The following data were obtained when a wire was stretched within the elastic region Force applied to wire 100 N Area of cross-section of wire $10^{- 6}\ m^{2}$ Extensional of wire $2 imes 10^{- 9}m$ Which of the following deductions can be correctly made from this data? The value of Young’s Modulus is $10^{11}\ N\ m^{- 2}$ The strain is $10^{- 3}$ The energy stored in the wire when the load is applied is 10 J

Question

The following data were obtained when a wire was stretched within the elastic region Force applied to wire 100 N Area of cross-section of wire $10^{- 6}\ m^{2}$ Extensional of wire $2 	imes 10^{- 9}m$ Which of the following deductions can be correctly made from this data? The value of Young’s Modulus is $10^{11}\ N\ m^{- 2}$ The strain is $10^{- 3}$ The energy stored in the wire when the load is applied is 10 J

Dr. Abubacker · Accepted Answer

(b) Stress = $\frac{100N}{10^{- 6}m^{2}} = 10^{8}\ Nm^{- 2}$
Strain $= \ \frac{2 	imes 10^{- 3}}{2} = 10^{- 3}$
Young modulus
= $\frac{10^{8}}{10^{- 3}}\ Nm^{- 2} = 10^{11}\ Nm^{- 2}\ $
Energy stored = $\frac{1}{2} 	imes 100\  	imes 2 	imes 10^{- 3}\ J$
= 10$-$1H = 0.1J

Explanation

Reviewed by Dr. Abubacker

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