The density of a material in CGS system is 8 g / cm 3. In a system of a unit in which unit of length is 5 cm and unit of mass is 20 g. The density of material is :-

Question

The density of a material in CGS system is 8 g / cm 3. In a system of a unit in which unit of length is 5 cm and unit of mass is 20 g. The density of material is :- (A) 8 (B) 20 (C) 50 (D) 80

Tardigrade Admin · Accepted Answer

n 1 u 1= n 2 u 2 ∴ n 2= n 1 ( u 1/ u 2)=8[( M 1/ M 2)][( L 2/ L 1)]3 =8[(1/20)][(5/1)]3=50

Q. The density of a material in CGS system is $8 g / c m^{3}$ . In a system of a unit in which unit of length is $5 c m$ and unit of mass is $20 g$ . The density of material is :-

8

20

50

80

$n_{1} u_{1} = n_{2} u_{2}$
$∴ n_{2} = n_{1} \frac{u _{1}}{u _{2}} = 8 [\frac{M _{1}}{M _{2}}] [\frac{L _{2}}{L _{1}}]^{3}$
$= 8 [\frac{1}{20}] [\frac{5}{1}]^{3} = 50$

Q. The density of a material in CGS system is 8g/cm3. In a system of a unit in which unit of length is 5cm and unit of mass is 20g. The density of material is :-

8

20

50

80

n1​u1​=n2​u2​ ∴n2​=n1​u2​u1​​=8[M2​M1​​][L1​L2​​]3 =8[201​][15​]3=50

Q. The density of a material in CGS system is $8 g / c m^{3}$ . In a system of a unit in which unit of length is $5 c m$ and unit of mass is $20 g$ . The density of material is :-

$n_{1} u_{1} = n_{2} u_{2}$
$∴ n_{2} = n_{1} \frac{u _{1}}{u _{2}} = 8 [\frac{M _{1}}{M _{2}}] [\frac{L _{2}}{L _{1}}]^{3}$
$= 8 [\frac{1}{20}] [\frac{5}{1}]^{3} = 50$