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A siren on an ambulance emits sound at a constant frequency of 750 Hz. The ambulance is travelling at a constant speed of 25-0 ms⁻¹ towards a stationary observer. The speed of sound in air is 340 ms⁻¹. The frequency of the sound heard by the observer is
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Answer
Step-by-step solution
5 stepsIdentify the given values.
The frequency of the sound emitted by the siren (source frequency) is .
The speed of the ambulance (speed of source) is .
The speed of sound in air is .
The observer is stationary, so the speed of the observer is .
The ambulance is moving towards the stationary observer.Apply the Doppler effect formula.
For a source moving towards a stationary observer, the observed frequency is given by the formula:
Substitute the given values into the formula.
Calculate the observed frequency.
First, calculate the denominator:
Now, substitute this back into the equation:
Compare the result with the given options.
The calculated frequency is approximately . Looking at the options:
A: 695 Hz
B: 699 Hz
C: 750 Hz
D: 805 Hz
E: 810 HzThe closest option to is .
The final answer is .
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