The dimensions of the interatomic force const | vedclass

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Question

(A) The interatomic force constant $K$ is related to Young's modulus $Y$ and the interatomic distance $r_0$ by the relation $K = Y 	imes r_0$.The dim

Vedclass · Accepted Answer

$M{T^{ - 2}}$

Vedclass · Answer

(A) The interatomic force constant $K$ is related to Young's modulus $Y$ and the interatomic distance $r_0$ by the relation $K = Y 	imes r_0$.The dimensional formula for Young's modulus $Y$ is $[M L^{-1} T^{-2}]$.The dimensional formula for distance $r_0$ is $[L]$.Therefore,the dimensions of $K$ are $[M L^{-1} T^{-2}] 	imes [L] = [M T^{-2}]$.Thus,the correct option is $A$.

The dimensions of the interatomic force constant are

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