Question

A piece of wood of mass 150 g has a volume of 200 cm3.Find the density of wood in CGS unit and SI unit

Answer 1

Answer:

in CGS uits 0.75 g /cm³ & in SI units  750    kg /m³

Explanation:

IN CGS system                                    IN SI system

density = mass / volume    ║    density = 0.15 / 0.0002

density = 150 / 200            ║     density = 750    kg /m³

density = 0.75 g /cm³         ║

Answer 2

Given :- Mass of the wood = 150 g

⠀⠀⠀⠀⠀Volume of the wood = 2000 cm³

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To Find :- The density of the wood in : CGS system and SI unit.

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Solution:-

We are given that ;-

• M = 150 g
• V = 200 cm³

So ;-

⠀⠀⠀⠀⠀⠀⠀

$\sf{ \underline\color{pink}Density \: = \: Mass/Volume}$

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CGS System:-

$\: \;\;\sf : \implies \: D = M/V$

⠀⠀⠀⠀⠀⠀

$\: \: \: \: \: \: \sf : \implies \: D = 150/200$

⠀⠀⠀⠀⠀⠀⠀

$\: \: \: \: \: \: \: \sf : \implies \: D = \dfrac{150}{200}$

⠀⠀⠀⠀⠀⠀⠀

$\: \: \: \: \: \: \: \: \: \; \; \; \sf : \implies \: D = \dfrac{ \cancel{150} { \: \: }^{3} }{ \cancel{200} { \: \: }^{4} }$

⠀⠀⠀⠀⠀⠀⠀

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf : \implies \: D = 3/4$

⠀⠀⠀⠀⠀⠀⠀

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf : \implies \: D = 0.75 \: g/cm {}^{3}$

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SI System:-

$\: \: \: \: \: \: \: \sf : \implies \: D = 0.75 \: g/cm {}^{2}$

⠀⠀⠀⠀⠀⠀⠀

$\: \: \: \: \: \: \: \: \: \sf : \implies \: D =0.75 \times 1000 \: kg /m {}^{3}$

⠀⠀⠀⠀⠀⠀⠀

$\: \: \: \: \: \: \: \: \: \: \: \sf : \implies \: D = \dfrac{1000 \times 1000 \times 100 \times 75}{100 \times 100 \times 1000}$

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$\: \: \: \: \: \: \: \: \: \: \: \: \: \sf : \implies \: D = 750 \: kgm {}^{ \: - 3}$

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• It's density in CGS System = 0.75 g/cm³
• It's density in SI System = 750 kgm³