   Chapter 28, Problem 18PE

Chapter
Section
Textbook Problem

Unreasonable Results(a) Find the value of γ for the following situation. An astronaut measures the length of her spaceship to be 25.0 m, while an Earth-bound observer measures it to be 100 m. (b) What is unreasonable about this result? (c) Which assumptions are unreasonable or inconsistent?

To determine

(a)

The value ofγfor the following situation. An astronaut measures the length of her spaceship to be 25.0 m, while an Earth-bound observer measures it to be 100 m.

Explanation

Given info:

c=3×108 ms1

L100 m

L025 m

Formula used:

For length calculation, the relation between length and relativistic factor is

L0γ

To determine

(b)

To determine

(c)

About the assumptions are unreasonable or inconsistent.

Introduction:

Relativistic factor is the relation of the value of velocity of observer with relating with the velocity of the light

γ11v2c2.

Explanation:

Value of the length L is less than the value of L0is unreasonable assumption in this question.

Conclusion:

Thus, the value of the length L is less than the value of L0is unreasonable assumption in this question.

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