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If the unit of length, mass and time be each doubled, then how the unit of work will change.

If the unit of length, mass and time be each doubled, then the unit of work will Doubled.

Explanation —

$\text { work }=\left[ ML ^{2} T ^{-2}\right]$

$\frac{ U _{2}}{ U _{1}}=\frac{ M _{2}}{ M _{1}}\left[\frac{ L _{2}}{ L _{1}}\right]^{2}\left[\frac{ T _{2}}{ T _{1}}\right]^{-2}$

$=\left[\frac{2 M _{1}}{ M _{1}}\right]\left[\frac{2 L _{1}}{ L _{1}}\right]^{2}\left[\frac{2 T _{1}}{ T _{1}}\right]^{-2}$

$=2 \times 2^{2} \times 2^{-2}=2 \text { hence, } U _{2}=2 U _{1}$

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