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How is the Vicker’s hardness number defined as?

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How is the Vicker’s hardness number defined as?

(a) 1.8544PD^2

(b) 1.8544P 1/D^2

(c) 8.544P 1/D^2

(d) 8.544PD^2

This question was posed to me by my school teacher while I was bunking the class.

This interesting question is from Hardness Tests on Metals in division Wear of Metals, Mechanical Properties and Testing of Engineering Material & Metallurgy

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The correct choice is (b) 1.8544P 1/D^2

To explain I would say: The diamond-pyramid number (DPH) is defined as the applied load divided by the surface area of indentation. Vickers hardness number (VHN or VPN) is also known as diamond-pyramid hardness number. Mathematically, it is defined as 1.8544P 1/D^2 . This can be calculated since angle of indenter is known as 136 degrees.

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