The question requires evaluating the statements related to the concept of elasticity in physics. Let’s analyze both the assertion and the reason carefully.
Based on the analysis, the correct option is: Both (A) and (R) are true and (R) is the correct explanation (A).
The assertion correctly defines the property of elasticity. The reason explains that the restoring force is a result of interatomic and intermolecular forces, which is true. However, while the reason is accurate, it does not necessarily explain the assertion in all contexts.
The Correct answer is: Both (A) and (R) are true and (R) is the correct explanation (A)
A steel wire of length 2 m and Young's modulus \( 2.0 \times 10^{11} \, \text{N/m}^2 \) is stretched by a force. If Poisson's ratio and transverse strain for the wire are \( 0.2 \) and \( 10^{-3} \) respectively, then the elastic potential energy density of the wire is \( \times 10^6\), in SI units .
Let \( \alpha = \dfrac{-1 + i\sqrt{3}}{2} \) and \( \beta = \dfrac{-1 - i\sqrt{3}}{2} \), where \( i = \sqrt{-1} \). If
\[ (7 - 7\alpha + 9\beta)^{20} + (9 + 7\alpha - 7\beta)^{20} + (-7 + 9\alpha + 7\beta)^{20} + (14 + 7\alpha + 7\beta)^{20} = m^{10}, \] then the value of \( m \) is ___________.