QJEEM19Ph7445: JEE Main 2019 Physics - Class 11 JEEM19Ph7445 Solution: The force of interaction between two atoms is given by F = α β…

Question

Verified Solution • 2025–26 Session moderate

The force of interaction between two atoms is given by F =

α

β

exp

(- \frac{x^{2}}{α k t})

; where x is the distance, k is the Boltzmann constant and T is temperature and

α

and

β

are two constants. The dimension of

β

is :

Accepted Answer

F = α β e^{(\frac{- x^{2}}{α K T})}

[\frac{x^{2}}{α K T}] = M^{o} L^{o} T^{o}

\frac{L^{2}}{[α] M L^{2} T^{- 2}}

=

M^{o} L^{o} T^{o}

\Rightarrow

[α] = M^{- 1} T^{2}

[F] = [α] [β]

MLT^{$-$ 2} = M^{$-$ 1}T²[

β

]

\Rightarrow

[

β

] = M²LT^{$-$ 4}

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