Physics

# Calorie is a unit of heat or energy whose value is $4.2J$, where $J=1\;kgm^2s^{-2}$. If one uses a unit system in which units of mass, length and time are taken as $\alpha\;kg,\;\beta\;metre$ and $\gamma\;second$ respectively, then the value of calorie in this system will be

$\;4.2\alpha^{-1}\beta^{-2}\gamma^{2}$

##### SOLUTION

$\because\,1\;cal=4.2\;J\;\;\;\therefore\,1\;cal=4.2\;kgm^2s^{-2}$

$\;\;\;\;\;\;\;\;\;\;\;\;=(4.2\,\alpha^{-1}\beta^{-2}\gamma^2)(\alpha kg)(\beta m)^2(\gamma s)^{-2}$

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Single Correct Medium Published on 18th 08, 2020
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