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deff fn [24]
3 years ago
12

Two cellists, one seated directly behind the other in an orchestra, play the same note for the conductor who is directly in fron

t of them. Because of the separation between the cellists, destructive interference occurs at the conductor. This separation is the smallest that produces destructive interference. Would this separation increase, decrease, or remain the same if the cellists produced a note with a higher frequency
Physics
1 answer:
sergij07 [2.7K]3 years ago
7 0

Answer:

Please see below as the answer is self-explanatory.

Explanation:

  • In order to have a destructive interference, the path difference between the sources of the sound, must be equal to an odd multiple of the semi-wavelength, as follows:
  • ⇒ d = d₂ - d₁ = n*(λ/2)
  • The minimum posible value for this distance, is when n=1, as it can be seen here:
  • dmin = λ/2
  • In any traveling wave, there exists a fixed relationship between the wave speed, the frequency and the wavelength:
  • v = λ*f
  • Therefore, assuming that the speed of sound keeps constant, if the frequency is increased, in order to keep the right side of the expression above balanced, λ must be decreased.
  • As the smallest separation that produces destructive interference is directly proportional to the wavelength, this means that this separation will decrease if the cellists produced a note with a higher frequency.

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Answer:

The index of refraction of the liquid is n = 1.33 equivalent to that of water

Explanation:

Solution:-

- The index of refraction of light in a medium ( n ) determines the degree of "bending" of light in that medium.

- The index of refraction is material property and proportional to density of the material.

- The denser the material the slower the light will move through associated with considerable diffraction angles.

- The lighter the material the faster the light pass through the material without being diffracted as much.

- So, in the other words index of refraction can be expressed as how fast or slow light passes through a medium.

- The reference of comparison of how fast or slow the light is the value of c = 3.0*10^8 m/s i.e speed of light in vacuum or also assumed to be the case for air.

- so we can mathematically express the index of refraction as a ratio of light speed in the material specified and speed of light.

- The light passes through a liquid with speed v = 2.25*10^8 m/s :

                         n = c / v\\\\n = \frac{ 3*10^8 }{2.25*10^8} \\\\n = 1.33

- The index of refraction of the liquid is n = 1.33 equivalent to that of water.    

         

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When we plug values into the equation, we get following:
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yuradex [85]

The properties of mechanical waves are : ( C and D )

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<h3>What are mechanical waves ?</h3>

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Hence we can conclude that The properties of mechanical waves are : The three categories of mechanical waves are transverse, longitudinal,surface waves and Waves transport energy,but not matter

Learn more about mechanical waves : brainly.com/question/26116832

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