$(a)\;the\;dimensions\;of\;the\;object\qquad(b)\;the\;position\;of\;the\;axis\;of\;rotation\qquad(c)\;Coefficient\;of\;linear\;expansion\;of\;material\qquad(d)\;All\;of\;these$

Thermodynamics

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Answer : Coefficient of linear expansion of material

Explanation :

Suppose the moment of inertia of object is $\;I_{0}\;$ & linear dimension is $\;'l_{0}'\;$ . Since the angular momentum of the system is conserved

$I_{0}w_{0}=I^{'}w^{'}$

Since $\;I_{0} \alpha l_{0}^2\;$ and $\;l=l_{0}(1+\alpha \bigtriangleup t)$

$\large\frac{I^{'}}{I_{0}}$$=(2 \alpha \bigtriangleup t +1)$

Therefore , $\;w^{'}=\large\frac{w_{0}}{(1+2 \alpha \bigtriangleup t)}$

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