Answer:
A) M = 100X
B) M = 36X
C) M = 178.88X
Explanation:
Given data:
ASTM grain size number 7
a) total grain per inch^2 - 64 grain/inch^2
we know that number of grain per square inch is given as
[tex]Nm = 2^{n-1} (\frac{100}{M})^2[/tex]
where M is magnification, n is grain size
therefore we have
[tex]64 = 2^{7-1}(\frac{100}{M})^2[/tex]
solving for M we get
M = 100 X
B) total grain per inch^2 = 500 grain/inch^2
we know that number of grain per square inch is given as
[tex]Nm = 2^{n-1} (\frac{100}{M})^2[/tex]
where M is magnification, n is grain size
therefore we have[tex]500 = 2^{7-1}(\frac{100}{M})^2[/tex]
solving for M we get
M = 36 X
C) Total grain per inch^2 = 20 grain/inch^2
we know that number of grain per square inch is given as
[tex]Nm = 2^{n-1} (\frac{100}{M})^2[/tex]
where M is magnification, n is grain size
therefore we have[tex]20 = 2^{7-1}(\frac{100}{M})^2[/tex]
solving for M we get
M = 178.88 X
