A brass rod and a lead rod each 80 cm long at `0^@C` are clamped together at one end with their free ends coinciding. The separatioin of free ends of the rods if the system is placed in a steam bath is (`alpha_("brass")=18xx10^(-6)//^(@)C` and `alpha_("lead")=28xx10^(-6)//^(@)C`)

A brass rod and a lead rod each 80.00 cm long at 0^@C are clamped together at one end with their free ends coinciding. The separation of the free ends of the rods it the system is placed in steam bath is (coefficients of linear expansions of brass and lead are 2xx10^(-5)//^@C and 1.0 xx 10^(-5)//^@C respectively)

An iron rod of length 50cm is joined at an end to copper rod of length 100cm at 20^(@)C . Find the length of the system at 100^(@)C and average coefficient of linear expansion of the system. (alpha_("iron")=12xx10^(-6)//""^(@)Candalpha_("copper")=17xx10^(-6)//""^(@)C.)

A brass rod and a copper rod have same difference in length at all temperatures. If the difference in their length is 10 cm at 0^(@)C find the length of brass and copper roeds. (alpha_("brass")=19xx10^(-6)" "^(@)Candalpha_("copper")=17xx10^(-6)" "^(@)C)

A steel rod is 4000cm in diameter at 30^(@)C A brass ring has an interior diameter of 3.992cm at 30^(@) in order that the ring just slides onto the steel rod the common temperature of the two should be nearly (alpha_(steel)=11xx10^(-6)/(^(@)C) and alpha_(brass)=19xx10^(-6)/(^(@)C)

The difference between the lengths of steel rod and a brass rod is 0.6 at all temperatures. What are their lengths at 0^@C ? (alpha_Steel = 12 xx 10^-6//^@C , (alpha_(brass)= 18 xx 10^-6//^@C )

A clock is calibrated at a temperature of 20^@C Assume that the penduum is a thin brass rod of negligible mass with a heavy bob attached to the end (alpha_("brass")=19xx10^(-6)//K)