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wel
3 years ago
5

What is the density of a piece of quartz with a mass of 30g and a volume of 6cm^3

Physics
1 answer:
FromTheMoon [43]3 years ago
7 0

Answer:

\boxed {\boxed {\sf d= 5 \ g/cm^3}}

Explanation:

Density can be found by dividing the mass by the volume.

d=\frac{m}{v}

The mass of the quartz is 30 grams and the volume is 6 cubic centimeters.

m=30 \ g \\v= 6 \ cm^3

Substitute the values into the formula.

d=\frac{30 \ g}{6 \ cm^3}

Divide.

d= 5 \ g/cm^3

The density of this piece of quartz is 5 grams per cubic centimeter.

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Piano tuners tune pianos by listening to the beats between the harmonics of two different strings. When properly tuned, the note
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(a) 2 Hz

The frequency of the nth-harmonic is given by

f_n = n f_1

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f_1 is the fundamental frequency

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The beat frequency between two harmonics of different frequencies f, f' is given by

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this means that by tightening the string (increasing the tension), will increase the fundamental frequency also*, and therefore will increase also the frequency of the 2nd harmonic.

In this situation, the beat frequency is 4 Hz (four beats per second):

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f_B = |f_3-f_2|

and f_3 = 1320 Hz, we have two possible solutions for f_2:

f_2 = f_3 - f_B = 1320 Hz - 4 Hz = 1316 Hz\\f_2 = f_3 + f_B = 1320 Hz + 4 Hz = 1324 Hz

However, we said that increasing the tension will increase also the frequency of the harmonics (*), therefore the correct frequency in this case will be

1324 Hz

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