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Obtain the dimensional formula for universal gas constant.
(a) \( \left[\mathrm{M} \mathrm{L}^{2} \mathrm{~T}^{-2} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right] \) (b) \( \left[\mathrm{ML}^{3} \mathrm{~T}^{-1} \mathrm{~mol}^{-2} \mathrm{~K}^{-2}\right] \)
(c) \( \left[\mathrm{M}^{2} \mathrm{LT}^{-1} \mathrm{~mol}^{-1} \mathrm{~K}^{-1}\right] \) (d) \( \left[\mathrm{M}^{3} \mathrm{LT}^{-2} \mathrm{~mol}^{-1} \mathrm{~K}^{-2}\right] \)
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