The force of interaction between two atoms is given by F = α β exp ( − α k T x 2 ) ; where x is the distance, k is the Boltzmann constant and T is temperature and α and β are two constants. The dime

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The force of interaction between two atoms is given by F = α β exp ( − α k T x 2 ​ ) ; where x is the distance, k is the Boltzmann constant and T is temperature and α and β are two constants. The dimensions of β is:

TestHub · Accepted Answer

Force of interaction between two atoms, F = α β e ( α kT − x 2 ​ ) Since exponential terms are dimensionless ∴ [ α kT x 2 ​ ] = M 0 L 0 T 0 ⇒ [ α ] ML 2 T − 2 L 2 ​ = M 0 L 0 T 0 ⇒ [ α ] = M − 1 T 2 [ F ] = [ α ] [ β ] MLT − 2 = M − 1 T 2 [ β ] ⇒ [ β ] = M 2 L T − 4

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