\[(a)\;16\;watts\quad (b)\;\frac{1}{16} watts\quad (c)\;25 \;watts \quad (d)\;none\;of\;these\]

$1 sec ^*=5 \; seconds$

$1 kg ^*=20 \;kg$

$1 m ^*=10 \; m$

$1 watt ^*=1 kg\;m^2 \; sec^{-3}$

$\quad\qquad=\large\frac{1}{20} $$kg^{*}\bigg(\large\frac{1}{10} $$m^ *\bigg)^2\bigg(\large\frac{1}{5} $$\sec ^*\bigg)^{-3}$

$\qquad\quad=\large\frac{1}{20} \times \frac{1}{100} $$\times 125 \;kg ^*\;m^{\large*^2} \;sec ^{\large*^{-3}}$

$\qquad\quad=\large\frac{1}{16} $$watt^*$

Hence 1 unit of power$=\large\frac{1}{16}$$ watts$

Hence b is the correct answer.

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