A steel rod is 3.000 cm in diameter at `25^@C`. A brass ring has an interior diameter of 2.992 cm at `25^@C`. At what common temperature will the ring just slide onto the rod ? (Coefficient of linear expansion of steel= `12 xx 10^(-6) per k` and coefficient of linear expansion of brass=`18 xx 10^(-6) per k)`.

If a cylinder of diameter of 1 cm at 30^@C is fitted into a hole of diameter 0.9997 cm in a steel plate, find the temperature the fitting has to be done ? Co.eff.of linear expansion of steal is 12 xx 10^(-6)//^@ C

What do you understand by the following statements.Co.efficient of area expansion of a material is 30 xx 10^(-6) per^@C .

A clock with an iron pendulum keeps correct time at 20^@C . How much will it lose are gain if temperature changes to 40^@C ? (Coefficient of cubical exexpansion of iron = 36 xx 10^(-6) per^@C .)

A steel tyre is 1 m in diameter at 10^@C . To what temperature it must be raised so that it may just slip on a wheel 1.005 m in diameter ? alpha for steel = 12 xx 10^(-6)//^@C .

A clock with a copper pendulum beats seconds at 25^@C . Find the loss or gain perday when the temperature falls to 10^@C . Take co-efficient of linear expansion of copper = 18 xx 10^(-6)//^@ C

A brass disc at a 20^@C has a diameter of 30 cm and a hole cut in the centre is 10 cm in diameter. Calculate the diameter of the hole when temperature of the disc is raised to 50^@C . The coefficient of linear expansion of brass= 0.000018 per^@C .

A metal bar is 52.302 cm long at 18^@C and 25.359 cm long at 98^@C . What is the coefficient of linear expansion of the metal ?

What should be the length of steel abd copper rods at 0^@C so that the difference in their lengths is 5.0 cm at all temperatures. Coefficient of linear expansion of copper is 1.7 xx 10^(-5) //^@ C and that of steel is 1.1 xx 10^(-5) //^@ C .

A metal sphere 10.01 cm in diameter is placed on a brass ring of internal diameter 10 cm at the same temperature of 12^@C . Find the temperature to which they should be heated together so that the metal sphere just passes through the ring . alpha_"metal" = 12 xx 10^(-6)//^@C and alpha_"brass" = 18 xx 10^(-6)//^@C

A rod A and a rod B of different materials differ in length by 5 cm at all temperatures . What are their lengths at 0^@C if the coefficients of linear expansion of A and B are 12 xx 10^(-6)//^@C and 18 xx 10^(-6)//^@C respectively ?