An aluminium rod and iron rod show 1.5 m difference in their lengths when heated at all temperature. What are their lengths at 0 `^@C` if coefficient of linear expansion for aluminium is `24.5 xx 10^-6 //^@C` and for iron is `11.9 xx 10^-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 metal rod of diameter 1 cm measures 50 cm in length at 65 °C. If the coefficient of linear expansion of the rod is 16 x 10-6/ °C, the length of the rod at 0 °C will be

Answer the following : An aluminium sheet of area 0.1 m^2 , initially at temperature 30 ⁰C is heated such that it reaches the temperature of 70 ⁰C . If the coefficient of areal expansion of aluminium is 46.2 x 10^-6 (1/⁰C) , find the change in area of the sheet .

By how much will a steel bar one metre long expand when heated from 25^@C to 55^@C ? The coefficient of volume expansion of steel is 3 xx 10^-5//^@C .

A clock which keeps correct time at 20^(@)C is subjected to 40^(@)C. If coefficient of linear expansion of the pendulum is 12xx10^(-6)//"^(@)C. How much will it gain or loss in time ?

Solve the following problems : What will be the increase in length of a steel rod of length 0.5 m , when its temperature is increased by 60 ⁰C ? The coefficient of linear expansion of steel is 0.000013 ( 1/⁰C) .

The length of a metal rod at 27^@ C is 4 cm. The length increases to 4.02 cm when the metal rod is heated upto 387^@ C . Determine the coefficient of linear expansion of the metal rod.

A steel wire 2 mm in diameter is just stretched between two fixed points at a temperature of 20^(@)C. If the temperature falls to 10^(@)C, then the tension in the wire is (The coefficient of linear expansion of steel = 11xx10^(-6)//^(@)C and Y for steel 2.1 xx10^(11)N//m^(2))

Practice problems : Increase in the length of a steel rod is 0.06 cm . When its temperature is increased by 70 ⁰C . Find its initial length . [ codfficient of linear expansion of steel = 1.3 x 10^-5 (1/ ⁰C) ] .