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) ] .

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 volume of a metal block increases by 0.15% when its temperature isincreased by 200^@C . Find the coefficient of its linear expansion.

The period of oscillations of a simple pendulum increses by 10%, when its length is increased by 21 cm. Find its initial length and initial period.

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.

Solve the following problems : The length of the great belt bridge in denmark is 18 km . This length increases by 4.7 m in summer . Considering that the bridge is made up of steel , what is the change in temperature occuring in denmark during summer ? [ Coefficient of linear expansion for steel( λ_steel) = 11.5 x 10^5 (1/ ⁰C)

The period of oscillation of simple pendulum increases by 20% where its length is increased by 44 cm. Find its initial length

The length of an iron rod at 100^@C is 300.36 cm and at 150^@C it is 300.54 cm. find the coefficient of linear expansion of its material and the length of rod at 0^@C .

The pressure that has to be applied to the ends of a steel wire of length 10cm to keep its length constant when its temperature is raised by 100^@C is : (For steel Young's modulus is 2xx10^11 Nm^-2 and coefficient of thermal expansion is 1.1xx10^-5K^_1 )