Steel railroad tracks are laid when the temp is `20^@C`. A standard section of rail is 12m long. Calculate the gap that should be left between rail sections so that there may not be any compression when the temperature gets as high as `50^@C`. (`alpha` of steel = `11xx10^-6 per^@C`)

The length of each steel rail of a line at 10^(@)C is 25 m. What gap should be maintained between two successive rails so that up to 50^(@)C they will not be strained? [coefficient of linear expansion of steel =11 times 10^(-6@)C^(-1) ]

A steel tape 1 m long is correctly calibrated for a temperature of 27.0 ""^(@)C . The length of a steel rod measured by this tape is found to be 63.0 cm on a hot day when the temperature is 45.0 ""^(@)C . What is the actual length of the steel rod on that day? What is the length of the same steel rod on a day when the temperature is 27.0^(@)C ? Coefficient of linear expansion of steel =1.20 times 10^(-5)K^(-1) .

A steel is 1.5 m long at 20^(@)C . What will be the increase in its length if it is heated up to 100^(@)C?" "alpha for steel =11 times 10^(-6@)C^(-1) .

A steel ring is heated up to 95^(@)C to fit exacty on the outer surface of an iron cylinder of diameter 10 cm at 20^(@)C. After fitting, the ring is cooled so that the system attains a temperature 20^(@)C. What is the thermal stress of the ring? [Young's modulus of steel = 21 times 10^(5)kg*cm^(-2) " and " alpha for steel =12 times 10^(-6@)C^(-1).]

A brass disc is fitted tightly into the bore of a steel plate. Should you apply heat in order to remove the disc from the bore? Given that alpha of brass =19 times 10^(-6@)C^(-1) and that of steel =12 times 10^(-6@)C^(-1) .

Two ends of a steel rod are rigidly fixed with two supports. At 30^(@)C its area of cross-section is 4 cm^(2) . How much force will be exerted on the supports by the ends of the rod if the temperature of the rod is raised by 60^(@)C ? [Young's modulus of steel =2.1 times 10^(12)dyn*cm^(-2) and its coefficient of linear expansion is 12 times 10^(-6@)C^(-1)]