Calculating Wavelength in a Medium with Different Speed of Sound

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Ultrasonic waves with a frequency of 3 x 10^5 Hz travel through a medium where the speed of sound is ten times that in air, calculated at 300 m/s. The wavelength is determined using the formula wavelength = wave speed/frequency, resulting in a value of 0.01 meters. Participants emphasize the importance of including units in calculations to avoid confusion. The discussion highlights the correct interpretation of the factor of ten as a dimensionless ratio. Clarity in calculations and unit representation is crucial for accurate results.
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Homework Statement


Ultrasonic waves of frequency 3 x 10^5 Hz are passing through a medium where speed I found is 10 times that in air ( speed of sound in air is 300m/s). The wavelength of this wave in the medium will be in the order of?

Homework Equations


Wavelength = wave speed/ frequency...maybe

The Attempt at a Solution


Using the equation I got 300 x 10/(3 x 10^5)=0.01[/B]
 
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Hi,

Is there a question you need help with here ?

I don't want to be corny, but: is that in inches, miles or in furlongs :smile:?
 
I am guessing meters so in cm it becomes 1 cm, right?
 
Of course. It's just that I wanted to emphasize to you that you should always include units.

(also in calculations: 300 m/s x 10/(3 x 10^5 /s ) = 0.01 m -- the factor 10 is a ratio, no dimension)
 
BvU said:
Of course. It's just that I wanted to emphasize to you that you should always include units.

(also in calculations: 300 m/s x 10/(3 x 10^5 /s ) = 0.01 m -- the factor 10 is a ratio, no dimension)
I was just making sure. Thank you for the help.
 
The book claims the answer is that all the magnitudes are the same because "the gravitational force on the penguin is the same". I'm having trouble understanding this. I thought the buoyant force was equal to the weight of the fluid displaced. Weight depends on mass which depends on density. Therefore, due to the differing densities the buoyant force will be different in each case? Is this incorrect?

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