A vibrator in a ripple tank vibrates with a frequency of 3.0 Hz and an amplitude of 2.5 cm. The resulting waves travel away from the source with a speed of 2.5 cm/s, passing under various markers floating on the water. (a)In what direction(s) do the marker move?
(b) With what frequency do the marker oscillate?
(c) If the frequency of the source is changed to 4.5 Hz, what will happen to: (i) the speed of the wave?
(ii) the frequency of the marker's oscillations?
(d) If the amplitude of the source is changed to 1.6 cm, what will happen to:
(i) the speed of the wave?
(ii) the frequency of the marker's oscillations?
(a) The markers will move in a circular motion around the vibrator, perpendicular to the direction of the wave propagation.
(b) The frequency with which the markers oscillate will be the same as the frequency of the source, which is 3.0 Hz.
(c) (i) Increasing the frequency of the source to 4.5 Hz will increase the speed of the wave as well. (ii) The frequency of the marker's oscillations will also increase to match the new frequency of the source.
(d) (i) Decreasing the amplitude of the source to 1.6 cm will not affect the speed of the wave. (ii) The frequency of the marker's oscillations will remain the same since it depends on the frequency of the source, not the amplitude.
(a) The markers will move up and down perpendicular to the direction of wave propagation.
(b) The frequency at which the markers oscillate will be the same as the frequency of the vibrator, which is 3.0 Hz.
(c) (i) If the frequency of the source is changed to 4.5 Hz, the speed of the wave will remain the same. The speed of the wave is determined by the properties of the medium, not the frequency of the source.
(ii) If the frequency of the source is changed to 4.5 Hz, the frequency of the marker's oscillations will also change to 4.5 Hz. The frequency of the marker's oscillations is determined by the frequency of the source.
(d) (i) If the amplitude of the source is changed to 1.6 cm, the speed of the wave will remain the same. The speed of the wave is determined by the properties of the medium, not the amplitude of the source.
(ii) If the amplitude of the source is changed to 1.6 cm, the frequency of the marker's oscillations will remain the same. The frequency of the marker's oscillations is determined by the frequency of the source, not the amplitude.
To find the answers to these questions, we need to understand the properties of waves and how they are affected by different factors.
(a) In what direction(s) do the markers move?
The markers on the water will move up and down perpendicular to the direction of wave propagation. This is because the waves in a ripple tank are transverse waves. The motion of the markers is determined by the motion of the water particles as the waves pass through.
(b) With what frequency do the markers oscillate?
The frequency of the markers' oscillations is the same as the frequency of the vibrator, which is 3.0 Hz in this case. This is because the markers are directly affected by the waves generated by the vibrator.
(c) If the frequency of the source is changed to 4.5 Hz, what will happen to:
(i) the speed of the wave?
The speed of the wave does not depend on the frequency of the source or the resulting waves. It is determined by the properties of the medium through which the waves travel. In this case, the speed of the wave remains constant at 2.5 cm/s.
(ii) the frequency of the marker's oscillations?
The frequency of the marker's oscillations will change to match the frequency of the source, which is now 4.5 Hz. As the frequency of the source increases, the frequency of the marker's oscillations will also increase.
(d) If the amplitude of the source is changed to 1.6 cm, what will happen to:
(i) the speed of the wave?
The amplitude of the source does not have any effect on the speed of the wave. The speed of the wave remains constant at 2.5 cm/s since it is determined by the medium.
(ii) the frequency of the marker's oscillations?
The frequency of the marker's oscillations will not be directly affected by the change in the amplitude of the source. It will still be determined by the frequency of the source, which is 3.0 Hz in this case. Therefore, the frequency of the marker's oscillations remains unchanged.