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A: the frequency of a transmitter whatever it is is fixed therefore the frequency will remain the same

Clarification:

Radio waves are similar to sound waves in some regards, but not really as is implied by this question. I believe the asker is referring to the phenomenon seen with cars and horns, where when moving towards a person, the horn will have a higher pitch (higher frequency shift), and while moving away, will have a lower pitch.

The strict answer to the question is yes, there will be a slight frequency shift. The frequency shift is relative to the wave speed, however. Sound waves move relatively slowly through the air (~750mph, 60mph is ~8% of this), which is why moving at 60mph causing very noticeable pitch change. But electromagnetic waves move at the speed of light, or 3 x 10^8 m/s (6.71 x 10^8 mph), so the actual frequency shift will be insignificant unless travelling at a similar speed.

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