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The slenderness ratio has which of the following dimensions?
Question

The slenderness ratio has which of the following dimensions?

A.

m1m^{-1}

B.

m

C.


D.

dimensionless quantity

Correct option is D

The slenderness ratio is defined as:
Slenderness ratio=Effective lengthLeast radius of gyration\text{Slenderness ratio} = \frac{\text{Effective length}}{\text{Least radius of gyration}}​​
Both effective length and radius of gyration have dimensions of length (m).

Since it is a ratio of two lengths, the units cancel out.

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