A steel scale measures the length of a copper rod as L cm when both are at $$20oC$$, the calibration temperature for the scale. If the coefficients of linear expansion for steel and copper are αs and αcrespectively, what would be the scale reading (in$$ $$cm) when both are at $$27oC$$ ?

Question

A steel scale measures the length of a copper rod as L cm when both are at $$20oC$$, the calibration temperature for the scale. If the coefficients of linear expansion for steel and copper are αs and αcrespectively, what would be the scale reading (in$$ $$cm) when both are at $$27oC$$ ?

Infinity Learn · Accepted Answer

Length of $$1$$ cm division of steel scale at $$21oC$$ $$is(1cm)1+$$α$$s(21$$−$$20)=1+$$αscmLength of copper rod at $$21oC$$ will beL×$$1$$×α$$C(21$$−$$20)=L1+$$αCcm∴Scale reading at $$21oC$$ will $$beL1+$$α$$c1+$$αscm

A steel scale measures the length of a copper rod as L cm when both are at 20^oC, the calibration temperature for the scale. If the coefficients of linear expansion for steel and copper are $α_{s} and α_{c}$ respectively, what would be the scale reading (in cm) when both are at 27^oC ?

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A steel scale measures the length of a copper rod as L cm when both are at 20oC, the calibration temperature for the scale. If the coefficients of linear expansion for steel and copper are αs and αcrespectively, what would be the scale reading (in cm) when both are at 27oC ?

Remember concepts with our Masterclasses.

Ready to Test Your Skills?

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A steel scale measures the length of a copper rod as L cm when both are at 20^oC, the calibration temperature for the scale. If the coefficients of linear expansion for steel and copper are $α_{s} and α_{c}$ respectively, what would be the scale reading (in cm) when both are at 27^oC ?