Which situations might cause two observers (A and B) to measure different frequencies for the same vibrating object? Select the two correct answers. (2 points)

Responses

Observer A is stationary and Observer B is moving.
Observer A is stationary and Observer B is moving.

Observer A and Observer B are moving at different speeds relative to each other.
Observer A and Observer B are moving at different speeds relative to each other.

Observer A and Observer B are stationary but at different distances from the vibrating object.
Observer A and Observer B are stationary but at different distances from the vibrating object.

Observer A and Observer B are both stationary and at the same distance from the object.

Observer A and Observer B are moving at different speeds relative to each other.

Observer A and Observer B are stationary but at different distances from the vibrating object.

The correct answers to this question are:

1. Observer A is stationary and Observer B is moving.
2. Observer A and Observer B are moving at different speeds relative to each other.

Explanation:

When an object vibrates, it emits waves that are detected as sound or light by observers. The frequency of these waves determines the pitch or color of the sound or light. When an observer measures the frequency of a vibrating object, it can be affected by various factors.

In the first situation, Observer A is stationary, while Observer B is moving. This means that Observer B will experience a Doppler effect due to their motion. The Doppler effect causes a change in the frequency of the waves received by Observer B compared to Observer A. If the object is emitting sound waves, Observer B will measure a different frequency than Observer A.

In the second situation, Observer A and Observer B are moving at different speeds relative to each other. Again, the Doppler effect comes into play. Depending on the relative velocities of Observer A and Observer B, the frequency measured by each observer will differ.

In other words, both the motion of the observer and the relative motion between observers can cause differences in the measured frequencies for the same vibrating object. This is due to the Doppler effect, which alters the perceived frequency of waves based on the relative motion between the source of the waves and the observer.

The two correct answers to the question are:

1. Observer A is stationary and Observer B is moving.
2. Observer A and Observer B are moving at different speeds relative to each other.