{-18} m\): This range is in line with the characteristics of the weak nuclear force, making it the correct answer. (d) \(10^{-20} m\): This range is too small for the weak nuclear force. Therefore, the correct answer is (c) \(10^{-18} m\).

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