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Two rods of equal cross-sections, one of copper and the other of steel are joined to from a composite rod of length `2.0m` at `20^(@)C` the length of the copper rod is `0.5m`. When the temperature is raised to `120^(@)C`, the length of composite rod increases to `2.002m`. If the composite rod is fixed between two rigid walls and thus not allowed to expand, it is found that the length of the component rod also do not change with increase in temperature. Calculate the Young's modulus of steel. Given Young's modulus of copper `= 1.3xx10^(11) N//m^(2)` the coefficient of linear expansion of copper `alpha_(C) = 1.6xx10^(-5)//.^(@)c`

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Two rods of equal cross-sections, one of copper and the other of steel are joined to from a composite rod of length 2.0m at 20^(@)C the length of the copper rod is 0.5m . When the tempertuare is raised to 120^(@)C , the length of composite rod increases to 2.002m . If the composite rod is fixed between two rigid walls and thus not allowed to expand, it is foundthat the length fo the component rod also do not change with increase in temperature. Calcualte the Young's modulus of steel. Given Young's modulus of copper = 1.3xx10^(11) N//m^(2) the coefficent of linear expansion of copper alpha_(C) = 1.6xx10^(-5)//.^(@)c

Two rods of equal cross sections, one of copper and the other of steel, are joined to form a composite rod of length 2.0 m at 20^@C , the length of the copper rod is 0.5 m. When the temperature is raised to 120^@C , the length of composite rod increases to 2.002m. If the composite rod is fixed between two rigid walls and thus not allowed to expand, it is found that the lengths of the component rods also do not change with increase in temperature. Calculate Young's moulus of steel. (The coefficient of linear expansion of copper, alpha_c=1.6xx10^(-5@)C and Young's modulus of copper is 1.3xx10^(13)N//m^(2) ).

A composite rod is made by joining a copper rod, end to end, with a second rod of different material but of the same area of cross section. At 25^(@)C , the composite rod is 1 m long and the copper rod is 30 cm long. At 125^(@)C the length of the composte rod increases by 1.91 mm . When the composite rod is prevented from expanding by bolding it between two rigid walls, it is found that the constituent reds have remained unchanged in length in splite of rise of temperature. Find yong's modulus and the coefficient of linear expansion of the second red (Y of copper =1.3xx10^(10) N//m^(2) and a of copper =17xx10^(-6)//K ).

A brass rod of length 1 m is fixed to a vertical wall at one end, with the other end keeping free to expand. When the temperature of the rod is increased by 120^@C , the length increases by 3 cm . What is the strain?

A steel rod of length 20 3/26 is cut down from a rod of length 56 1/5 what when is the remaining length of the rod?

A steel rod of length 20 3/26 is cut out from a rod of length 56 1/5 . What then is the remaining length of the rod?

The temperature gradient in a rod of 0.5 m length is 80^(@)C//m . It the temperature of hotter end of the rod is 30^(@)C , then the temperature of the cooler end is

Two metal rods of lengths L_(1) and L_(2) and coefficients of linear expansion alpha_(1) and alpha_(2) respectively are welded together to make a composite rod of length (L_(1)+L_(2)) at 0^(@)C. Find the effective coefficient of linear expansion of the composite rod.

A steel rod of length 5 m is fixed between two support. The coefficient of linear expansion of steel is 12.5 xx 10-6//^(@)C . Calculate the stress (in 10^(8) N//m2 ) in the rod for an increase in temperature of 40^(@)C . Young's modulus for steel is 2 xx 10^(11) Nm^(-2)

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