Question:

State the number of grains per square inch at a magnification of 100X for ASTM grain size number 8

Show Hint

ASTM formula: $N = 2^{n-1}$. For $n=8$, just remember $2^7 = 128$.
  • 64
  • 128
  • 256
  • 512
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The Correct Option is B

Solution and Explanation

Step 1: Concept
The ASTM grain size number ($n$) is defined by the formula $N = 2^{n-1}$, where $N$ is the number of grains per square inch at 100X magnification.

Step 2: Meaning

This standard allows metallurgists to quantify the fineness of the microstructure.

Step 3: Analysis

Given ASTM grain size number $n = 8$. Therefore, $N = 2^{8-1} = 2^{7}$.

Step 4: Conclusion

Calculating the value: $2 \times 2 \times 2 \times 2 \times 2 \times 2 \times 2 = 128$. Final Answer: (B)
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