Concept explainers
(a) Does your bathroom mirror show you older or younger than you actually are? (b) Compute an order-of-magnitude estimate for the age difference based on data you specify.
(a)
Whether the bathroom mirror shows a person older or younger than the actual age of the person.
Answer to Problem 1P
The age shown by mirror is less than actual age that is mirror shows the person younger than the actual age.
Explanation of Solution
When rays strike on the face it reflects back and travel toward mirror and then bounce back in just very little second difference. Let consider two events, first when ray leaves the face and second when rays return to the face. Hence, between these two events the person age himself a very few second. Although this time is very less approximately few nanoseconds, but the light that travels between the person and the mirror and does not age at all. So the image in the mirror is actually younger than the person is by few nano-seconds. Hence the person will see him younger than actual age.
Conclusion:
Therefore, mirror shows the person younger than the actually age.
(b)
The order of magnitude estimate for the age difference.
Answer to Problem 1P
order of magnitude estimate for the age difference is
Explanation of Solution
Formula to calculate time travel by light is,
Here,
Assume distance from the mirror is
Substitute
Conclusion:
Therefore, order of magnitude estimate for the age difference is
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Chapter 35 Solutions
Physics for Scientists and Engineers with Modern Physics
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