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)`).

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

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 rod of length / and radius r is held between two rigid walls so that it is not allowed to expand. If its temperature is increased, then the force developed in it is proportional to

Figure shows a steel rod of cross sectional ara 2 xx 10^(-6)m^(2) is fixed between two vertical walls. Initially at 20^(@)C there is no force between the ends of the rod and the walls. Find the force which the rod will exert on walls at 100^(@) C . Given that the coefficient of linear expansion of steel is 1.2 xx 10^(-5).^(@)C^(-1) and Young's modulus is 2xx10^(11)N//m^(2)

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?

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

A steel rod is rigidly clamped at its two ends. The rod is under zero tension at 20^0C . If the temperature rises to 100^0 C , what force will the rod exert on one of the clapms? Area of cross section of the rod = 2.00 mm^2 . Coefficient of linerar expansion of steel = 12.0 xx 10^(-6) ^0 C^(-1) and Young's modulus of steel 2.00 xx 10^(11) N m^(-2) .

15 small rods, each of length 23 2/7 m are joined to make a big rod. What then is the length of the big rod?

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?