Which of the following statements is correct?

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(A) According to Hooke's law,the stress is directly proportional to the strain within the elastic limit. Therefore,Hooke's law is valid only within th

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Hooke's law is applicable only within the elastic limit.

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(A) According to Hooke's law,the stress is directly proportional to the strain within the elastic limit. Therefore,Hooke's law is valid only within the elastic limit of a material. Option $A$ is correct because it accurately describes the condition for the validity of Hooke's law. Option $B$ is incorrect because the adiabatic elastic constant is $\gamma$ times the isothermal elastic constant. Option $C$ is incorrect because Young's modulus has the same units as stress ($	ext{N/m}^2$ or $	ext{Pa}$). Option $D$ is incorrect because the energy density (stored energy per unit volume) is given by $\frac{1}{2} 	imes 	ext{stress} 	imes 	ext{strain}$.

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