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Home  >>  JEEMAIN and AIPMT  >>  Physics  >>  Class11  >>  Units and Measurement
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In a certain system, $1$ unit of time is $5\;sec,$ 1 unit of mass is $20 \;kg$ and 1 unit of length is $10 m$. In this system $1$ unit of power corresponds to

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

Can you answer this question?

1 Answer

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$1 sec ^*=5 \; seconds$
$1 kg ^*=20 \;kg$
$1 m ^*=10 \; m$
$1 watt ^*=1 kg\;m^2 \; sec^{-3}$
$\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. 


answered Jun 16, 2013 by meena.p
edited Jan 9, 2014 by meena.p

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