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alina1380 [7]
2 years ago
10

An all female guitar septet is getting ready to go on stage. The lead guitarist, Kira,who is always in tune, plucks her low E st

ring and the other six members, sequentially, do the same. Each member records the initial beat frequency between her low E string and Kira's low E string.
To tune an instrument using beats, more information than just the beat frequency is needed. In addition to recording the initial beat frequency , each member, except Diane, also records the change in the frequency (increase or decrease) when they increase the tension in their low E string.


Rank each member on the basis of the initial frequency of their low E string.

Rank from largest to smallest. To rank items as equivalent, overlap them.


Aiko=3Hz, fbeat increases

Chandra=1Hz fbeat decreases

Evita=5Hz fbeat decreases.

Freja=3Hz fbeat decreases.

Buffy=4Hz fbeat increases.
Physics
1 answer:
matrenka [14]2 years ago
6 0

Answer:

Buffy > Aiko > Chandra > Freja > Evita

Explanation:

Beats occur when two waves of nearby frequencies overlap. The number of beats per second is equal to the difference in the frequency.

Let

f= Frequency of Kira

f_1= Frequency of Aiko

The beat frequency of Kira and Aiko is therefore,

f_{beat}=|f_2-f_1|

Substituting  f  for  f_2  and 3Hz for f_{beat} , we get

3Hz=|f-f_1|\\f_1=f+3Hz

From the above equation, we see that beats increase

when

f_2 = Frequency of Chandra

The beat frequency of Kira and Chandra is therefore,

1Hz=|f-f_2|\\f_2=f-1Hz

From the above equation, we see that beats decrease

When

f_3= Frequency of Evita

The beat frequency of Kira and Evita is therefore,

5Hz=|f-f_3|\\f_3=f-5Hz

From the above equation, we see that beats decrease

When

f_4= Frequency of Freja

The beat frequency of Kira and Freja is therefore,

3Hz=|f-f_4|\\f_4=f-3Hz

From the equation above, we see that beats decrease

When

f_5= Frequency of Buffy

The beat frequency of Kira and Buffy becomes,

4Hz=|f-f_5|\\f_5=f+4Hz

From the equation above, we see that beats increase

Hence, the rank of members based on initial frequencies from largest to smallest is Buffy > Aiko > Chandra > Freja > Evita

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