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What is the relation between critical stress and slenderness ratio?

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What is the relation between critical stress and slenderness ratio?

(a) critical stress is directly proportional to  slenderness ratio

(b) critical stress is inversely proportional to  slenderness ratio

(c) critical stress is square of slenderness ratio

(d) critical stress is cube of slenderness ratio

The question was posed to me during an interview.

My doubt stems from Elastic Buckling of Slender & Built-up Compression Members topic in portion Design of Compression Members of Design of Steel Structures

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Correct choice is (b) critical stress is inversely proportional to  slenderness ratio

The explanation: fcr  = Pcr/Ag = π^2E/λ^2, critical stress is inversely proportional to  slenderness ratio of column and very large values can be obtained by using L/r → 0 .

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