TS EAMCET Medical 28 Sept 2020 Shift 2 Paper

A square sheet of metal of side 4R has a circular hole of radius R cut out symmetrically. The coefficient of linear expansion is α . If the temperature of the sheet is increased by a very small amount A T , then the area of sheet is changed by CαR2 ∆T .
The magnitude of constant ‘C’ is
(Given

∆T

T

<<1)