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

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

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

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

Observer A is stationary and Observer B is moving.

The two correct answers are:

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

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

The correct answers are:

1. Observer A and Observer B are moving at different speeds relative to each other.
2. Observer A and Observer B are stationary but at different distances from the vibrating object.

To understand why these situations might cause two observers to measure different frequencies for the same vibrating object, let's break it down:

1. Observer A and Observer B are moving at different speeds relative to each other:
When observers are moving towards or away from a vibrating object, the observed frequency will be affected by the Doppler effect. The Doppler effect causes a shift in frequency due to the relative motion between the source of the waves (vibrating object) and the observer. If Observer A and Observer B have different speeds or directions of motion relative to each other, the observed frequencies they measure will be different.

2. Observer A and Observer B are stationary but at different distances from the vibrating object:
The speed of sound is constant in a medium, such as air, but the distance between the listener and the sound source can affect the observed frequency. This is because when a sound wave propagates, its wavelength remains constant, but the time it takes for one complete wave to reach the listener changes with distance. If Observer A and Observer B are at different distances from the vibrating object, the observed frequencies they measure will be different.

In summary, both the relative motion of the observers and their distances from the vibrating object can cause them to measure different frequencies.