Answers:
a) 
b) 
c) 
d) 46000 s
Explanation:
<h2>a) Time for one cycle of the radio wave</h2>
We know the maser radiowave has a frequency 
of 
In addition we know there is an inverse relation between frequency and time 
:
(1)
Isolating : 
(2)
(3)
(4) This is the time for 1 cycle
<h2>
b) Cycles that occur in 1 h</h2>
If 
and we already know the amount of cycles per second , then:
This is the number of cycles in an hour
<h2>c) How many cycles would have occurred during the age of the earth, which is estimated to be
?</h2>
Firstly, we have to convert this from years to seconds:
Now we have to multiply this value for the frequency of the maser radiowave:
This is the number of cycles in the age of the Earth
<h2>
d) By how many seconds would a hydrogen maser clock be off after a time interval equal to the age of the earth?</h2>
If we have 1 second out for every 100,000 years, then:
This means the maser would be 46000 s off after a time interval equal to the age of the earth
Explanation is in the file
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