Concept explainers
(a)
Travel time of each photon
Answer to Problem 57QAP
Travel time of each photon is
Explanation of Solution
Given:
Length of the ship,
Speed of the spacecraft,
Formula used:
The relation between time, distance and speed is given as
Calculation:
Since the Gaar is standing in the middle of the ship, therefore distance cover by each photon is
Conclusion:
Travel time of each photon is
(b)
According to you which photon will register first
Answer to Problem 57QAP
Backward photon will register first strike.
Explanation of Solution
Given:
Length of the ship,
Speed of the spacecraft,
Calculation:
Since we are in stationary reference frame, therefore the photon that is fired in the backward direction will have the relative velocity of
Conclusion:
Backward photon will register first strike.
(c)
Difference in the striking times of the photons
Answer to Problem 57QAP
Difference in the striking times of the photons is
Explanation of Solution
Given:
Length of the ship,
Speed of the spacecraft,
Formula used:
The time coordinate is calculated as
Here,
Calculation:
Let the backward photon will strike first in the person reference frame. Now in the pilot reference plane the left bulb turns on at
The time coordinate is calculated as
Plugging the values in the above equation
The time coordinate for the forward photon is
Plugging the values in the above equation
Conclusion:
Difference in the striking times of the photons is
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Chapter 25 Solutions
COLLEGE PHYSICS
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