The coefficient of linear expansion of steel and brass are `11 xx 10^-6//^@ C` and `19 xx 10^-6// ^@ C`, respectively. If their difference in lengths at all temperature has to kept constant at `30 cm`, their lengths at `0^@ C` should be

Two metal rods have coefficients of linear exapansion 1.1 xx 10^(-5 //)C and 1.65 xx 10^(-5 //@)C respectively. The difference in lengths is 10cm at all temperatures. Their initial lengths must be respectively.

Consider a brass rod and a steel rod (80 cm longer than brass rod) at 0^(@)C . It is observed that on increasing temperatures of the two rods by same amount difference in lengths of the two rods does not change. Given that the thermal coefficient of linear expansion for steel and brass are 11xx10^(-6).^(@)C^(-1) and 19xx10^(-6).^(@)C^(-1) respectively. The sum of lengths of the two rods at 0^(@)C is

Consider a brass rod and a steel rod (80 cm longer than brass rod) at 0^(@)C . It is observed that on increasing temperatures of the two rods by same amount difference in lengths of the two rods does not change. Given that the thermal coefficient of linear expansion for steel and brass are 11xx10^(-6).^(@)C^(-1) and 19xx10^(-6).^(@)C^(-1) respectively. The sum of lengths of the two rods at 0^(@)C is

An iron rod of length 50 cm is joined at an end to an aluminum rod of length 100 cm. All measurements refer to 20^(@)C . The coefficients of linear expansion of iron and aluminum are 12xx10^(-6)//^(@)C and 24xx10^(-6)//^(@)C , respectively. The average coefficient of expansion of composite system is :

An iron rod of length 50 cm is joined at an end to an aluminum rod of length 100 cm. All measurements refer to 20^(@)C . The coefficients of linear expansion of iron and aluminum are 12xx10^(-6)//^(@)C and 24xx10^(-6)//^(@)C , respectively. The average coefficient of expansion of composite system is :