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Chapter 37: Q8P (page 1145)

An electron of β=0.9999987moves along the axis of an evacuated tube that has a length of 3.00 m as measured by a laboratory observer S at rest relative to the tube. An observer S’ who is at rest relative to the electron, however, would see this tube moving with speed v ( =βC).What length would observer S’ measure for the tube?

Short Answer

Expert verified

The length measured by observer S’ for the tube is 0.0153m.

Step by step solution

01

Identification of given data

The speed parameter is β=0.999987β=0.999987

The length of the evacuated tube is L0=3m

The length contraction is used to find the length measured by the observer S’ for the tube.

02

Determination of length measured by observer S’ for the tube

The length measured by observer S’ for the tube is given as:

L=L01-β2

Substitute all the values in the equation.

L=3m1-0.9999872L=0.0153m

Therefore, the length measured by observer S’ for the tube is 0.0153m.

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