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Chapter 37: 4P (page 1145)

(Come) back to the future. Suppose that a father is 20.00 y older than his daughter. He wants to travel outward from Earth for 2.000 y and then back for another 2.000 y (both intervals as he measures them) such that he is then 20.00 y younger than his daughter. What constant speed parameter β (relative to Earth) is required?

Short Answer

Expert verified

The speed parameter is 0.9949 .

Step by step solution

01

Identification of given data

The duration of travel for father from Earth is t0=2y

The difference in age before and after travel for father is t=20y

The Lorentz factor is used to find the speed parameter which is the ratio of the speed of particle with speed of light.

02

Determination of speed parameter relative to Earth 

The speed parameter for travel is given as:

β=1-2t02t2

Substitute all the values in equation.

β=1-22y220y2β=0.9949

Therefore, the speed parameter is 0.9949.

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A sodium light source moves in a horizontal circle at a constant speed of 0.100c while emitting light at the proper wavelength of λo=589nm. Wavelength λis measured for that light by a detector fixed at the center of the circle. What is the wavelength shift λ-λo?

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