What is its period in the water?

In summary, a sonar signal of frequency 1.00x10^6 Hz has a wavelength of 1.50mm in water. The definition of period is one over the frequency. The period in both water and air would be the same, as the frequency remains constant when a wave changes medium. However, the speed and wavelength of the wave do change. It is ultimately connected to conservation of energy.
  • #1
aerogurl2
34
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i need some help on this problem:
A sonar signal of frequency 1.00x10^6 Hz has a wavelength of 1.50mm in water.

a) What is its period in the water?
b)What is its period in the air?

Can someone guide me through the steps in order to arrive to the solution or explain to me how to solve this? Thanx:smile:
 
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  • #2
aerogurl2 said:
i need some help on this problem:
A sonar signal of frequency 1.00x10^6 Hz has a wavelength of 1.50mm in water.

a) What is its period in the water?
b)What is its period in the air?

Can someone guide me through the steps in order to arrive to the solution or explain to me how to solve this? Thanx:smile:
What is the definition of period? It is simply one over the frequency.
When a wave changes medium (water to air) does the frequency change?
 
  • #3
the medium doesn't travel with the wave so it wouldn't effect the period is that right? so the period for both water and the air would be the same?
 
  • #4
aerogurl2 said:
the medium doesn't travel with the wave so it wouldn't effect the period is that right? so the period for both water and the air would be the same?
Your conclusion is correct but it's not because the medium does not travel with the wave. When a wave changes medium, its speed *and* its wavelength changes but the frequency does not change (it is ultimately connected to conservation of energy but you should not worry about that).

Patrick
 
  • #5
oki thanks for your help Patrick:smile:
 
  • #6
aerogurl2 said:
oki thanks for your help Patrick:smile:
You are most welcome. And best luck!
 

FAQ: What is its period in the water?

What is the period of an object in water?

The period of an object in water refers to the time it takes for the object to complete one full cycle of motion. This can be measured by the time it takes for the object to return to its original position after being displaced in the water.

How is the period of an object in water calculated?

The period of an object in water is calculated using the formula T = 2π√(m/k), where T is the period in seconds, m is the mass of the object in kilograms, and k is the spring constant of the object in newtons per meter.

Does the period of an object in water depend on its shape or size?

Yes, the period of an object in water can be affected by its shape and size. Objects with larger surface areas may experience more resistance in the water, causing a longer period, while objects with smaller surface areas may have a shorter period.

How does the density of an object in water affect its period?

The density of an object in water can affect its period by changing the amount of buoyancy and resistance it experiences. Objects with higher densities may sink faster and have a shorter period, while objects with lower densities may float longer and have a longer period.

Can the period of an object in water be changed?

Yes, the period of an object in water can be changed by altering its mass, shape, or density. Other factors such as water temperature, surface tension, and depth can also affect the period of an object in water.

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