The time dependence of physical quantity is given by \( \mathrm{P}=\mathrm{P}_{0} \mathrm{e}^{-\....

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The time dependence of physical quantity \( \mathrm{P} \) is
\( \mathrm{P} \)
given by \( \mathrm{P}=\mathrm{P}_{0} \mathrm{e}^{-\alpha \mathrm{t}^{2}+\beta \mathrm{t}+\gamma} \), where \( \alpha, \beta, \gamma \) are
W
constants and their dimensions are given by (where \( \mathrm{t} \) is time) -
(A) \( \mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{-2}, \mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{-1}, \mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{0} \)
(B) \( \mathrm{M}^{0} \mathrm{~L}^{-1} \mathrm{~T}^{-2}, \mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{-1}, \mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T} \)
(C) \( \mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{-1}, \mathrm{MLT}^{-2}, \mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{-1} \)
(D) ML T, M L T \( { }^{0}, \mathrm{M}^{0} \mathrm{~L}^{0} \mathrm{~T}^{0} \)


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