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Chapter 37: 26P (page 1147)

In Fig. 37-9, observer S detects two flashes of light. A big flash occurs at x1=1200mand , slightly later, a small flash occurs at x2=480m. The time interval between the flashes is∆t=t2-t1. What is the smallest value of ∆t for which observer S' will determine that the two flashes occur at the same x' coordinate?

Short Answer

Expert verified

The required value of ∆t is 2.4μs.

Step by step solution

01

Describe the expression of time delay between two events

The time delay between two events is given by,

∆t=v∆x'c21-v2c2

As|v|→c,

The time delay between two events is given by,

∆t=∆x'c ……. (1)

02

Determine the value of  

Find the value of ∆x'.

∆x'=1200m-480m=720m

Substitute 720 m for ∆x', and 3×108m/sfor c in equation (1).

∆t=720m3×108m/s=2.4×10-6s=2.4μs

Therefore, the required value of ∆tis 2.4μs.

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