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If $U_{1}, U_{2}$ are units of a physical quantity, $N_{1}, {N_{2}}_{}$ are their numerical values then

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$\frac{N_{1}}{N_{2}} = \frac{U_{1}}{U 2_{}}$

$\frac{N_{1}}{N_{2}} = \frac{U_{2}}{U_{1}}$

$\frac{N_{1}}{N_{2}} = \sqrt{\frac{U_{2}}{U_{1}}}$

${[\frac{N_{1}}{N_{2}}]}^{2}$ $= \frac{{U_{1}}_{}}{U_{2}}$

answer is B.

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Detailed Solution

: Given that $U_{1}, U_{2}$ are the units of a physical quantity (P) and $N_{1}, N_{2}$ are their

numerical values

We can have P=NU (in any system) $P = N U P = N_{1} U_{2}; P = N_{2} U_{2} N_{1} U_{1} = N_{2} U_{2} \frac{N_{1}}{N_{2}} = \frac{U_{2}}{U_{1}}$

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