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Chapter 36: Q. 23 (page 1059)

A muon travels 60kmthrough the atmosphere at a speed of 0.9997c.According to the muon, how thick is the atmosphere?

Short Answer

Expert verified

The atmosphere is 1.5kmthick.

Step by step solution

01

Given Information

We have given that, a muon travels 60kmthrough the atmosphere at a speed of0.9997c.

02

Simplify

The correct length of the atmosphere in this scenario is 60km.

For length contraction, use the following formula:

L=Lργ

=Lρ1-v2c2=(60km)1-(0.9997)2=1.5km

Therefore, according to the muon, the atmosphere is 1.5kmthick.

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