Concept explainers
(a)
To Calculate: The frequency that an observer can hear, who is located at rest in due north.
The velocity component does not get affected by blowing wind, so the frequency that can be heard is
Given:
Frequency of whistle
Wind velocity from north
Formula used:
Calculation:
The velocity component of the sound v , reaching the observer will not be affected by the blowing wind.
The frequency that can be heard by the observer is,
Therefore, the frequency that can be heard is
Conclusion:
The velocity component does not affect by blowing wind, so the frequency that can be heard is
(b)
To Calculate: The frequency that an observer can hear, who is located at rest in due south.
The velocity component does not get affected by blowing wind, so the frequency that can be heard is
Given:
Frequency of whistle
Wind velocity from north
Formula used:
Calculation:
There is no Doppler shift and the frequency that can be heard by the observer is,
Therefore, the frequency that can be heard is
Conclusion:
The velocity component does not affect by blowing wind, so the frequency that can be heard is
(c)
To Calculate: The frequency that an observer can hear who is located at rest in due east.
Given:
Frequency of whistle,
Wind velocity from north,
Formula used:
Calculation:
There is no Doppler shift and the frequency that can be heard by the observer is,
Therefore, the frequency that can be heard is
Conclusion:
The velocity component does not affect by blowing wind, so the frequency that can be heard is
(d)
To Calculate: The frequency that an observer can hear who is located at rest is due west of the whistle.
570 Hz.
Given:
Frequency of whistle,
Wind velocity from north,
Formula used:
Calculation:
The frequency that can be heard by the observer is,
Therefore, the frequency that can be heard is
Conclusion:
The frequency that can be heard is
(e)
To Calculate: The frequency that can be heard by cyclist heading north.
Given:
Frequency of whistle,
Wind velocity from north,
Velocity of the cyclist towards North,
Formula used:
Calculation:
The frequency heard by the observer is,
Where,
Substituting the values,
Conclusion:
The frequency that can be heard is
(f)
To Calculate: The frequency that can be heard, when heading towards the whistle.
Given:
Frequency of whistle,
Velocity of the cyclist towards North,
Formula used:
Calculation:
The velocity component of the sound v , which is reaching the observer will be unaffected by the blowing wind.
There is no Doppler shift and the frequency that can be heard by the observer is,
Substituting the values,
Conclusion:
The frequency that can be heard, when heading towards the whistle at a speed of
Chapter 12 Solutions
Physics: Principles with Applications
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