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Physics with MasteringPhysics | 4th Edition | ISBN: 9780321541635 | Authors: James S. Walker
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Measuring the Speed of Light Galileo attempted to measure

Chapter 25, Problem 16P

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QUESTION:

Galileo attempted to measure the speed of light by measuring the time elapsed between his opening a lantern and his seeing the light return from his assistant’s lantern. The experiment is illustrated in Figure 25–24.What distance, d, must separate Galileo and his assistant inorder for the human reaction time, \(\Delta t=0.2 \mathrm{~s}\), to introduce no more than a \(15 \%\) error in the speed of light?

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QUESTION:

Galileo attempted to measure the speed of light by measuring the time elapsed between his opening a lantern and his seeing the light return from his assistant’s lantern. The experiment is illustrated in Figure 25–24.What distance, d, must separate Galileo and his assistant inorder for the human reaction time, \(\Delta t=0.2 \mathrm{~s}\), to introduce no more than a \(15 \%\) error in the speed of light?

ANSWER:

Step 1 of 2

Given data:

The reaction time is \(\Delta t = 0.2\;{\rm{s}}\).

The maximum allowed error in the speed of light is 15%.

The separation between the two points of measurement is d.

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