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Chapter 6: Q1DQ (page 1247)

You are standing on a train platform watching a high-speed train pass by. A light inside one of the train cars is turned on and then a little later it is turned off. (a) Who can measure the proper time interval for the duration of the light: you or a passenger on the train? (b) Who can measure the proper length of the train car: you or a passenger on the train? (c) Who can measure the proper length of a sign attached to a post on the train platform: you or a passenger on the train? In each case explain your answer.

Short Answer

Expert verified
  1. A passenger on the train is the one who can measure the proper time interval for the duration of light
  2. A passenger on the train is the one who can measure the proper length of the train car
  3. It鈥檚 you who can measure the proper length of the sign attached to the post on the train platform

Step by step solution

01

Check who can measure the proper time interval for the duration of the light

A passenger on the train is the one who can measure the proper time interval for the duration of light because he is in the frame in which the two events occur at the same position; the light source is at rest with respect to the train car.

02

Check who can measure the proper length of the train car

A passenger on the train is the one who can measure the proper length of the train car because he rides along with the train; he is in the frame in which the train car is at rest.

03

Check who can measure the proper length of a sign attached to a post on the train platform

It鈥檚 you who can measure the proper length of the sign attached to the post on the train platform because you are standing still on the platform in which the sign is stationary; we assume the sign鈥檚 length measured is parallel to the direction of the train鈥檚 motion

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