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Density of a liquid in CGS system is $0.625 g / c m^{3}$ . What is its magnitude in SI system

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$0.625$

$625$

$0.00625$

$0.0625$

answer is D.

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Detailed Solution

1 CGS SI

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

$N_{1} [M_{1} L_{1}^{- 3}] = N_{2} [M_{2} L_{2}^{- 3}$

$∴ N_{2} = N_{1} [\frac{M_{1}}{M_{2}}] \times {[\frac{L_{1}}{L_{2}}]}^{- 3}$

$= 0.625 [\frac{1 g}{1 k g}] \times {[\frac{1 c m}{1 m}]}^{- 3}$

$= 0.625 \times 10^{- 3} \times 10^{6} = 625$

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