JEE Main Physics question

The hollow shaft is than a solid shaft of same mass, material and length. [BVP 2009]

(A)Less stiff
(B)More stiffCorrect
(C)Equally stiff
(D)None of these

Answer: (B)

Solution

Torsional stiffness is proportional to the polar moment of area . For a solid shaft of radius , ; for a hollow shaft of outer/inner radii , . Equal mass (same length, material) means equal

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Question ID VK-154828