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.

An iron metal rod is to maintain an accuracy of one part per million. The coefficient of linear expansion of iron is 1 xx 10^(-5 //@)C respectively. The difference in lengths is 10cm at all temperatures. Their initital lengths must be respectively.

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

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

A metal rod having a coefficient of linear expansion of 2 xx 10^-5 /^@C has a length of 100 cm at 20^@C . The temperature at which it is shortened by 1 mm is

A metal rod having a linear coefficient of expansion 2 xx 10^(-5 //@) C has a length 1m at 25^(@)C , the temperature at which it is shortened by 1mm is

A metal rod having a linear coefficient of expansion 2 xx 10^(-5 //@) C has a length 1m at 25^(@)C , the temperature at which it is shortened by 1mm 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 :