A ruler is accurate when the temperature is 25∘C. When the temperature drops to −15∘C, the ruler shrinks and no longer measures distances accurately.However the ruler can be made to read correctly if a force of magnitude 1.2×103 N applied to each end so as to stretch it back to its original length. The ruler has a cross sectional area of 1.6×10−5 m2, and it is made from a material whose coefficient of linear expansion is 2.5×10−5(C∘)−1. What is Young's modulus (in 109 N/m2) for the material from which the ruler is made?

A ruler is accurate when the temperature is 25∘C. When the temperatu

1.	A ruler is accurate when the temperature is 25∘C. When the temperature drops to −15∘C, the ruler shrinks and no longer measures distances accurately.However the ruler can be made to read correctly if a force of magnitude 1.2×103 N applied to each end so as to stretch it back to its original length. The ruler has a cross sectional area of 1.6×10−5 m2, and it is made from a material whose coefficient of linear expansion is 2.5×10−5(C∘)−1. What is Young's modulus (in 109 N/m2) for the material from which the ruler is made?
Answer» A ruler is accurate when the temperature is $25^{\circ} C$ . When the temperature drops to $- 15^{\circ} C$ , the ruler shrinks and no longer measures distances accurately.However the ruler can be made to read correctly if a force of magnitude $1.2 \times 10^{3} N$ applied to each end so as to stretch it back to its original length. The ruler has a cross sectional area of $1.6 \times 10^{- 5} m^{2}$ , and it is made from a material whose coefficient of linear expansion is $2.5 \times 10^{- 5} (C^{\circ})^{- 1}$ . What is Young's modulus (in $10^{9} {N/m}^{2}$ ) for the material from which the ruler is made?

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