What is the time for one cycle of the radio wave?

A maser is a laser-type device that produces electromagnetic
waves with frequencies in the microwave and radio-wave bands of the
electromagnetic spectrum. You can use the radio waves generated by
a hydrogen maser as a standard of frequency. The frequency of these
waves is 1,420,405,751.786 hertz. (A hertz is another name for one
cycle per second.) A clock controlled by a hydrogen maser is off by
only 1 s in 100,000 years. (The large number of significant figures
given for the frequency simply illustrates the remarkable accuracy
to which it has been measured.) A. What is the time for one cycle of the radio wave? Express
your answer to three significant figures and include the
appropriate units. B. How many cycles occur in 4 h ? Express your answer using
three significant figures. C. How many cycles would have occurred during the age of the
earth, which is estimated to be 4.6×109 years? Express your answer
using three significant figures. D. By how many seconds would a hydrogen maser clock be off after
a time interval equal to the age of the earth? Express your answer
using three significant figures.

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Given the frequency of the maser f 1,420,405,751.786 Hz A. Time for one cycle is the time period of the maser radiation. Time period T 1,420,405,751.786 T-7.04×10-10 s B. Number of cycles in 4 hours is 4 hours in seconds n(4) Time for one cycle 4x 60×60 7.04x 10s = 2.05×103 Cycles C. Similarly during the age of earth (a) Age of earth is seconds n(a) = 4.6 x109 7.04x10s 6.53×1018 Cycles D. Error in the clock after a time interval of the age of the earth can be calculated as follows 4.6×109 100000 N – -4.60×104 s
A maser is a laser-type device that produces electromagnetic
waves with frequencies in the microwave and radio-wave bands of the
electromagnetic spectrum. You can use the radio waves generated by
a hydrogen maser as a standard of frequency. The frequency of these
waves is 1,420,405,751.786 hertz. (A hertz is another name for one
cycle per second.) A clock controlled by a hydrogen maser is off by
only 1 s in 100,000 years. (The large number of significant figures
given for the frequency simply illustrates the remarkable accuracy
to which it has been measured.)
A. What is the time for one cycle of the radio wave? Express
your answer to three significant figures and include the
appropriate units.
B. How many cycles occur in 4 h ? Express your answer using
three significant figures.
C. How many cycles would have occurred during the age of the
earth, which is estimated to be 4.6×109 years? Express your answer
using three significant figures.
D. By how many seconds would a hydrogen maser clock be off after
a time interval equal to the age of the earth? Express your answer
using three significant figures.

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