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A calorie is a unit of heat energy and its value is \( 4.18 \mathrm{~J} \), where \( 1 \mathrm{~J}=1 \mathrm{~kg}-\mathrm{m}^{2} / \mathrm{s}^{2} \). Suppose we
\( \mathrm{P} \) use a new system of units in which unit of mass

W. equals \( \alpha \mathrm{kg} \), the unit of length equals \( \beta \mathrm{m} \) and the unit of the time is \( \gamma \mathrm{sec} \). Then the value of a calorie in the new system of units :-
(1) \( 4.18 \frac{\gamma^{2}}{\alpha \beta^{2}} \)
(2) \( 4.18 \frac{\alpha \beta^{2}}{\gamma^{2}} \)
(3) \( 4.18 \frac{\gamma^{2}}{\alpha} \)
(4) \( 4.18 \frac{\beta^{2}}{\alpha \gamma^{2}} \)
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