If in a system of unit mass is measured in \( \alpha \mathrm{kg} \), length in \( \beta \) \( \m...

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If in a system of unit mass is measured in \( \alpha \mathrm{kg} \), length in \( \beta \) \( \mathrm{m} \) and time in \( \gamma \mathrm{sec} \). Find the value of 100 joule in the above system.
(a) \( 100 \alpha^{-1} \beta^{-2} \gamma^{2} \)
(b) \( 100 \alpha^{-2} \beta^{-1} \gamma^{-2} \)
(c) \( 100 \alpha \beta^{-2} \gamma \)
(d) \( 1000 \alpha^{-2} \beta^{2} \gamma^{-1} \)
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