A steel scale measures the length of a copper wire as `80.0 cm` when both area at `20^(@)C` (the calibration temperature for scale). What would be the scale read for the length of the wire when both are at `40^(@)C`? (Given `alpha_("steel") = 11 xx 10^(-6) per ^(@)C` and `alpha_("copper") = 17 xx 10^(-6) per^(@)C`)

A steel tape measures that length of a copper rod as 90.0 cm when both are at 10^(@)C , the calibration temperature, for the tape. What would the tape read for the length of the rod when both are at 30^(@)C . Given alpha_("steel")=1.2xx10^(-5)" per".^(@)Cand alpha_(Cu)=1.7xx10^(-5)per .^(@)C

A steel scale measures the length of a copper rod as l_(0) when both are at 20^(@)C , which is the calibration temperature for the scale . The scale reading when both are at 40^(@)C , is :-

The length of the steel rod which would have the same difference in length with a copper rod of length 24cm at all temperatures. (alpha_("copper") = 18 xx 10^(-6) K^(-1) alpha_("steel") = 12 xx 10^(-6) k^(-1)) is -

What should be the length of steel and copper rods at 0^(@)C that the length of steel rod is 5 cm longer than copper at all termperature? Given alpha_(Cu) = 1.7 xx 10^(5) .^(@)C^(-1) and alpha_(steel) = 1.1 xx 10^(5) .^(@)C^(-1) .

A heavy brass bar has projections at its ends as shown in the figure. Two find steel wires, fastened between the projections, are just taut (zero tension) when the whole systeam is at 0^(0)C . What is the tensile stress in the steel wires when the temperature of the systeam is raised to 300^(0)C ? Given that alpha_("brass") = 20 xx 10^(-6 ^(@))C^(-1) alpha_("steel") = 12 xx 10^(-6@)C^(-1) Y_("steel") = 2 xx 10^(11) Nm^(-2)

A glass rod when measured with a zinc scale, both being at 30^(@)C , appears to be of length 100 cm . If the scale shows correct reading at 0^(@)C , then the true length of glass rod at 30^(@)C and 0^(@)C are :- ( alpha_("glass") = 8 xx 10^(-6)"^(@)C ^(-1), alpha_("zinc") = 26 xx 10^(-6) K^(-1) )

Two fines steel wires , fastened between the projectors of a heavy brass bar, are just taut when the whole system is at 0^(@)C . What is the tensile stress in the steel wires the temperature of the system is raised by 200^(@)C ? ( alpha_("glass") = 2 xx 10^(-5) ^(@)C ^(-1), alpha_("steel") = 1.2 xx 10^(-5)"^(@)C^(-1), Y_("steel") = 200GNm^(-2) )