An iron plate has a circular hole of diameter 10 cm . Find the diameter of the hole when the plate is uniformly heated from `10^@C` to `90^@C`
`(alpha = 12 xx 10^(-6)//^@C)` .

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

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 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 steel rod when measured with a zinc scale (alpha = 26 xx 10^(-6)//^@C) appears to be 1 m long when both rods are at 20^@C . If the zinc scale was graduated at 0^@C , what is the true length of the steel rod at 0^@C ? alpha for steel = 12 xx 10^(-6)//^@C .

The rate of reaction becomes 2 times for every 10^@C rise in temperature. How the rate of reaction will increases when temperature is increased from 30^@C to 80^@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 .