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

Question

The density of a material in CGS system of units is 4 g cm3. In a system of units in which unit of length is 10 cm and unit of mass is 100 g. the value of density of material will be (A) 0.04 (B) 0.4 (C) 40 (D) 400

Tardigrade Admin · Accepted Answer

As n1 u1=n2 u2 4 (g/ cm 3)=n2 (100 g /(10 cm )3) ⇒ n2=40

Q. The density of a material in $CGS$ system of units is $4 g c m^{3}$ . In a system of units in which unit of length is $10 c m$ and unit of mass is $100 g$ . the value of density of material will be

$0.04$

$0.4$

$40$

$400$

As $n_{1} u_{1} = n_{2} u_{2}$
$4 \frac{g}{c m ^{3}} = n_{2} \frac{100 g}{( 10 c m ) ^{3}}$
$\Rightarrow n_{2} = 40$

Q. The density of a material in CGS system of units is 4gcm3. In a system of units in which unit of length is 10cm and unit of mass is 100g. the value of density of material will be

0.04

0.4

40

400