The force of interaction between two atoms is given by \( F=\alpha \beta \exp \left(-\frac{x^{2}...
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The force of interaction between two atoms is given by \( F=\alpha \beta \exp \left(-\frac{x^{2}}{\alpha k T}\right) \); where \( x \) is the distance, \( k \) is the Boltzmann constant and \( T \) is temperature and \( \alpha \) and \( \beta \) are two constants. The dimension of \( \beta \) is
(a) \( \left[\mathrm{MLT}^{-2}\right] \)
(b) \( \left[\mathrm{M}^{0} \mathrm{~L}^{2} \mathrm{~T}^{-4}\right] \)
(c) \( \left[\mathrm{M}^{2} \mathrm{LT}^{-4}\right] \)
(d) \( \left[\mathrm{M}^{2} \mathrm{~L}^{2} \mathrm{~T}^{-2}\right] \)
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