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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鈭�t=t2-t1. What is the smallest value of 鈭�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 鈭�t is 2.4渭蝉.

Step by step solution

01

Describe the expression of time delay between two events

The time delay between two events is given by,

鈭�t=v鈭�x'c21-v2c2

As|v|鈫�c,

The time delay between two events is given by,

鈭�t=鈭�x'c 鈥︹��. (1)

02

Determine the value of  

Find the value of 鈭�x'.

鈭�x'=1200m-480m=720m

Substitute 720 m for 鈭�x', and 3脳108m/sfor c in equation (1).

鈭�t=720m3脳108m/s=2.4脳10-6s=2.4渭蝉

Therefore, the required value of 鈭�tis 2.4渭蝉.

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