Q

# Solve it, The density of material in CGS system of units is 4g/cm3. In a system of units in which unit of length is 10 cm and unit of mass is 100g, the value of density of material will be

The density of material in CGS system of units is 4g/cm3. In a system of units in which unit of length is 10 cm and unit of mass is 100g, the value of density of material will be

• Option 1)

0.4

• Option 2)

40

• Option 3)

400

• Option 4)

0.04

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Option 2=40

Option 2..

40

As learnt in

To convert a physical quantity from one system to other -

$\dpi{100} n_{1}\left [ u_{1} \right ]= n_{2}\left [ u_{2} \right ]$

- wherein

$n_{2}=n_{1}\left [ \frac{M_{1}}{M_{2}} \right ]^{a}\left [ \frac{L_{1}}{L_{2}} \right ]^{b}\left [ \frac{T_{1}}{T_{2}} \right ]^{c}$

$\dpi{100} n_{1}\left [ u_{1} \right ]= n_{2}\left [ u_{2} \right ]$

$4g/cm^{3}=n^{2}\frac{100g}{(10cm)^{3}}=n_{2}=40$

Option 1)

0.4

This option is incorrect

Option 2)

40

This option is correct

Option 3)

400

This option is incorrect

Option 4)

0.04

This option is incorrect

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