Four rods `A, B, C` and `1`) of the same length and material but of different radii `r, rsqrt(2),rsqrt(3)` and `2r`, respectively, are held between two rigid walls. The temperature of all rods is increased through the same range. If the rods do not bend, then

Four rods A, B, C and D of the same length and material but of different radii r, r sqrt(2),r sqrt(3) and 2r respectively are held between two rigid walls. The temperature of all rods is increased through the same range. If the rods donot bend, then a) The stress in the rods A, B, C and D are in the ratio 1:2:3:4 b) The forces on them exerted by the wall are in the ratio 1:2:3:4 c) The energy stored in the rods are 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

Two rods of different materials with coefficients linear thermal expansion alpha_(1), alpha_(2) , and Young's moduli Y_(1) and Y_(2) , respectively are fixed between two rigid walls. They are heated to have the same increase in temperature . If the rods do not bend and if alpha_(1) : alpha_(2) = 2 : 3 , then thermal stresses developed in the two rods will be equal when Y_(1) : Y_(2) ie equal to

Two uniform brass rods A and B of lengths l and 2l and radii 2r and r respectively are heated to the same temperature. The ratio of the increase in the length of A to that of B is :

The figure shows two thin rods , one made of aluminium [alpha = 23 xx 10^(-6) (C^(@))^(-1)] and the other of steel [alpha = 12 xx 10^(-6) (C^(@))^(-1)] . Each rod has the same length and the same initial temperature . They are attached at one end to two separate immovable walls. Temperature of both the rods is increased by the same amount , until the gap between the rods vanishes . Where do the rods meet the gap vanishes?

The figure shows two thin rods , one made of aluminium [alpha = 23 xx 10^(-6) (C^(@))^(-1)] and the other of steel [alpha = 12 xx 10^(-6) (C^(@))^(-1)] . Each rod has the same length and the same initial temperature . They are attached at one end to two separate immovable walls. Temperature of both the rods is increased by the same amount , until the gap between the rods vanishes . Where do the rods meet the gap vanishes?

The figure shows two thin rods , one made of aluminium [alpha = 23 xx 10^(-6) (C^(@))^(-1)] and the other of steel [alpha = 12 xx 10^(-6) (C^(@))^(-1)] . Each rod has the same length and the same initial temperature . They are attached at one end to two separate immovable walls. Temperature of both the rods is increased by the same amount , until the gap between the rods vanishes . Where do the rods meet the gap vanishes?

Two unifrom brass rod A and B of length l and 2l and radii 2r respectively are heated to the same temperature. The ratio of the increase in the volume of A to that of B is

Two unifrom brass rod A and B of length l and 2l and radii 2r respectively are heated to the same temperature. The ratio of the increase in the volume of A to that of B is