An iron rod and a copper rod lie side by side. An the temperature is changed, the difference in the length of the rods remains constant at a value of 10 cm. Find the lengths at `0^o C`. Coefficients of linear expansion of iron and copper are `1.1 xx 10^(-5) C^(-1) and 1.7 xx 10^(-5) C^(-1)` respectively.

Find the ratio of the lengths of an iron rod and an aluminum rod for which the difference in the lengths in independent of temperature. Coefficients of linear expansion of iron and aluminum are 12 xx10^(-6)C^(-1) and 23 xx 10^(-6)C^(-1) respectively.

An iron rod of length 50 cm is joined at an end to aluminium rod of length 100 cm. All measurements refer to 20^(0) C . Find the length of the composite system at 100^(o) C and its average coefficient of linear expansion. The coefficient of linear expansion of iron and aluminium are 12 X 10^(-6 ) C^(-1) and 24 X10^(-6 ) C ^(-1) respectively.

A concrete slab has a length of 10 m on a winter night when the temperature is 0^@C . Find the length of the slab on a summer day when the temperature is 35^@C . The coefficient of linear expansion of concrete is 1.0xx10^(-5) C^(-1) .

The volume of a glass vessel is 1000 cc at 20^@C . What volume of mercury should be poured into it at this temperature so that the volume of the remaining space does not change with temperature? Coefficients of cubical expansion of mercury and glass are 1.8 xx 10^(-4)C^(-1) and 9.0xx10^(-6)C^(-1). respectively.

A glass window is to be fit in an aluminum frame. The temperature on the working day is 40^@C and the glass window measures exactly 20 cm xx 30 cm. What should be the size of the aluminum frame so that there is no stress on the glass in winter even if the temperature drops to 0^@C ? Coefficients of linear expansion for glass and aluminum are 9.0 xx 10^(-6)C^(-1) and 24xx10^(-6)C^(-1) respectively.

A meter scale made of steel is calibrated at 20^@C to give correct reading. Find the distance between 50 cm mark and 51 cm mark if the scale is used at 10^@C . Coefficient of linear expansion of steel is 1.1 xx 10^(-5)C^(-1)

A steel rod is rigidly clamped at its two ends. The rod is under zero tension at 20^@C . If the temperature rises to 100^@ C , what force will the rod exert on one of the clapms? Area of cross section of the rod = 2.00 mm^2 . Coefficient of linear expansion of steel = 12.0 xx 10^(-6)C^(-1) and Young's modulus of steel 2.00 xx 10^(11) N m^(-2) .

A steel rod is clamped at its two ends and rests on a fixed horizontal base. The rod is unstrained at 20^@C . Find the longitudinal strain developed in the rod if the temperature rises to 50^@C . Coefficient of linear expansion of steel =1.2 xx 10^(-5)C^(-1) .

A pendulum clock consists of an iron rod connected to a small, heavy bob. If it is designed to keep correct time at 20^(0) C , how fast or slow will it go in 24 hours at 40^(0) C? Coefficient of linear expansion of iron = 1.2 xx 10^(-5)C^(-1) .

A steel ball initially at a pressure of 1.0 xx 10^5 Pa is heated from 20^@ C to 120^@ C keeping its volume constant. Find the pressure inside the ball. Coefficient of linear expansion of steel = 12 xx 10^(-6) C^(-1) and bulk modulus of steel = 1.6 xx 10^(11) N m^(-2)