John is listening to a horn. He knows the frequency of the horn is 300 Hz when b

Question

John is listening to a horn. He knows the frequency of the horn is 300 Hz when both he and the horn are at rest. If he hears a pitch of 330 Hz, there are clearly several possibilities.

True False  Both cannot be moving in the same direction.
True False  The distance between John and the horn could be increasing with time.
True False  Both could be moving and have different speeds.
True False  Both could be moving, in opposite directions.
True False  John could be moving towards the horn which is at rest.
True False  Both could be moving and have the same speed.

Explanation / Answer

Doppler shift is given by formula   = f' = f * (v + vo)/(v - vs)

=> If original frequency is 300 Hz

and , Detected frequency = 330 Hz

=> Distance between source and detector is decreasing.

=>   Both cannot be moving in the same direction. -   False

=>    The distance between John and the horn could be increasing with time. - False

=>    Both could be moving and have different speeds.   - True

=>      Both could be moving, in opposite directions.    - False

=>      John could be moving towards the horn which is at rest.    -   True

=>    Both could be moving and have the same speed. -   True

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