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you apply a force to an object at the same rate as its natural frequency it will

ID: 1351356 • Letter: Y

Question

you apply a force to an object at the same rate as its natural frequency it will vibrate ith a large amplitude. This is called resonance. This is why the windows sometimes .ttle when a jet flies by. Think of some other examples of where resonance could be destructive. uestions If you stand at the sink and fill a gallon jug with water you can hear the sound of the rushing water reflected from the surface of the water in the container. The sound the water makes is a mixture of many frequencies. What happens to the frequency of the reflected sound as the jug fills? What causes this effect? (Hint: Look at the positions of the first nodes for the different tuning forks.) (4 points)

Explanation / Answer

FREQUENCY INCREASES:

Stationary waves can be formed only when the `node to node' distance is an integral multiple of the half-wavelength of the waves produced. Stationary waves are also formed when the `node to anti-node' distance is an odd integral multiple of the quarter-wavelength of the waves.

As the level of water in the gallon jug rises and the air cavity shrinks in size, the wavelengths of most of these (and also of their harmonics) decrease, particularly of those, which have anti-nodes near the mouth of the vessel. This leads to a gradual rise of the pitch of the sound produced because of increasing Frequency.