The two correct answers that might cause two observers (A and B) to measure different frequencies for the same vibrating object are:
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Observer A is stationary and Observer B is moving. - This situation describes the Doppler effect, where the frequency observed changes based on the relative motion of the observer to the source of the sound.
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Observer A and Observer B are moving at different speeds relative to each other. - This also involves the Doppler effect, as the different speeds at which the observers are moving affect the frequency they perceive.
The other options do not lead to different frequency measurements for the same vibrating object.