Four rods A, B, C, D of same length and material but of different r...

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Four rods A, B, C, D of same length and material but of different radii \( r, r \sqrt{2}, r \sqrt{3} \) and \( 2 \mathrm{r} \) respectively are held
P between two rigid walls. The temperature of all rods is

W. increased by same amount. If the rods do not bend, then
(a) the stress in the rods are in the ratio \( 1: 2: 3: 4 \)
(b) the force on the rod exerted by the wall are in the ratio \( 1: 2: 3: 4 \)
(c) the energy stored in the rods due to elasticity are in the ratio \( 1: 2: 3: 4 \)
(d) the strains produced in the rods are in the ratio \( 1: 2: 3: 4 \)
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