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Chapter 37: 6P (page 1145)

Reference frame S鈥� is to pass reference frame S at speed v along the common direction of the and x axes, as in Fig. 37-9. An observer who rides along with frame S鈥� is to count off a certain time interval on his wristwatch. The corresponding time interval 鈭�t is to be measured by an observer in frame S. Figure 37-22 gives 鈭�tversus speed parameter 尾for a range of values for . The vertical axis scale is set by ta 14.0 s. What is interval 鈭�t if v = 0.98c?

Short Answer

Expert verified

The time interval for observer is 40s.

Step by step solution

01

Identification of given data

The speed of reference frame S鈥� is v=0.98c

The duration for the reference frame S鈥� is t=8s

The time dilation is used to find the duration for particle before decay from detector.

02

Determination of time interval for observer

The time interval for observer is given as:

鈭�t=t1-vc2

Here, cis the speed of light and its value is 3脳108m/s.

Substitute all the values in equation.

鈭�t=8s1-0.98cc2鈭�t=40s

Therefore, the time interval for observer is 40 s .

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