InterviewSolution
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InterviewSolution
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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, thenA. the stress in the rods `A, B, C` and `D` is 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 due to elasticity is in the ratio `1:2:3:4 `D. it is independent of area like surface tension while friction depends |
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Answer» Correct Answer - B::C Thermal force `=Yaalphad theta=Ypir^(2)alphad theta` `r_(1)=r, r_(2)=rsqrt(2), r_(3)=rsqrt(3), r_(4)=2r` `F_(1):F_(2):F_(3):F_(4)=1:2:3:4` Thermal stress `=Yalphad theta` As `Y` and a are same for all the rods, hence stress developed in each rod will be the same. As strain `=alphad theta`, so strain will also be the same. `E=` energy stored `=1/2Y("strain")^(2)xxAxxL` `:. E_(1):E_(2):E_(3):E_(4)=1:2:4` so, option b and c are correct. |
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