If Young's modulus of iron is 2 ×10^11 N / m^2 and the interatomic spacing between two molecule

step 1 Given question we are given youngs modulus of iron of iron y is equal to 2 multiply 10 to the po

If Young's modulus of iron is 2 ×10^11 N / m^2 and the...

If Young's modulus of iron is $2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$ and the interatomic spacing between two molecules is $3 \times 10^{-10} \mathrm{~m}$, the interatomic force constant is (A) $60 \mathrm{~N} / \mathrm{m}$ (B) $120 \mathrm{~N} / \mathrm{m}$ (C) $3 \mathrm{~N} / \mathrm{m}$ (D) $180 \mathrm{~N} / \mathrm{m}$

If Young's modulus of iron is $2 \times 10^{11} \mathrm{~N} / \mathrm{m}^{2}$ and the interatomic spacing between two molecules is $3 \times 10^{-10} \mathrm{~m}$, the interatomic force constant is
(A) $60 \mathrm{~N} / \mathrm{m}$
(B) $120 \mathrm{~N} / \mathrm{m}$
(C) $3 \mathrm{~N} / \mathrm{m}$
(D) $180 \mathrm{~N} / \mathrm{m}$

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Key Concepts

Interatomic Spacing

Interatomic spacing refers to the equilibrium distance between neighboring atoms or molecules in a solid. This parameter is critical for understanding the structure of materials at the atomic level and influences various physical properties, including density and bonding interactions.

Young's Modulus

Young's modulus is a fundamental mechanical property that quantifies a material's stiffness by describing the ratio of applied stress to resulting strain in the elastic (reversible deformation) regime. It provides insight into how resistant a material is to being deformed under tension or compression.

Interatomic Force Constant

The interatomic force constant is a parameter that measures the strength of the interaction between atoms, analogous to a spring constant in mechanical systems. It quantifies how much restoring force arises when atoms are displaced from their equilibrium positions, and it plays an essential role in determining the vibrational properties of the lattice in solids.

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