Calculate the dimension of $\alpha, \beta$ and $\gamma$ in the equation, $E =\alpha M +\beta M ^{-1} LT ^{-2}+\gamma MLT ^{-1}$ where $E$ represents energy.
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Calculate the dimension of $\alpha, \beta$ and $\gamma$ in the equation, $E =\alpha M +\beta M ^{-1} LT ^{-2}+\gamma MLT ^{-1}$ where $E$ represents energy.

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Answer. : $\left[ L ^{2} T ^{-2}\right] ;\left[ M ^{2} L \right],\left[ LT ^{-1}\right]$.

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