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What is the dimensional formula of packing fraction?

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in Chemistry – Class 12 by (188k points)
What is the dimensional formula of packing fraction?

(a) M^0L^3T^0

(b) M^0L^0T^0

(c) ML^0T^0

(d) M^0L^2T^0

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

This intriguing question originated from Solid State topic in chapter Solid State of Chemistry – Class 12

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Correct option is (b) M^0L^0T^0

The explanation: Packing fraction is a dimensionless quantity which is the ratio of space occupied to total crystal space available. Since both the quantities have the same units the ratio renders dimensionless.

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