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Question

Question: The dimensions of inter atomic force constant are...

The dimensions of inter atomic force constant are

A

MT−2MT^{- 2}

B

MLT−1MLT^{- 1}

C

MLT−2MLT^{- 2}

D

ML−1T−1ML^{- 1}T^{- 1}

Answer

MT−2MT^{- 2}

Explanation

Solution

K=Y×r0K = Y \times r_{0}= [ML−1T−2]×[L]\lbrack ML^{- 1}T^{- 2}\rbrack \times \lbrack L\rbrack = [MT−2]\lbrack MT^{- 2}\rbrack

YY = Young's modulus and r0r_{0} = Interatomic distance