The two correct answers that could 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 can result in a different frequency measurement due to the Doppler effect, where the moving observer perceives a change in frequency based on their relative motion 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 situation also leads to different frequency measurements for the same reason, as the relative motion between the observers and the vibrating object affects the perceived frequency due to the Doppler effect.
The other options would not lead to different frequency measurements as they involve stationary observers or the same distance from the vibrating object.