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.

The coefficient of linear expansion of a metal rod is 12 xx 10^(-6//0)C , its value in per ^(0)F

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.

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 :

A steel rod of length 5 m is fixed between two support. The coefficient of linear expansion of steel is 12.5 xx 10-6//^(@)C . Calculate the stress (in 10^(8) N//m2 ) in the rod for an increase in temperature of 40^(@)C . Young's modulus for steel is 2 xx 10^(11) Nm^(-2)

The coefficient of apparent expansion of mercury in a glass vessel is 153xx10^(-6)//^(@)C and in a steel vessel is 114xx10^(-6)//^(@)C . If alpha for steel is 12xx10^(-6)//^(@)C , then that of glass is

A crystal has a coefficient of linear expansion 12 xx 10^(-6 //@)C in one direaction and 244 xx 10^(-6 //@)C in every direaction at right angles to it. Then the coefficient of cubical expansion of crystal is

The coefficient of apparent expansion of mercury in a glass vessel is 153xx10^(-6)//""^(@)C and in a steel vessel is 144xx10^(-6)//""^(@)C . If alpha for steel is 12xx10^(-6)//""^(@)C then, that of glass is

A non-isotropic solid metal cube has coefficients of linear expansion as 5 xx 10^(–5) //''^(@)C along the x-axis and 5 xx 10^(–6)//""^(@)C along the y and the z-axis. If coefficient of volume expansion of the solid is C xx 10^(–6) //""^(@)C then the value of C is