A metal rod of length L cross sectional area A young modulus Y and coefficient of linear expansion `alpha` is heated to `t^(@)C` The work that can be
A metal rod of length L cross sectional area A young modulus Y and coefficient of linear expansion `alpha` is heated to `t^(@)C` The work that can be performed by the rod when heated is
A. `(Ya alphaLt^(2))/(2)`
B. `(Ya alpha^(2)Lt^(2))/(2)`
C. `(Ya alpha^(2)L^(2)t^(2))/(2)`
D. `(Ya alphaLt)/(2)`
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Correct Answer - d
work perfomed by the rod
`Delta` w= change in potential energy of the rod
` =1/2xx` stress x strian x volume
`=1/2xxyxx("strains")^(2)x"AL"`
`=1/2xxyxxalpha^(2) Delta t^(2)xxAL=(YA alpha^(2)Lt^(2))/(2) ["before" Delta L=L alpha t]`
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